Lancaster, Peter; Zaballa, Ion Spectral theory for self-adjoint quadratic eigenvalue problems – a review. (English) Zbl 1465.15017 Electron. J. Linear Algebra 37, 211-246 (2021). MSC: 15A22 15A21 15B57 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{I. Zaballa}, Electron. J. Linear Algebra 37, 211--246 (2021; Zbl 1465.15017) Full Text: Link
Monfared, Keivan Hassani; Lancaster, Peter Inverse Spectral Problems for Linked Vibrating Systems and Structured Matrix Polynomials. arXiv:1710.11203 Preprint, arXiv:1710.11203 [math.SP] (2017). MSC: 05C50 15A18 15A29 65F10 65F18 BibTeX Cite \textit{K. H. Monfared} and \textit{P. Lancaster}, ``Inverse Spectral Problems for Linked Vibrating Systems and Structured Matrix Polynomials'', Preprint, arXiv:1710.11203 [math.SP] (2017) Full Text: arXiv OA License
Çolakoğlu, Nurhan; Lancaster, Peter Spectral properties of finite-dimensional waveguide systems. (English) Zbl 1331.47020 Electron. J. Linear Algebra 30, 670-692 (2015). MSC: 47A56 15A22 78M10 PDFBibTeX XMLCite \textit{N. Çolakoğlu} and \textit{P. Lancaster}, Electron. J. Linear Algebra 30, 670--692 (2015; Zbl 1331.47020) Full Text: DOI
Chorianopoulos, Christos; Lancaster, Peter An inverse problem for gyroscopic systems. (English) Zbl 1315.47013 Linear Algebra Appl. 465, 188-203 (2015). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 47A56 15A29 70E55 PDFBibTeX XMLCite \textit{C. Chorianopoulos} and \textit{P. Lancaster}, Linear Algebra Appl. 465, 188--203 (2015; Zbl 1315.47013) Full Text: DOI
Lancaster, Peter; Zaballa, Ion On the inverse symmetric quadratic eigenvalue problem. (English) Zbl 1320.47007 SIAM J. Matrix Anal. Appl. 35, No. 1, 254-278 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A56 65F18 15A22 39A99 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{I. Zaballa}, SIAM J. Matrix Anal. Appl. 35, No. 1, 254--278 (2014; Zbl 1320.47007) Full Text: DOI Link
Lancaster, Peter Stability of linear gyroscopic systems: a review. (English) Zbl 1356.70007 Linear Algebra Appl. 439, No. 3, 686-706 (2013). MSC: 70E05 70K20 34D20 47A56 15A22 PDFBibTeX XMLCite \textit{P. Lancaster}, Linear Algebra Appl. 439, No. 3, 686--706 (2013; Zbl 1356.70007) Full Text: DOI
Lancaster, Peter; Zaballa, Ion On the sign characteristics of selfadjoint matrix polynomials. (English) Zbl 1282.15011 Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 189-196 (2013). MSC: 15A21 47B15 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{I. Zaballa}, Oper. Theory: Adv. Appl. 237, 189--196 (2013; Zbl 1282.15011) Full Text: DOI
Lancaster, Peter; Prells, Uwe; Zaballa, Ion An orthogonality property for real symmetric matrix polynomials with application to the inverse problem. (English) Zbl 1327.47008 Oper. Matrices 7, No. 2, 357-379 (2013). MSC: 47A56 15A22 39A99 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Oper. Matrices 7, No. 2, 357--379 (2013; Zbl 1327.47008) Full Text: DOI Link
Garvey, S. D.; Lancaster, P.; Popov, A. A.; Prells, U.; Zaballa, I. Filters connecting isospectral quadratic systems. (English) Zbl 1287.15006 Linear Algebra Appl. 438, No. 4, 1497-1516 (2013). Reviewer: Frank Uhlig (Auburn) MSC: 15A54 93C10 93B11 15A86 PDFBibTeX XMLCite \textit{S. D. Garvey} et al., Linear Algebra Appl. 438, No. 4, 1497--1516 (2013; Zbl 1287.15006) Full Text: DOI
Chorianopoulos, C.; Lancaster, P. Inverse problems for Hermitian quadratic matrix polynomials. (English) Zbl 1261.15019 Indag. Math., New Ser. 23, No. 4, 1070-1086 (2012). Reviewer: João R. Cardoso (Coimbra) MSC: 15A29 15A54 15A18 65F18 15B57 PDFBibTeX XMLCite \textit{C. Chorianopoulos} and \textit{P. Lancaster}, Indag. Math., New Ser. 23, No. 4, 1070--1086 (2012; Zbl 1261.15019) Full Text: DOI
