Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\). (English) Zbl 1512.15014 Linear Algebra Appl. 665, 107-138 (2023). Reviewer: Ali Morassaei (Zanjan) MSC: 15A24 15A21 15B33 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 665, 107--138 (2023; Zbl 1512.15014) Full Text: DOI arXiv
Groenewald, G. J.; Goosen, G.; van Rensburg, D. B. Janse; Ran, A. C. M.; van Straaten, M. Galois groups and rational solutions of \(p(X) = A\). arXiv:2307.06303 Preprint, arXiv:2307.06303 [math.NT] (2023). MSC: 15A20 15A24 15B33 12F10 BibTeX Cite \textit{G. J. Groenewald} et al., ``Galois groups and rational solutions of $p(X) = A$'', Preprint, arXiv:2307.06303 [math.NT] (2023) Full Text: arXiv OA License
Anehila, B.; Ran, A. C. M. A note on a conjecture concerning rank one perturbations of singular M-matrices. (English) Zbl 1502.15007 Quaest. Math. 45, No. 10, 1529-1537 (2022). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{B. Anehila} and \textit{A. C. M. Ran}, Quaest. Math. 45, No. 10, 1529--1537 (2022; Zbl 1502.15007) Full Text: DOI arXiv
Ran, A. C. M. A note on the structure of expansive matrices in indefinite inner product spaces. (English) Zbl 07603351 Linear Algebra Appl. 655, 291-301 (2022). MSC: 47B50 15A21 PDFBibTeX XMLCite \textit{A. C. M. Ran}, Linear Algebra Appl. 655, 291--301 (2022; Zbl 07603351) Full Text: DOI arXiv
Ran, André C. M.; Wojtylak, Michał Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II. (English) Zbl 1495.15016 Complex Anal. Oper. Theory 16, No. 6, Paper No. 91, 13 p. (2022). MSC: 15A18 15A42 47A55 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Complex Anal. Oper. Theory 16, No. 6, Paper No. 91, 13 p. (2022; Zbl 1495.15016) Full Text: DOI arXiv
van Rensburg, D. B. Janse; Ran, A. C. M.; van Straaten, M. An interlacing result for Hermitian matrices in Minkowski space. arXiv:2212.00319 Preprint, arXiv:2212.00319 [math.FA] (2022). MSC: 15A18 15A42 47B50 BibTeX Cite \textit{D. B. J. van Rensburg} et al., ``An interlacing result for Hermitian matrices in Minkowski space'', Preprint, arXiv:2212.00319 [math.FA] (2022) Full Text: arXiv OA License
Groenewald, Gilbert J.; van Rensburg, Dawie B. Janse; Ran, André C. M.; Theron, Frieda; van Straaten, Madelein Polar decompositions of quaternion matrices in indefinite inner product spaces. (English) Zbl 1482.15026 Electron. J. Linear Algebra 37, 659-670 (2021). MSC: 15B33 47B50 15A23 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Electron. J. Linear Algebra 37, 659--670 (2021; Zbl 1482.15026) Full Text: arXiv Link
Janse van Rensburg, Dawie B.; Ran, André C. M.; Theron, Frieda; van Straaten, Madelein \(m\)th roots of \(H\)-selfadjoint matrices over the quaternions. (English) Zbl 1471.15025 Electron. J. Linear Algebra 37, 492-503 (2021). Reviewer: Yansheng Wu (Nanjing) MSC: 15B33 15A16 47B50 PDFBibTeX XMLCite \textit{D. B. Janse van Rensburg} et al., Electron. J. Linear Algebra 37, 492--503 (2021; Zbl 1471.15025) Full Text: arXiv Link
Ran, André C. M.; Wojtylak, Michał Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. (English) Zbl 1472.15012 Complex Anal. Oper. Theory 15, No. 3, Paper No. 44, 28 p. (2021). Reviewer: Sarah Plosker (Brandon) MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Complex Anal. Oper. Theory 15, No. 3, Paper No. 44, 28 p. (2021; Zbl 1472.15012) Full Text: DOI arXiv
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. An alternative canonical form for quaternionic \(H\)-unitary matrices. (English) Zbl 1472.15016 Linear Algebra Appl. 623, 282-298 (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A21 15A20 15B33 47B50 15B57 15A63 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 623, 282--298 (2021; Zbl 1472.15016) Full Text: DOI
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. \(m\) th roots of \(H\)-selfadjoint matrices. (English) Zbl 1460.15015 Linear Algebra Appl. 610, 804-826 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A20 15A16 15A63 15B57 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 610, 804--826 (2021; Zbl 1460.15015) Full Text: DOI arXiv
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. Canonical form for \(H\)-symplectic matrices. (English) Zbl 1473.15020 Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 269-290 (2018). Reviewer: Bích Nhu Phạm (Can Tho) MSC: 15A21 15B57 15A63 47B50 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Oper. Theory: Adv. Appl. 271, 269--290 (2018; Zbl 1473.15020) Full Text: DOI
Mehl, Christian; Ran, Andre C. M. Low rank perturbations of quaternion matrices. (English) Zbl 1386.15059 Electron. J. Linear Algebra 32, 514-530 (2017). MSC: 15B33 15A18 15B57 47S10 47A55 PDFBibTeX XMLCite \textit{C. Mehl} and \textit{A. C. M. Ran}, Electron. J. Linear Algebra 32, 514--530 (2017; Zbl 1386.15059) Full Text: DOI Link