Lancaster, Peter; Zaballa, Ion A review of canonical forms for selfadjoint matrix polynomials. (English) Zbl 1252.15011 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, 425-443 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 15A54 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{I. Zaballa}, Oper. Theory: Adv. Appl. 218, 425--443 (2012; Zbl 1252.15011) Full Text: DOI
Lancaster, Peter; Zaballa, Ion Parametrizing structure preserving transformations of matrix polynomials. (English) Zbl 1252.15010 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, 403-424 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 15A54 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{I. Zaballa}, Oper. Theory: Adv. Appl. 218, 403--424 (2012; Zbl 1252.15010) Full Text: DOI
Lancaster, Peter; Tisseur, Françoise Hermitian quadratic matrix polynomials: solvents and inverse problems. (English) Zbl 1260.15037 Linear Algebra Appl. 436, No. 10, 4017-4026 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 15A54 15A29 15A18 70J50 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{F. Tisseur}, Linear Algebra Appl. 436, No. 10, 4017--4026 (2012; Zbl 1260.15037) Full Text: DOI
Boulton, Lyonell; Lancaster, Peter Schur decompositions of a matrix and the boundary of its pseudospectrum. (English) Zbl 1209.15014 SIAM J. Matrix Anal. Appl. 31, No. 5, 2921-2933 (2010). MSC: 15A18 15A60 65F35 PDFBibTeX XMLCite \textit{L. Boulton} and \textit{P. Lancaster}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2921--2933 (2010; Zbl 1209.15014) Full Text: DOI arXiv
Bart, Harm; Dym, Harry; Kaashoek, Rien; Lancaster, Peter; Markus, Alexander; Rodman, Leiba In memoriam Israel Gohberg August 23, 1928-October 12, 2009. (English) Zbl 1191.01021 Linear Algebra Appl. 433, No. 5, 877-892 (2010). MSC: 01A65 01A70 01A74 15-03 45-03 46-03 47-03 65-03 93-03 PDFBibTeX XMLCite \textit{H. Bart} et al., Linear Algebra Appl. 433, No. 5, 877--892 (2010; Zbl 1191.01021) Full Text: DOI
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Matrix polynomials. Reprint of the 1982 original. (English) Zbl 1170.15300 Classics in Applied Mathematics 58. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-81-8/pbk; 978-0-89871-902-4/ebook). xxiv, 409 p. (2009). MSC: 15-02 15A21 15A18 15A60 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Matrix polynomials. Reprint of the 1982 original. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2009; Zbl 1170.15300) Full Text: DOI
Amiraslani, A.; Lancaster, P. Rayleigh quotient algorithms for nonsymmetric matrix pencils. (English) Zbl 1181.65050 Numer. Algorithms 51, No. 1, 5-22 (2009). Reviewer: J. B. Butler jun. (Portland) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{A. Amiraslani} and \textit{P. Lancaster}, Numer. Algorithms 51, No. 1, 5--22 (2009; Zbl 1181.65050) Full Text: DOI
Amiraslani, A.; Corless, R. M.; Lancaster, P. Linearization of matrix polynomials expressed in polynomial bases. (English) Zbl 1158.15022 IMA J. Numer. Anal. 29, No. 1, 141-157 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A54 PDFBibTeX XMLCite \textit{A. Amiraslani} et al., IMA J. Numer. Anal. 29, No. 1, 141--157 (2009; Zbl 1158.15022) Full Text: DOI Link
Lancaster, Peter Linearization of regular matrix polynomials. (English) Zbl 1147.15009 Electron. J. Linear Algebra 17, 21-27 (2008). Reviewer: Edgar Pereira (Covilha) MSC: 15A22 15A24 47A56 PDFBibTeX XMLCite \textit{P. Lancaster}, Electron. J. Linear Algebra 17, 21--27 (2008; Zbl 1147.15009) Full Text: DOI EuDML Link Link
Lancaster, Peter Model-updating for self-adjoint quadratic eigenvalue problems. (English) Zbl 1145.15012 Linear Algebra Appl. 428, No. 11-12, 2778-2790 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 65F18 15B57 15A29 PDFBibTeX XMLCite \textit{P. Lancaster}, Linear Algebra Appl. 428, No. 11--12, 2778--2790 (2008; Zbl 1145.15012) Full Text: DOI
Boulton, Lyonell; Lancaster, Peter; Psarrakos, Panayiotis On pseudospectra of matrix polynomials and their boundaries. (English) Zbl 1141.65026 Math. Comput. 77, No. 261, 313-334 (2008). Reviewer: Keehwan Kim (Kyongsan) MSC: 65F15 65F35 93D09 15A54 15A18 PDFBibTeX XMLCite \textit{L. Boulton} et al., Math. Comput. 77, No. 261, 313--334 (2008; Zbl 1141.65026) Full Text: DOI arXiv
Lancaster, Peter Inverse spectral problems for semisimple damped vibrating systems. (English) Zbl 1132.74017 SIAM J. Matrix Anal. Appl. 29, No. 1, 279-301 (2007). MSC: 74H45 70J10 15A29 PDFBibTeX XMLCite \textit{P. Lancaster}, SIAM J. Matrix Anal. Appl. 29, No. 1, 279--301 (2007; Zbl 1132.74017) Full Text: DOI
Lancaster, Peter; Prells, Uwe; Rodman, Leiba Canonical structures for palindromic matrix polynomials. (English) Zbl 1144.47011 Oper. Matrices 1, No. 4, 469-489 (2007). Reviewer: Paşc Găvruţă (Timişoara) MSC: 47A56 15A22 39A99 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Oper. Matrices 1, No. 4, 469--489 (2007; Zbl 1144.47011) Full Text: DOI
Lancaster, Peter; Prells, Uwe Isospectral families of high-order systems. (English) Zbl 1114.15005 ZAMM, Z. Angew. Math. Mech. 87, No. 3, 219-234 (2007). MSC: 15A04 15A54 15A29 15A21 15B57 74H45 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{U. Prells}, ZAMM, Z. Angew. Math. Mech. 87, No. 3, 219--234 (2007; Zbl 1114.15005) Full Text: DOI
Prells, Uwe; Lancaster, Peter Isospectral vibrating systems. II: Structure preserving transformations. (English) Zbl 1095.15017 Langer, Matthias (ed.) et al., Operator theory and indefinite inner product spaces. Presented on the occasion of the retirement of Heinz Langer in the colloquium on operator theory, Vienna, March 2004. Basel: Birkhäuser (ISBN 3-7643-7515-9/hbk). Operator Theory: Advances and Applications 163, 275-298 (2006). MSC: 15A29 15A18 15A21 74H45 15A22 PDFBibTeX XMLCite \textit{U. Prells} and \textit{P. Lancaster}, Oper. Theory: Adv. Appl. 163, 275--298 (2006; Zbl 1095.15017)
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Invariant subspaces of matrics with applications. Reprint of the 1986 original. (English) Zbl 1093.15502 Classics in Applied Mathematics 51. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-608-X/pbk; 978-0-89871-909-3/ebook). xxi, 692 p. (2006). MSC: 15A18 15-02 15A21 15A22 15A60 15A30 15A23 15A42 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Invariant subspaces of matrics with applications. Reprint of the 1986 original. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2006; Zbl 1093.15502) Full Text: DOI
Lancaster, P.; Prells, U. Inverse problems for damped vibrating systems. (English) Zbl 1237.70059 J. Sound Vib. 283, No. 3-5, 891-914 (2005). MSC: 70J99 70F17 70F40 15A18 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{U. Prells}, J. Sound Vib. 283, No. 3--5, 891--914 (2005; Zbl 1237.70059) Full Text: DOI
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Indefinite linear algebra and applications. (English) Zbl 1084.15005 Basel: Birkhäuser (ISBN 3-7643-7349-0/pbk). xii, 357 p. (2005). Reviewer: John D. Dixon (Ottawa) MSC: 15-02 46C20 15B57 34D10 39A11 34A30 39A10 15A63 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Indefinite linear algebra and applications. Basel: Birkhäuser (2005; Zbl 1084.15005) Backlinks: MO
Lancaster, Peter Isospectral vibrating systems. I: The spectral method. (English) Zbl 1079.15011 Linear Algebra Appl. 409, 51-69 (2005). Reviewer: Václav Burjan (Praha) MSC: 15A18 15A29 65F18 70J50 PDFBibTeX XMLCite \textit{P. Lancaster}, Linear Algebra Appl. 409, 51--69 (2005; Zbl 1079.15011) Full Text: DOI