Batzke, Leonhard; Mehl, Christian; Ran, André C. M.; Rodman, Leiba Generic rank-\(k\) perturbations of structured matrices. (English) Zbl 1371.15013 Eisner, Tanja (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). Operator Theory: Advances and Applications 255, 27-48 (2016). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A30 15A63 15B57 15A03 PDFBibTeX XMLCite \textit{L. Batzke} et al., Oper. Theory: Adv. Appl. 255, 27--48 (2016; Zbl 1371.15013) Full Text: DOI
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. A canonical form for \(H\)-unitary matrices. (English) Zbl 1360.15015 Oper. Matrices 10, No. 4, 739-783 (2016). Reviewer: Mihail Voicu (Iaşi) MSC: 15A21 15A63 15B10 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., Oper. Matrices 10, No. 4, 739--783 (2016; Zbl 1360.15015) Full Text: DOI
Eisner, Tanja (ed.); Jacob, Birgit (ed.); Ran, André (ed.); Zwart, Hans (ed.) Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. (English) Zbl 1356.47001 Operator Theory: Advances and Applications 255. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). viii, 233 p. (2016). MSC: 47-06 46-06 37-06 15-06 35-06 00B25 PDFBibTeX XMLCite \textit{T. Eisner} (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14--18, 2014. Basel: Birkhäuser/Springer (2016; Zbl 1356.47001) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. (English) Zbl 1335.15013 Linear Multilinear Algebra 64, No. 3, 527-556 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A18 15A63 15A21 15A54 15B57 34A30 PDFBibTeX XMLCite \textit{C. Mehl} et al., Linear Multilinear Algebra 64, No. 3, 527--556 (2016; Zbl 1335.15013) Full Text: DOI
Ran, André C. M. The algebraic Riccati equation and its role in indefinite inner product spaces. (English) Zbl 1335.47009 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 451-469 (2015). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A62 49N10 15A24 47N70 47-02 PDFBibTeX XMLCite \textit{A. C. M. Ran}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 451--469 (2015; Zbl 1335.47009) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Stability in matrix analysis problems. (English) Zbl 1327.15034 Benner, Peter (ed.) et al., Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer (ISBN 978-3-319-15259-2/hbk; 978-3-319-15260-8/ebook). 349-376 (2015). MSC: 15A24 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, in: Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer. 349--376 (2015; Zbl 1327.15034) Full Text: DOI
Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. Simple forms and invariant subspaces of \(H\)-expansive matrices. (English) Zbl 1309.15019 Linear Algebra Appl. 470, 300-340 (2015). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{J. H. Fourie} et al., Linear Algebra Appl. 470, 300--340 (2015; Zbl 1309.15019) Full Text: DOI
Rabe, H.; Ran, A. C. M. A peculiar permutation phenomenon arising from the singular vector entries of a special class of Toeplitz matrices. (English) Zbl 1309.15021 Linear Algebra Appl. 459, 368-383 (2014). MSC: 15A18 15B05 PDFBibTeX XMLCite \textit{H. Rabe} and \textit{A. C. M. Ran}, Linear Algebra Appl. 459, 368--383 (2014; Zbl 1309.15021) Full Text: DOI
Bierkens, Joris; Ran, André A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? (English) Zbl 1291.15017 Linear Algebra Appl. 457, 191-208 (2014). MSC: 15A18 PDFBibTeX XMLCite \textit{J. Bierkens} and \textit{A. Ran}, Linear Algebra Appl. 457, 191--208 (2014; Zbl 1291.15017) Full Text: DOI arXiv
Rabe, Hermann; Ran, André C. M. Asymptotics of the smallest singular value of a class of Toeplitz-generated matrices. II. (English) Zbl 1380.15028 Integral Equations Oper. Theory 79, No. 2, 243-253 (2014). MSC: 15B05 15A18 47B35 PDFBibTeX XMLCite \textit{H. Rabe} and \textit{A. C. M. Ran}, Integral Equations Oper. Theory 79, No. 2, 243--253 (2014; Zbl 1380.15028) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. (English) Zbl 1291.15061 BIT 54, No. 1, 219-255 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A63 15A21 47A55 15A42 15A18 15B10 PDFBibTeX XMLCite \textit{C. Mehl} et al., BIT 54, No. 1, 219--255 (2014; Zbl 1291.15061) Full Text: DOI
Fourie, J. H.; Groenwald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. Real and complex invariant subspaces for matrices which are \(H\)-positive real in an indefinite inner product space. (English) Zbl 1288.15002 Electron. J. Linear Algebra 27, 124-145 (2014). MSC: 15A03 15A63 15B48 PDFBibTeX XMLCite \textit{J. H. Fourie} et al., Electron. J. Linear Algebra 27, 124--145 (2014; Zbl 1288.15002) Full Text: DOI
Rabe, Hermann; Ran, André C. M. Asymptotics of the smallest singular value of a class of Toeplitz-generated matrices and related finite rank perturbations. (English) Zbl 1292.15031 Integral Equations Oper. Theory 77, No. 3, 385-396 (2013). MSC: 15B05 15A18 47B35 PDFBibTeX XMLCite \textit{H. Rabe} and \textit{A. C. M. Ran}, Integral Equations Oper. Theory 77, No. 3, 385--396 (2013; Zbl 1292.15031) Full Text: DOI