Lancaster, P.; Rodman, L. Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. (English) Zbl 1081.15007 Linear Algebra Appl. 406, 1-76 (2005). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A22 15B57 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, Linear Algebra Appl. 406, 1--76 (2005; Zbl 1081.15007) Full Text: DOI
Lancaster, Peter; Psarrakos, Panayiotis On the pseudospectra of matrix polynomials. (English) Zbl 1095.65032 SIAM J. Matrix Anal. Appl. 27, No. 1, 115-129 (2005). Reviewer: Keehwan Kim (Kyongsan) MSC: 65F15 65F35 15A54 15A18 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{P. Psarrakos}, SIAM J. Matrix Anal. Appl. 27, No. 1, 115--129 (2005; Zbl 1095.65032) Full Text: DOI
Lancaster, Peter; Rodman, Leiba Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. (English) Zbl 1087.15014 SIAM Rev. 47, No. 3, 407-443 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A22 15A21 15A63 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, SIAM Rev. 47, No. 3, 407--443 (2005; Zbl 1087.15014) Full Text: DOI
Guo, Chun-Hua; Lancaster, Peter Algorithms for hyperbolic quadratic eigenvalue problems. (English) Zbl 1083.65037 Math. Comput. 74, No. 252, 1777-1791 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 65F30 15A18 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{P. Lancaster}, Math. Comput. 74, No. 252, 1777--1791 (2005; Zbl 1083.65037) Full Text: DOI
Farkas, András; Lancaster, Peter; Rózsa, Pál Consistency adjustments for pairwise comparison matrices. (English) Zbl 1071.65067 Numer. Linear Algebra Appl. 10, No. 8, 689-700 (2003). Reviewer: Jan Chleboun (Praha) MSC: 65F99 65K05 15B57 PDFBibTeX XMLCite \textit{A. Farkas} et al., Numer. Linear Algebra Appl. 10, No. 8, 689--700 (2003; Zbl 1071.65067) Full Text: DOI
Lancaster, P.; Markus, A. S.; Zhou, F. Perturbation theory for analytic matrix functions: The semisimple case. (English) Zbl 1061.15009 SIAM J. Matrix Anal. Appl. 25, No. 3, 606-626 (2003). MSC: 15A18 15A54 47A55 47A56 65F15 PDFBibTeX XMLCite \textit{P. Lancaster} et al., SIAM J. Matrix Anal. Appl. 25, No. 3, 606--626 (2003; Zbl 1061.15009) Full Text: DOI
Lancaster, P.; Markus, A. S.; Zhou, F. A wider class of stable gyroscopic systems. (English) Zbl 1029.15007 Linear Algebra Appl. 370, 257-267 (2003). Reviewer: Václav Burjan (Praha) MSC: 15A18 70E05 70J25 15A22 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Linear Algebra Appl. 370, 257--267 (2003; Zbl 1029.15007) Full Text: DOI
Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. (English) Zbl 1031.47005 Integral Equations Oper. Theory 44, No. 2, 243-253 (2002). Reviewer: Saulius Norvidas (Vilnius) MSC: 47A12 47A75 15A60 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Integral Equations Oper. Theory 44, No. 2, 243--253 (2002; Zbl 1031.47005) Full Text: DOI
Lancaster, Peter; Psarrakos, Panayiotis The numerical range of self-adjoint quadratic matrix polynomials. (English) Zbl 1002.15027 SIAM J. Matrix Anal. Appl. 23, No. 3, 615-631 (2002). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A54 15A18 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{P. Psarrakos}, SIAM J. Matrix Anal. Appl. 23, No. 3, 615--631 (2001; Zbl 1002.15027) Full Text: DOI
Lancaster, Peter; Psarrakos, Panayiotis Normal and seminormal eigenvalues of matrix functions. (English) Zbl 0989.15012 Integral Equations Oper. Theory 41, No. 3, 331-342 (2001). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 47A12 15A18 15A54 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{P. Psarrakos}, Integral Equations Oper. Theory 41, No. 3, 331--342 (2001; Zbl 0989.15012) Full Text: DOI
Freitas, Pedro; Lancaster, Peter On the optimal value of the spectral abscissa for a system of linear oscillators. (English) Zbl 0942.34069 SIAM J. Matrix Anal. Appl. 21, No. 1, 195-208 (1999). MSC: 34L15 34D09 15A22 34A30 34A55 34A12 PDFBibTeX XMLCite \textit{P. Freitas} and \textit{P. Lancaster}, SIAM J. Matrix Anal. Appl. 21, No. 1, 195--208 (1999; Zbl 0942.34069) Full Text: DOI
Hryniv, R.; Lancaster, P. On the perturbation of analytic matrix functions. (English) Zbl 0940.47008 Integral Equations Oper. Theory 34, No. 3, 325-338 (1999). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47A55 47A56 15A18 PDFBibTeX XMLCite \textit{R. Hryniv} and \textit{P. Lancaster}, Integral Equations Oper. Theory 34, No. 3, 325--338 (1999; Zbl 0940.47008) Full Text: DOI
Guo, Chun-Hua; Lancaster, Peter Iterative solution of two matrix equations. (English) Zbl 0940.65036 Math. Comput. 68, No. 228, 1589-1603 (1999). Reviewer: S.Zlobec (Montreal) MSC: 65F10 65F30 15A22 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{P. Lancaster}, Math. Comput. 68, No. 228, 1589--1603 (1999; Zbl 0940.65036) Full Text: DOI
Lancaster, Peter Strongly stable gyroscopic systems. (English) Zbl 0921.47015 Electron. J. Linear Algebra 5, 53-66 (1999). MSC: 47A56 15A22 PDFBibTeX XMLCite \textit{P. Lancaster}, Electron. J. Linear Algebra 5, 53--66 (1999; Zbl 0921.47015) Full Text: DOI EuDML EMIS Link
Krupnik, Ilya; Lancaster, Peter Minimal pencil realizations of rational matrix functions with symmetries. (English) Zbl 0969.93010 Can. Math. Bull. 41, No. 2, 178-186 (1998). Reviewer: R.K.Bose (New Delhi) MSC: 93B20 15A22 15A23 47A56 PDFBibTeX XMLCite \textit{I. Krupnik} and \textit{P. Lancaster}, Can. Math. Bull. 41, No. 2, 178--186 (1998; Zbl 0969.93010) Full Text: DOI
Lancaster, Peter; Maroulas, John; Zizler, Peter The numerical range of selfadjoint matrix polynomials. (English) Zbl 0909.15008 Dijksma, A. (ed.) et al., Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 106, 291-304 (1998). MSC: 15A60 15A22 47A56 PDFBibTeX XMLCite \textit{P. Lancaster} et al., in: Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. 291--304 (1998; Zbl 0909.15008)
Guo, Chun-Hua; Lancaster, Peter Analysis and modification of Newton’s method for algebraic Riccati equations. (English) Zbl 0903.65047 Math. Comput. 67, No. 223, 1089-1105 (1998). Reviewer: M.M.Konstantinov (Sofia) MSC: 65H10 65F30 15A24 93B40 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{P. Lancaster}, Math. Comput. 67, No. 223, 1089--1105 (1998; Zbl 0903.65047) Full Text: DOI
Krupnik, Ilya; Lancaster, Peter \(H\)-selfadjoint and \(H\)-unitary matrix pencils. (English) Zbl 0914.15008 SIAM J. Matrix Anal. Appl. 19, No. 2, 307-324 (1998). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A22 15A21 15B57 PDFBibTeX XMLCite \textit{I. Krupnik} and \textit{P. Lancaster}, SIAM J. Matrix Anal. Appl. 19, No. 2, 307--324 (1998; Zbl 0914.15008) Full Text: DOI
Krupnik, Ilya; Lancaster, Peter Linearizations, realization, and scalar products for regular matrix polynomials. (English) Zbl 0897.15009 Linear Algebra Appl. 272, 45-57 (1998). Reviewer: G.E.Wall (Sydney) MSC: 15A54 15A22 PDFBibTeX XMLCite \textit{I. Krupnik} and \textit{P. Lancaster}, Linear Algebra Appl. 272, 45--57 (1998; Zbl 0897.15009) Full Text: DOI
Krupnik, Ilya; Lancaster, Peter; Zizler, Peter Factorization of selfadjoint matrix polynomials with real spectrum. (English) Zbl 0866.15004 Linear Multilinear Algebra 40, No. 4, 327-336 (1996). MSC: 15A23 15A54 PDFBibTeX XMLCite \textit{I. Krupnik} et al., Linear Multilinear Algebra 40, No. 4, 327--336 (1996; Zbl 0866.15004) Full Text: DOI