ter Horst, Sanne; Ran, André C. M. Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces. (English) Zbl 1297.47005 Linear Algebra Appl. 439, No. 3, 793-805 (2013). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47A05 47A64 15A99 PDFBibTeX XMLCite \textit{S. ter Horst} and \textit{A. C. M. Ran}, Linear Algebra Appl. 439, No. 3, 793--805 (2013; Zbl 1297.47005) Full Text: DOI arXiv
Fourie, J. H.; Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M. Rank one perturbations of \(H\)-positive real matrices. (English) Zbl 1283.15102 Linear Algebra Appl. 439, No. 3, 653-674 (2013). MSC: 15B48 15A03 15A21 15B57 15A18 PDFBibTeX XMLCite \textit{J. H. Fourie} et al., Linear Algebra Appl. 439, No. 3, 653--674 (2013; Zbl 1283.15102) Full Text: DOI
Ran, André C. M.; van Schuppen, Jan H. Distributed state estimation with communication of observations. (English) Zbl 1280.93085 Linear Algebra Appl. 439, No. 3, 600-612 (2013). MSC: 93E11 15A24 93A14 93C41 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{J. H. van Schuppen}, Linear Algebra Appl. 439, No. 3, 600--612 (2013; Zbl 1280.93085) Full Text: DOI
Böttcher, Albrecht (ed.); Brualdi, Richard (ed.); Dym, Harry (ed.); Kaashoek, Rien (ed.); Ran, Andre (ed.) Preface. (English) Zbl 1298.00102 Linear Algebra Appl. 439, No. 3, 511-512 (2013). MSC: 00B15 01A70 15-03 47-03 PDFBibTeX XMLCite \textit{A. Böttcher} (ed.) et al., Linear Algebra Appl. 439, No. 3, 511--512 (2013; Zbl 1298.00102) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Jordan forms of real and complex matrices under rank one perturbations. (English) Zbl 1281.15012 Oper. Matrices 7, No. 2, 381-398 (2013). Reviewer: Mihail Voicu (Iaşi) MSC: 15A21 15A18 47A55 PDFBibTeX XMLCite \textit{C. Mehl} et al., Oper. Matrices 7, No. 2, 381--398 (2013; Zbl 1281.15012) Full Text: DOI Link
Ran, André C. M.; Serény, András The finite section method for infinite Vandermonde matrices. (English) Zbl 1259.15004 Indag. Math., New Ser. 23, No. 4, 884-899 (2012). Reviewer: Cyril Fischer (Praha) MSC: 15A06 26E15 40A05 15B05 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{A. Serény}, Indag. Math., New Ser. 23, No. 4, 884--899 (2012; Zbl 1259.15004) Full Text: DOI
Lerer, Leonid; Ran, André C. M. The discrete algebraic Riccati equation and Hermitian block Toeplitz matrices. (English) Zbl 1252.15018 Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 495-512 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A24 15B05 PDFBibTeX XMLCite \textit{L. Lerer} and \textit{A. C. M. Ran}, Oper. Theory: Adv. Appl. 218, 495--512 (2012; Zbl 1252.15018) Full Text: DOI
Ran, André C. M.; Wojtylak, Michał Eigenvalues of rank one perturbations of unstructured matrices. (English) Zbl 1247.15009 Linear Algebra Appl. 437, No. 2, 589-600 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Linear Algebra Appl. 437, No. 2, 589--600 (2012; Zbl 1247.15009) Full Text: DOI arXiv
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. (English) Zbl 1237.15036 Linear Algebra Appl. 436, No. 10, 4027-4042 (2012). MSC: 15B57 PDFBibTeX XMLCite \textit{C. Mehl} et al., Linear Algebra Appl. 436, No. 10, 4027--4042 (2012; Zbl 1237.15036) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. (English) Zbl 1223.15015 Linear Algebra Appl. 435, No. 3, 687-716 (2011). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15A63 15A21 47A55 93B10 93B35 93C73 15B57 PDFBibTeX XMLCite \textit{C. Mehl} et al., Linear Algebra Appl. 435, No. 3, 687--716 (2011; Zbl 1223.15015) Full Text: DOI
Ran, André C. M.; Wojtylak, Michał The pair of operators \(T^{[*]}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms. (English) Zbl 1219.47057 Integral Equations Oper. Theory 68, No. 3, 313-335 (2010). Reviewer: Aleksey Kostenko (Donetsk) MSC: 47B50 47A20 15B57 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. Wojtylak}, Integral Equations Oper. Theory 68, No. 3, 313--335 (2010; Zbl 1219.47057) Full Text: DOI
Frazho, A. E.; Kaashoek, M. A.; Ran, A. C. M. The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. (English) Zbl 1210.47045 Integral Equations Oper. Theory 66, No. 2, 215-229 (2010). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A68 15A24 47B35 42A99 39A99 PDFBibTeX XMLCite \textit{A. E. Frazho} et al., Integral Equations Oper. Theory 66, No. 2, 215--229 (2010; Zbl 1210.47045) Full Text: DOI
Ran, Andre C. M.; Rodman, Leiba X. Ranges of Sylvester maps and a minimal rank problem. (English) Zbl 1191.15002 Electron. J. Linear Algebra 20, 126-135 (2010). Reviewer: Václav Burjan (Praha) MSC: 15A03 15A54 15A23 15A04 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. X. Rodman}, Electron. J. Linear Algebra 20, 126--135 (2010; Zbl 1191.15002) Full Text: DOI EuDML EMIS