Hua, Dai; Lancaster, Peter Linear matrix equations from an inverse problem of vibration theory. (English) Zbl 0861.15014 Linear Algebra Appl. 246, 31-47 (1996). Reviewer: K.H.Kim (Montgomery) MSC: 15A24 74H45 PDFBibTeX XMLCite \textit{D. Hua} and \textit{P. Lancaster}, Linear Algebra Appl. 246, 31--47 (1996; Zbl 0861.15014) Full Text: DOI
Lancaster, P. Spectra and stability of quadratic eigenvalue problems. (English) Zbl 0964.34500 Hamoui, Adnan (ed.) et al., International workshop on the recent advances in applied mathematics, RAAM ’96, State of Kuwait, Kuwait, May 4-7, 1996. Kuwait: Kuwait Univ., Department of Mathematics and Computer Science, 317-338 (1996). MSC: 34-XX 15-XX PDFBibTeX XMLCite \textit{P. Lancaster}, in: International workshop on the recent advances in applied mathematics, RAAM '96, State of Kuwait, Kuwait, May 4--7, 1996. Kuwait: Kuwait Univ., Department of Mathematics and Computer Science. 317--338 (1996; Zbl 0964.34500)
Krupnik, Ilya; Markus, Alexander; Lancaster, Peter Factorization of selfadjoint quadratic matrix polynomials with real spectrum. (English) Zbl 0830.15007 Linear Multilinear Algebra 39, No. 3, 263-272 (1995). MSC: 15A23 15A54 15A18 PDFBibTeX XMLCite \textit{I. Krupnik} et al., Linear Multilinear Algebra 39, No. 3, 263--272 (1995; Zbl 0830.15007) Full Text: DOI
Lancaster, Peter; Rodman, Leiba Algebraic Riccati equations. (English) Zbl 0836.15005 Oxford: Clarendon Press. xvii, 480 p. (1995). Reviewer: N.I.Osetinski (Moskva) MSC: 15A24 15-02 15A22 93C05 93C99 15A23 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, Algebraic Riccati equations. Oxford: Clarendon Press (1995; Zbl 0836.15005)
Lancaster, Peter; Rodman, Leiba Minimal symmetric factorizations of symmetric real and complex rational matrix functions. (English) Zbl 0823.15023 Linear Algebra Appl. 220, 249-282 (1995). Reviewer: E.Ellers (Toronto) MSC: 15A54 15A23 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, Linear Algebra Appl. 220, 249--282 (1995; Zbl 0823.15023) Full Text: DOI
Lancaster, Peter; Rodman, Leiba Invariant neutral subspaces for symmetric and skew real matrix pairs. (English) Zbl 0816.15007 Can. J. Math. 46, No. 3, 602-618 (1994). Reviewer: C.He (Chemnitz) MSC: 15A21 15B57 93C05 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, Can. J. Math. 46, No. 3, 602--618 (1994; Zbl 0816.15007) Full Text: DOI
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang Low rank perturbations of strongly definitizable transformations and matrix polynomials. (English) Zbl 0793.15002 Linear Algebra Appl. 197-198, 3-29 (1994). Reviewer: Li Shaokuan (Shanghai) MSC: 15A18 15A60 15A54 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Linear Algebra Appl. 197--198, 3--29 (1994; Zbl 0793.15002) Full Text: DOI
Lancaster, Peter; Ye, Qiang Definitizable Hermitian matrix pencils. (English) Zbl 0789.15009 Aequationes Math. 46, No. 1-2, 44-55 (1993). Reviewer: S.Sridhar (Madras) MSC: 15A22 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{Q. Ye}, Aequationes Math. 46, No. 1--2, 44--55 (1993; Zbl 0789.15009) Full Text: DOI EuDML
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter Derivatives of eigenvalues and eigenvectors of matrix functions. (English) Zbl 0786.15011 SIAM J. Matrix Anal. Appl. 14, No. 4, 903-926 (1993). Reviewer: Chen Zhijie (Shanghai) MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{A. L. Andrew} et al., SIAM J. Matrix Anal. Appl. 14, No. 4, 903--926 (1993; Zbl 0786.15011) Full Text: DOI
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S. Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. (English) Zbl 0785.47010 Can. J. Math. 44, No. 1, 42-53 (1992). Reviewer: A.G.Baskakov (Voronezh) MSC: 47A56 15A22 PDFBibTeX XMLCite \textit{L. Barkwell} et al., Can. J. Math. 44, No. 1, 42--53 (1992; Zbl 0785.47010) Full Text: DOI
Jameson, Antony; Kreindler, Eliezer; Lancaster, Peter Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\). (English) Zbl 0757.15006 Linear Algebra Appl. 160, 189-215 (1992). Reviewer: T.Nôno (Hiroshima) MSC: 15A24 PDFBibTeX XMLCite \textit{A. Jameson} et al., Linear Algebra Appl. 160, 189--215 (1992; Zbl 0757.15006) Full Text: DOI
Farid, F. O.; Lancaster, P. Spectral properties of diagonally dominant infinite matrices. II. (English) Zbl 0745.47017 Linear Algebra Appl. 143, 7-17 (1991). Reviewer: L.Maté (Budapest) MSC: 47B37 15A18 15A42 PDFBibTeX XMLCite \textit{F. O. Farid} and \textit{P. Lancaster}, Linear Algebra Appl. 143, 7--17 (1991; Zbl 0745.47017) Full Text: DOI
Bittanti, Sergio (ed.); Laub, Alan J. (ed.); Willems, Jan C. (ed.) [Ammar, Gregory; Başar, Tamer; Bitmead, Robert R.; Bittani, Sergio; Callier, Frank M.; Colerani, Patrizio; De Nicolao, Giuseppe; Gevers, Michael; Kučera, Vladimír; Lancaster, Peter; Laub, Alan J.; Martin, Clyde F.; Rodman, Leiba; Shayman, Mark A.; Trentelman, H. L.; Willems, Jacques L.; Willems, Jan C.] The Riccati equation. (English) Zbl 0734.34004 Communications and Control Engineering Series. Berlin etc.: Springer- Verlag. x, 338 p. DM 158.00/hbk (1991). Reviewer: W.Müller (Berlin) MSC: 34-02 34A05 34A26 34C25 15A24 65F15 65F30 91A23 00B15 01A50 49J15 93B25 93B36 93C05 93C55 93D10 93D15 93E11 PDFBibTeX XMLCite \textit{S. Bittanti} (ed.) et al., The Riccati equation. Berlin etc.: Springer-Verlag (1991; Zbl 0734.34004)
Bruckstein, Alfred; Kailath, Thomas; Koltracht, Israel; Lancaster, Peter On the reconstruction of layered media from reflection data. (English) Zbl 0719.65017 SIAM J. Matrix Anal. Appl. 12, No. 1, 24-40 (1991). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F05 15A90 86-08 PDFBibTeX XMLCite \textit{A. Bruckstein} et al., SIAM J. Matrix Anal. Appl. 12, No. 1, 24--40 (1991; Zbl 0719.65017) Full Text: DOI
Lancaster, Peter; Ye, Qiang Variational and numerical methods for symmetric matrix pencils. (English) Zbl 0714.65042 Bull. Aust. Math. Soc. 43, No. 1, 1-17 (1991). Reviewer: A.Ruhe MSC: 65F15 15A18 15A42 15A22 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{Q. Ye}, Bull. Aust. Math. Soc. 43, No. 1, 1--17 (1991; Zbl 0714.65042) Full Text: DOI
Koltracht, Israel; Lancaster, Peter; Smith, Digby The structure of some matrices arising in tomography. (English) Zbl 0702.15020 Linear Algebra Appl. 130, 193-218 (1990). Reviewer: D.Voukalis MSC: 15B57 15A03 PDFBibTeX XMLCite \textit{I. Koltracht} et al., Linear Algebra Appl. 130, 193--218 (1990; Zbl 0702.15020) Full Text: DOI
Farid, F. O.; Lancaster, P. Spectral properties of diagonally dominant infinite matrices. I. (English) Zbl 0681.47011 Proc. R. Soc. Edinb., Sect. A 111, No. 3-4, 301-314 (1989). Reviewer: L.Mate MSC: 47B37 47A10 15A18 PDFBibTeX XMLCite \textit{F. O. Farid} and \textit{P. Lancaster}, Proc. R. Soc. Edinb., Sect. A, Math. 111, No. 3--4, 301--314 (1989; Zbl 0681.47011) Full Text: DOI
Lancaster, Peter; Ye, Qiang Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. (English) Zbl 0676.15007 The Gohberg anniversary collection. Vol. I: Matrix theory papers, Proc. Int. Conf. Oper. Theory., Calgary/Can. 1988, Oper. Theory, Adv. Appl. 40, 247-278 (1989). Reviewer: J.D.Dixon MSC: 15A22 15A18 65F15 PDFBibTeX XML