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. A state space approach to canonical factorization with applications. (English) Zbl 1203.47001 Operator Theory: Advances and Applications 200. Linear Operators and Linear Systems. Basel: Birkhäuser (ISBN 978-3-7643-8752-5/hbk; 978-3-7643-8753-2/ebook). xii, 423 p. (2010). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47-02 47A48 47A56 47A68 47B35 26C15 15A21 15A24 30G30 47A62 90B35 93B28 PDFBibTeX XMLCite \textit{H. Bart} et al., A state space approach to canonical factorization with applications. Basel: Birkhäuser (2010; Zbl 1203.47001) Full Text: DOI
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices. (English) Zbl 1163.15030 Linear Multilinear Algebra 57, No. 2, 141-184 (2009). Reviewer: Erich W. Ellers (Toronto) MSC: 15B57 93C73 15A63 15A21 93B35 PDFBibTeX XMLCite \textit{C. Mehl} et al., Linear Multilinear Algebra 57, No. 2, 141--184 (2009; Zbl 1163.15030) Full Text: DOI
Ran, André C. M.; Rodman, Leiba On the index of conditional stability of stable invariant Lagrangian subspaces. (English) Zbl 1166.15016 SIAM J. Matrix Anal. Appl. 29, No. 4, 1181-1190 (2008). Reviewer: George F. Nassopoulos (Athens) MSC: 15A63 47A15 47A55 15B57 15A03 15A60 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, SIAM J. Matrix Anal. Appl. 29, No. 4, 1181--1190 (2008; Zbl 1166.15016) Full Text: DOI
Bart, Harm (ed.); Brandts, Jan (ed.); Van Dooren, Paul (ed.); Ran, André (ed.) Special issue devoted to selected papers at the 13th conference of the International Linear Algebra Society (ILAS), Amsterdam, Netherlands, July 18–21, 2006. (English) Zbl 1143.15300 Linear Algebra Appl. 429, No. 5-6, 949-1385 (2008). MSC: 15-06 00B25 PDFBibTeX XML
Bart, Harm; Gohberg, Israel; Kaashoek, Marinus A.; Ran, André C. M. Factorization of matrix and operator functions. The state space method. (English) Zbl 1149.47001 Operator Theory: Advances and Applications 178. Basel: Birkhäuser (ISBN 978-3-7643-8267-4/hbk). xii, 409 p. (2008). Reviewer: Dmitry Kaliuzhnyi-Verbovetskyi (Philadelphia) MSC: 47-02 47A48 47A68 47B35 26C15 15A21 15A24 30G30 47A62 90B35 93B28 PDFBibTeX XMLCite \textit{H. Bart} et al., Factorization of matrix and operator functions. The state space method. Basel: Birkhäuser (2008; Zbl 1149.47001)
Kes, Jan S.; Ran, André C. M. On the relation between \(XX^{[*]}\) and \(X^{[*]}X\) in an indefinite inner product space. (English) Zbl 1154.47032 Oper. Matrices 1, No. 2, 181-197 (2007). Reviewer: Carsten Trunk (Ilmenau) MSC: 47B50 15A21 PDFBibTeX XMLCite \textit{J. S. Kes} and \textit{A. C. M. Ran}, Oper. Matrices 1, No. 2, 181--197 (2007; Zbl 1154.47032) Full Text: DOI
Fourie, J. H.; Groenewald, G. J.; Ran, A. C. M. Positive real matrices in indefinite inner product spaces and invariant maximal semidefinite subspaces. (English) Zbl 1120.15024 Linear Algebra Appl. 424, No. 2-3, 346-370 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15B48 47B50 PDFBibTeX XMLCite \textit{J. H. Fourie} et al., Linear Algebra Appl. 424, No. 2--3, 346--370 (2007; Zbl 1120.15024) Full Text: DOI
Mehl, Christian; Ran, André C. M.; Rodman, Leiba Extension to maximal semidefinite invariant subspaces for hyponormal matrices in indefinite inner products. (English) Zbl 1111.15026 Linear Algebra Appl. 421, No. 1, 110-116 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15B57 PDFBibTeX XMLCite \textit{C. Mehl} et al., Linear Algebra Appl. 421, No. 1, 110--116 (2007; Zbl 1111.15026) Full Text: DOI
Alpay, D.; Ran, A. C. M.; Rodman, L. Basic classes of matrices with respect to quaternionic indefinite inner product spaces. (English) Zbl 1102.15014 Linear Algebra Appl. 416, No. 2-3, 242-269 (2006). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15B33 15A04 15A63 PDFBibTeX XMLCite \textit{D. Alpay} et al., Linear Algebra Appl. 416, No. 2--3, 242--269 (2006; Zbl 1102.15014) Full Text: DOI
Mehl, Christian; Ran, André C. M.; Rodman, Leiba Polar decompositions of normal operators in indefinite inner product spaces. (English) Zbl 1108.47034 Förster, Karl-Heinz (ed.) et al., Operator theory in Krein spaces and nonlinear eigenvalue problems. Selected papers of the 3rd workshop, TU Berlin, Germany, December 12–14, 2003. Basel: Birkhäuser (ISBN 3-7643-7452-7/hbk). Operator Theory: Advances and Applications 162, 277-292 (2006). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 46C20 15A23 PDFBibTeX XMLCite \textit{C. Mehl} et al., Oper. Theory: Adv. Appl. 162, 277--292 (2006; Zbl 1108.47034)
Bart, H.; Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. Schur complements and state space realizations. (English) Zbl 1083.47016 Linear Algebra Appl. 399, 203-224 (2005). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 47A64 47A20 47A56 47A68 15A23 PDFBibTeX XMLCite \textit{H. Bart} et al., Linear Algebra Appl. 399, 203--224 (2005; Zbl 1083.47016) Full Text: DOI
Groenewald, G. J.; Petersen, M. A.; Ran, A. C. M. Characterization of integral operators with semi-separable kernels with symmetries. (English) Zbl 1080.47039 J. Funct. Anal. 219, No. 2, 255-284 (2005). Reviewer: Lechoslaw Hącia (Poznań) MSC: 47G10 47A68 47A56 15A24 47B65 47B44 PDFBibTeX XMLCite \textit{G. J. Groenewald} et al., J. Funct. Anal. 219, No. 2, 255--284 (2005; Zbl 1080.47039) Full Text: DOI
Mehl, Christian; Ran, André C. M.; Rodman, Leiba Semidefinite invariant subspaces: degenerate inner products. (English) Zbl 1066.15024 Ball, Joseph A. (ed.) et al., Current trends in operator theory and its applications. Proceedings of the international workshop on operator theory and its applications (IWOTA), Virginia Tech, Blacksburg, VA, USA, August 6–9, 2002. Basel: Birkhäuser (ISBN 3-7643-7067-X/hbk). Operator Theory: Advances and Applications 149, 467-486 (2004). MSC: 15B57 15A63 15A03 PDFBibTeX XMLCite \textit{C. Mehl} et al., Oper. Theory: Adv. Appl. 149, 467--486 (2004; Zbl 1066.15024)
Mehl, Christian; Ran, André C. M.; Rodman, Leiba Hyponormal matrices and semidefinite invariant subspaces in indefinite inner products. (English) Zbl 1066.15030 Electron. J. Linear Algebra 11, 192-204 (2004). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15B57 PDFBibTeX XMLCite \textit{C. Mehl} et al., Electron. J. Linear Algebra 11, 192--204 (2004; Zbl 1066.15030) Full Text: DOI EuDML EMIS
Ran, André C. M.; Reurings, Martine C. B. A nonlinear matrix equation connected to interpolation theory. (English) Zbl 1039.15007 Linear Algebra Appl. 379, 289-302 (2004). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 41A05 47A57 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. C. B. Reurings}, Linear Algebra Appl. 379, 289--302 (2004; Zbl 1039.15007) Full Text: DOI
Lerer, L.; Petersen, M. A.; Ran, A. C. M. Existence of minimal nonsquare \(J\)-symmetric factorizations for self-adjoint rational matrix functions. (English) Zbl 1059.47012 Linear Algebra Appl. 379, 159-178 (2004). Reviewer: Leiba Rodman (Williamsburg) MSC: 47A56 15A24 47A68 PDFBibTeX XMLCite \textit{L. Lerer} et al., Linear Algebra Appl. 379, 159--178 (2004; Zbl 1059.47012) Full Text: DOI
Ran, André C. M.; Reurings, Martine C. B. A fixed point theorem in partially ordered sets and some applications to matrix equations. (English) Zbl 1060.47056 Proc. Am. Math. Soc. 132, No. 5, 1435-1443 (2004). Reviewer: Ulrich Kosel (Freiberg) MSC: 47H10 15A24 54H25 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. C. B. Reurings}, Proc. Am. Math. Soc. 132, No. 5, 1435--1443 (2004; Zbl 1060.47056) Full Text: DOI
Lerer, Leonid; Ran, André C. M. A new inertia theorem for Stein equations, inertia of invertible Hermitian block Toeplitz matrices and matrix orthogonal polynomials. (English) Zbl 1035.15016 Integral Equations Oper. Theory 47, No. 3, 339-360 (2003). Reviewer: Václav Burjan (Praha) MSC: 15A24 15A54 PDFBibTeX XMLCite \textit{L. Lerer} and \textit{A. C. M. Ran}, Integral Equations Oper. Theory 47, No. 3, 339--360 (2003; Zbl 1035.15016) Full Text: DOI
Petersen, Mark A.; Ran, André C. M. Minimal nonsquare \(J\)-spectral factorization, generalized Bezoutians and common zeros for rational matrix functions. (English) Zbl 1059.47013 Integral Equations Oper. Theory 47, No. 2, 197-216 (2003). Reviewer: Leiba Rodman (Williamsburg) MSC: 47A56 15A24 47A68 PDFBibTeX XMLCite \textit{M. A. Petersen} and \textit{A. C. M. Ran}, Integral Equations Oper. Theory 47, No. 2, 197--216 (2003; Zbl 1059.47013) Full Text: DOI
Ran, André C. M.; Rodman, Leiba A class of robustness problems in matrix analysis. (English) Zbl 1029.15005 Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 134, 337-383 (2002). MSC: 15A18 15A42 34A30 65F05 15A63 15A24 15A23 53B35 65F20 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, in: Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser. 337--383 (2002; Zbl 1029.15005) Full Text: DOI
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\). (English) Zbl 1045.47034 Integral Equations Oper. Theory 44, No. 1, 50-70 (2002). Reviewer: Trandafir Balan (Craiova) MSC: 47B50 46C20 15A63 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., Integral Equations Oper. Theory 44, No. 1, 50--70 (2002; Zbl 1045.47034) Full Text: DOI
Petersen, M. A.; Ran, A. C. M. Nonsquare spectral factors via factorizations of a unitary function. (English) Zbl 1020.47018 Linear Algebra Appl. 351-352, 567-583 (2002). MSC: 47A68 15A24 47A56 PDFBibTeX XMLCite \textit{M. A. Petersen} and \textit{A. C. M. Ran}, Linear Algebra Appl. 351--352, 567--583 (2002; Zbl 1020.47018) Full Text: DOI
Petersen, M. A.; Ran, A. C. M. Minimal nonsquare spectral factors. (English) Zbl 1020.47017 Linear Algebra Appl. 351-352, 553-565 (2002). MSC: 47A68 15A24 47A56 PDFBibTeX XMLCite \textit{M. A. Petersen} and \textit{A. C. M. Ran}, Linear Algebra Appl. 351--352, 553--565 (2002; Zbl 1020.47017) Full Text: DOI
Ran, André C. M.; Reurings, Martine C. B. On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory. (English) Zbl 1086.15013 Linear Algebra Appl. 346, No. 1-3, 15-26 (2002). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. C. B. Reurings}, Linear Algebra Appl. 346, No. 1--3, 15--26 (2002; Zbl 1086.15013) Full Text: DOI
Ran, André C. M.; Reurings, Martine C. B. The symmetric linear matrix equation. (English) Zbl 1002.15015 Electron. J. Linear Algebra 9, 93-107 (2002). Reviewer: Kim Hang Kim (Montgomery) MSC: 15A24 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{M. C. B. Reurings}, Electron. J. Linear Algebra 9, 93--107 (2002; Zbl 1002.15015) Full Text: DOI EuDML EMIS
El-Sayed, Salah M.; Ran, André C. M. On an iteration method for solving a class of nonlinear matrix equations. (English) Zbl 1002.65061 SIAM J. Matrix Anal. Appl. 23, No. 3, 632-645 (2002). Reviewer: A.Meister (Hamburg) MSC: 65H10 15A24 65F30 PDFBibTeX XMLCite \textit{S. M. El-Sayed} and \textit{A. C. M. Ran}, SIAM J. Matrix Anal. Appl. 23, No. 3, 632--645 (2001; Zbl 1002.65061) Full Text: DOI
Karelin, I.; Lerer, L.; Ran, A. C. M. \(J\)-symmetric factorizations and algebraic Riccati equations. (English) Zbl 0994.47021 Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 319-360 (2001). MSC: 47A68 47A56 15A24 47B50 49N05 93B36 PDFBibTeX XMLCite \textit{I. Karelin} et al., in: Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30--July 3, 1998. Basel: Birkhäuser. 319--360 (2001; Zbl 0994.47021)
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba Real Hamiltonian polar decompositions. (English) Zbl 0982.15012 SIAM J. Matrix Anal. Appl. 22, No. 4, 1263-1273 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A23 15B57 47B50 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., SIAM J. Matrix Anal. Appl. 22, No. 4, 1263--1273 (2001; Zbl 0982.15012) Full Text: DOI
Petersen, M. A.; Ran, A. C. M. Minimal square spectral factors via triples. (English) Zbl 0994.47022 SIAM J. Matrix Anal. Appl. 22, No. 4, 1222-1244 (2001). Reviewer: Lasha Ephremidze (Praha) MSC: 47A68 47A56 15A24 PDFBibTeX XMLCite \textit{M. A. Petersen} and \textit{A. C. M. Ran}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1222--1244 (2001; Zbl 0994.47022) Full Text: DOI
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba Stability of polar decompositions. (English) Zbl 0963.15012 Glas. Mat., III. Ser. 35, No. 1, 137-148 (2000). Reviewer: Jitka Drkošova (Praha) MSC: 15A23 15A24 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., Glas. Mat., III. Ser. 35, No. 1, 137--148 (2000; Zbl 0963.15012)
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, Leiba Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces. (English) Zbl 0954.15008 Linear Algebra Appl. 302-303, 77-104 (1999). Reviewer: M.E.Keating (London) MSC: 15A23 15A63 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., Linear Algebra Appl. 302--303, 77--104 (1999; Zbl 0954.15008) Full Text: DOI
van der Mee, Cornelis V. M.; Ran, André C. M.; Rodman, L. Classes of plus matrices in finite dimensional indefinite scalar product spaces. (English) Zbl 0911.47030 Integral Equations Oper. Theory 30, No. 4, 432-451 (1998). MSC: 47B50 15A21 PDFBibTeX XMLCite \textit{C. V. M. van der Mee} et al., Integral Equations Oper. Theory 30, No. 4, 432--451 (1998; Zbl 0911.47030) Full Text: DOI
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba Errata for: Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. (English) Zbl 0897.15005 Integral Equations Oper. Theory 27, No. 4, 497-501 (1997). Reviewer: J.Zemánek (Warszawa) MSC: 15A23 15A63 PDFBibTeX XMLCite \textit{Y. Bolshakov} et al., Integral Equations Oper. Theory 27, No. 4, 497--501 (1997; Zbl 0897.15005) Full Text: DOI
Lerer, L.; Ran, A. C. M. \(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials. (English) Zbl 0896.47015 Integral Equations Oper. Theory 29, No. 1, 23-51 (1997). MSC: 47A68 47A56 15A24 47B50 PDFBibTeX XMLCite \textit{L. Lerer} and \textit{A. C. M. Ran}, Integral Equations Oper. Theory 29, No. 1, 23--51 (1997; Zbl 0896.47015) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Rate of stability of solutions of matrix polynomial and quadratic equations. (English) Zbl 0901.15007 Integral Equations Oper. Theory 27, No. 1, 71-102 (1997). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A24 15A22 47B50 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, Integral Equations Oper. Theory 27, No. 1, 71--102 (1997; Zbl 0901.15007) Full Text: DOI
Langer, H.; Ran, A. C. M.; Temme, D. Nonnegative solutions of algebraic Riccati equations. (English) Zbl 0881.15017 Linear Algebra Appl. 261, 317-352 (1997). Reviewer: M.Voicu (Iaşi) MSC: 15A24 93B05 93D15 PDFBibTeX XMLCite \textit{H. Langer} et al., Linear Algebra Appl. 261, 317--352 (1997; Zbl 0881.15017) Full Text: DOI
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba Polar decompositions in finite dimensional indefinite scalar product spaces: General theory. (English) Zbl 0881.15013 Linear Algebra Appl. 261, 91-141 (1997). Reviewer: K.Burian (Havířov) MSC: 15A23 15A63 PDFBibTeX XMLCite \textit{Y. Bolshakov} et al., Linear Algebra Appl. 261, 91--141 (1997; Zbl 0881.15013) Full Text: DOI
Ran, André; Zizler, Peter On self-adjoint matrix polynomials with constant signature. (English) Zbl 0882.15021 Linear Algebra Appl. 259, 133-153 (1997). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A54 15A23 PDFBibTeX XMLCite \textit{A. Ran} and \textit{P. Zizler}, Linear Algebra Appl. 259, 133--153 (1997; Zbl 0882.15021) Full Text: DOI
Bolshakov, Yuri; van der Mee, Cornelis V. M.; Ran, André C. M.; Reichstein, Boris; Rodman, Leiba Extension of isometries in finite-dimensional indefinite scalar product spaces and polar decompositions. (English) Zbl 0874.15022 SIAM J. Matrix Anal. Appl. 18, No. 3, 752-774 (1997). MSC: 15A63 15A23 15A24 PDFBibTeX XMLCite \textit{Y. Bolshakov} et al., SIAM J. Matrix Anal. Appl. 18, No. 3, 752--774 (1997; Zbl 0874.15022) Full Text: DOI
Bolshakov, Y.; van der Mee, Cornelis V. M.; Ran, A. C. M.; Reichstein, B.; Rodman, Leiba Polar decompositions in finite dimensional indefinite scalar product spaces: Special cases and applications. (English) Zbl 0861.15012 Gohberg, I. (ed.) et al., Recent developments in operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 2-6, 1994. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 87, 61-94 (1996). Reviewer: J.Zemánek (Warszawa) MSC: 15A23 15A63 46C20 78A05 PDFBibTeX XMLCite \textit{Y. Bolshakov} et al., in: Recent developments in operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 2-6, 1994. Basel: Birkhäuser. 61--94 (1996; Zbl 0861.15012)
Bart, H.; Kaashoek, M. A.; Ran, A. C. M. Conference report: Fourth Conference of the International Linear Algebra Society, Rotterdam, The Netherlands, August 15–19, 1994. (English) Zbl 0855.15001 Linear Algebra Appl. 241-243, 897-900 (1996). MSC: 15-06 47-06 PDFBibTeX XMLCite \textit{H. Bart} et al., Linear Algebra Appl. 241--243, 897--900 (1996; Zbl 0855.15001) Full Text: DOI
Bart, Harm (ed.); Elsner, Ludwig F. (ed.); Ran, André C. M. (ed.) Proceedings of the 4th conference of the International Linear Algebra Society (ILAS), Rotterdam, Netherlands, August 15–19, 1994. (English) Zbl 0853.00034 Linear Algebra Appl. 241-243, 902 p. (1996). MSC: 00B25 15-06 PDFBibTeX XML Full Text: Link
Ran, André C. M. Minimal square spectral factors. (English) Zbl 0877.93027 Syst. Control Lett. 24, No. 5, 307-316 (1995). MSC: 93B25 15A23 PDFBibTeX XMLCite \textit{A. C. M. Ran}, Syst. Control Lett. 24, No. 5, 307--316 (1995; Zbl 0877.93027) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Rate of stability of Hermitian solutions of algebraic Riccati equations. (English) Zbl 0816.15014 Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 3-6 (1994). Reviewer: Y.Kuo (Knoxville) MSC: 15A24 93C55 93D05 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, in: Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 3--6 (1994; Zbl 0816.15014)
Ran, A. C. M.; Temme, D. Dissipative matrices and invariant maximal semidefinite subspaces. (English) Zbl 0813.15023 Linear Algebra Appl. 212-213, 169-214 (1994). Reviewer: S.Sridhar (Madras) MSC: 15A60 15A63 15A18 46C20 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{D. Temme}, Linear Algebra Appl. 212--213, 169--214 (1994; Zbl 0813.15023) Full Text: DOI
Ran, André C. M.; Rodman, Leiba The rate of convergence of real invariant subspaces. (English) Zbl 0805.65044 Linear Algebra Appl. 207, 197-224 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65F30 47A55 15A60 15A18 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, Linear Algebra Appl. 207, 197--224 (1994; Zbl 0805.65044) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Factorization of matrix polynomials with symmetries. (English) Zbl 0810.15005 SIAM J. Matrix Anal. Appl. 15, No. 3, 845-864 (1994). Reviewer: M.-Y.Wu (Boulder) MSC: 15A23 15A54 93E11 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, SIAM J. Matrix Anal. Appl. 15, No. 3, 845--864 (1994; Zbl 0810.15005) Full Text: DOI
Ran, André C. M.; Rodman, Leiba; Rubin, Arthur L. Stability index of invariant subspaces of matrices. (English) Zbl 0798.15006 Linear Multilinear Algebra 36, No. 1, 27-39 (1993). Reviewer: E.Kreyszig (Ottawa) MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{A. C. M. Ran} et al., Linear Multilinear Algebra 36, No. 1, 27--39 (1993; Zbl 0798.15006) Full Text: DOI
Gohberg, I.; Ran, A. C. M. On pseudo-canonical factorization of rational matrix functions. (English) Zbl 0780.15008 Indag. Math., New Ser. 4, No. 1, 51-63 (1993). Reviewer: M.Voicu (Iaşi) MSC: 15A23 15A54 93B15 PDFBibTeX XMLCite \textit{I. Gohberg} and \textit{A. C. M. Ran}, Indag. Math., New Ser. 4, No. 1, 51--63 (1993; Zbl 0780.15008) Full Text: DOI
Kaashoek, M. A.; Ran, André C. M.; Rodman, Leiba Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors. (English) Zbl 0792.47016 Integral Equations Oper. Theory 16, No. 1, 98-130 (1993). Reviewer: G.P.A.Thijsse (Rotterdam) MSC: 47A68 47A56 15A54 93B99 PDFBibTeX XMLCite \textit{M. A. Kaashoek} et al., Integral Equations Oper. Theory 16, No. 1, 98--130 (1993; Zbl 0792.47016) Full Text: DOI
Engwerda, Jacob C.; Ran, André C. M.; Rijkeboer, Arie L. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\). (English) Zbl 0778.15008 Linear Algebra Appl. 186, 255-275 (1993). Reviewer: L.Bakule (Praha) MSC: 15A24 15A23 93C55 PDFBibTeX XMLCite \textit{J. C. Engwerda} et al., Linear Algebra Appl. 186, 255--275 (1993; Zbl 0778.15008) Full Text: DOI
Ran, André C. M.; Rodman, Leiba; Rubin, Jonathan E. Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions. (English) Zbl 0780.15009 Linear Algebra Appl. 180, 61-94 (1993). Reviewer: M.Voicu (Iaşi) MSC: 15A23 15A54 15A24 93B15 PDFBibTeX XMLCite \textit{A. C. M. Ran} et al., Linear Algebra Appl. 180, 61--94 (1993; Zbl 0780.15009) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Laurent interpolation for rational matrix functions and a local factorization principle. (English) Zbl 0747.30026 J. Math. Anal. Appl. 164, No. 2, 524-541 (1992). Reviewer: W.Bergweiler (Aachen) MSC: 30E05 15A23 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, J. Math. Anal. Appl. 164, No. 2, 524--541 (1992; Zbl 0747.30026) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Stable solutions of real algebraic matrix Riccati equations. (English) Zbl 0754.15010 SIAM J. Control Optimization 30, No. 1, 63-81 (1992). Reviewer: I.Troch (Wien) MSC: 15A24 93C35 93D09 93B05 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, SIAM J. Control Optim. 30, No. 1, 63--81 (1992; Zbl 0754.15010) Full Text: DOI
Ran, A. C. M. Unitary solutions of a class of algebraic Riccati equations and factorization. (English) Zbl 0747.15003 Linear Algebra Appl. 162-164, 521-540 (1992). Reviewer: S.L.Campbell (Raleigh) MSC: 15A24 15A23 PDFBibTeX XMLCite \textit{A. C. M. Ran}, Linear Algebra Appl. 162--164, 521--540 (1992; Zbl 0747.15003) Full Text: DOI
Ran, André C. M.; Rodman, Leiba On symmetric factorizations of rational matrix functions. (English) Zbl 0731.15018 Linear Multilinear Algebra 29, No. 3-4, 243-261 (1991). Reviewer: E.Kreyszig (Ottawa) MSC: 15A54 15A23 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, Linear Multilinear Algebra 29, No. 3--4, 243--261 (1991; Zbl 0731.15018) Full Text: DOI
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. Matrix polynomials with prescribed zero structure in the finite complex plane. (English) Zbl 0736.15010 Topics in matrix and operator theory, Proc. Workshop, Rotterdam/Neth. 1989, Oper. Theory, Adv. Appl. 50, 241-266 (1991). Reviewer: M.Voicu (Iaşi) MSC: 15A54 93B52 93B05 PDFBibTeX XMLCite \textit{I. Gohberg} et al., in: Wiener-Hopf factorization in the inverse scattering theory for the \(n\)-D Schrödinger equation. . 241--266 (1991; Zbl 0736.15010)
Kaashoek, M. A. (ed.); van Schuppen, J. H. (ed.); Ran, A. C. M. (ed.) Signal processing, scattering and operator theory, and numerical methods. Proceedings of the international symposium on the mathematical theory of networks and systems, MTNS-89, held in Amsterdam, Netherlands, June 19- 23, 1989. Volume III. (English) Zbl 0712.00016 Progress in Systems and Control Theory, 5. Boston, MA etc.: Birkhäuser. xxi, 566 p. sFr. 138.00; DM 158.00; sFr. 349.00/3 vol. set; DM 409.00/3 vol. set (1990). MSC: 00B25 15-06 47-06 65-06 93-06 94-06 PDFBibTeX XML
Gohberg, I.; Kaashoek, M. A.; Ran, A. C. M. Regular rational matrix functions with prescribed null and pole data except at infinity. (English) Zbl 0721.15015 Linear Algebra Appl. 137-138, 387-412 (1990). MSC: 15A54 93B25 93B55 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Linear Algebra Appl. 137--138, 387--412 (1990; Zbl 0721.15015) Full Text: DOI
Ran, André C. M.; Rodman, Leiba Stable invariant Lagrangian subspaces: Factorization of symmetric rational matrix functions and other applications. (English) Zbl 0706.15029 Linear Algebra Appl. 137-138, 575-620 (1990). Reviewer: J.D.Dixon MSC: 15A60 47A15 15A54 15A23 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, Linear Algebra Appl. 137--138, 575--620 (1990; Zbl 0706.15029) Full Text: DOI
Ran, André C. M.; Rodman, Leiba On stability of invariant subspaces of matrices. (English) Zbl 0736.15014 Am. Math. Mon. 97, No. 9, 809-823 (1990). Reviewer: S.L.Campbell (Raleigh) MSC: 15A60 15A18 47A15 PDFBibTeX XMLCite \textit{A. C. M. Ran} and \textit{L. Rodman}, Am. Math. Mon. 97, No. 9, 809--823 (1990; Zbl 0736.15014) Full Text: DOI