Dym, H. (ed.); Goldberg, S. (ed.); Kaashoek, M. A. (ed.); Lancaster, P. (ed.) The Gohberg anniversary collection. Volume I: The Calgary conference and matrix theory papers. (Proceedings of the international conference on operator theory: advances and applications, held in Calgary, August 22- 26, 1988, dedicated to Israel Gohberg on the occasion of his 60th birthday). (English) Zbl 0669.00004 Operator Theory: Advances and Applications, 40. Basel etc.: Birkhäuser Verlag. vii, 494 p. DM 268.00/sFr. 228.00 (2 vol. set); DM 138.00/sFr. 118.00 (vol. I) (1989). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{H. Dym} (ed.) et al., The Gohberg anniversary collection. Volume I: The Calgary conference and matrix theory papers. (Proceedings of the international conference on operator theory: advances and applications, held in Calgary, August 22- 26, 1988, dedicated to Israel Gohberg on the occasion of his 60th birthday). Basel etc.: Birkhäuser Verlag (1989; Zbl 0669.00004)
Gohberg, I.; Kaashoek, M. A.; Lancaster, P. General theory of regular matrix polynomials and band Toeplitz operators. (English) Zbl 0671.15012 Integral Equations Oper. Theory 11, No. 6, 776-882 (1988). Reviewer: G.Ph.A.Thijsse MSC: 15A54 47B35 15A22 47A68 15A23 15A60 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Integral Equations Oper. Theory 11, No. 6, 776--882 (1988; Zbl 0671.15012) Full Text: DOI
Lancaster, Peter; Ye, Qiang Inverse spectral problems for linear and quadratic matrix pencils. (English) Zbl 0657.15010 Linear Algebra Appl. 107, 293-309 (1988). Reviewer: A.L.Andrew MSC: 15A22 15A18 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{Q. Ye}, Linear Algebra Appl. 107, 293--309 (1988; Zbl 0657.15010) Full Text: DOI
Koltracht, I.; Lancaster, P. Generalized Schur parameters and the effects of perturbations. (English) Zbl 0646.15010 Linear Algebra Appl. 105, 109-129 (1988). Reviewer: H.-J.Kowalsky MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{I. Koltracht} and \textit{P. Lancaster}, Linear Algebra Appl. 105, 109--129 (1988; Zbl 0646.15010) Full Text: DOI
Lancaster, P.; Maroulas, J. Selective perturbation of spectral properties of vibrating systems using feedback. (English) Zbl 0628.93026 Linear Algebra Appl. 98, 309-330 (1988). MSC: 93B55 93C05 93C15 15A18 93B10 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{J. Maroulas}, Linear Algebra Appl. 98, 309--330 (1988; Zbl 0628.93026) Full Text: DOI
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. (English) Zbl 0626.15005 Linear Multilinear Algebra 20, 353-361 (1987). Reviewer: A.R.Kräuter MSC: 15A24 93C55 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Linear Multilinear Algebra 20, 353--361 (1987; Zbl 0626.15005) Full Text: DOI
Gohberg, I.; Kailath, T.; Koltracht, I.; Lancaster, P. Linear complexity parallel algorithms for linear systems of equations with recursive structure. (English) Zbl 0624.65020 Linear Algebra Appl. 88-89, 271-315 (1987). Reviewer: D.Kershaw MSC: 65F05 15A09 65Y05 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Linear Algebra Appl. 88--89, 271--315 (1987; Zbl 0624.65020) Full Text: DOI
Koltracht, I.; Lancaster, P. A definiteness test for Hankel matrices and their lower submatrices. (English) Zbl 0608.15012 Computing 39, 19-26 (1987). MSC: 15B57 15B48 65F30 PDFBibTeX XMLCite \textit{I. Koltracht} and \textit{P. Lancaster}, Computing 39, 19--26 (1987; Zbl 0608.15012) Full Text: DOI
Lancaster, Peter Common eigenvalues, divisors, and multiples of matrix polynomials: A review. (English) Zbl 0627.15004 Linear Algebra Appl. 84, 139-160 (1986). Reviewer: J.A.Ball MSC: 15A30 15A21 15A18 15-02 PDFBibTeX XMLCite \textit{P. Lancaster}, Linear Algebra Appl. 84, 139--160 (1986; Zbl 0627.15004) Full Text: DOI Backlinks: MO
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Quadratic matrix polynomials with a parameter. (English) Zbl 0623.15003 Adv. Appl. Math. 7, 253-281 (1986). Reviewer: J.D.Dixon MSC: 15A18 15A22 15A60 70J25 30C15 34A30 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Adv. Appl. Math. 7, 253--281 (1986; Zbl 0623.15003) Full Text: DOI
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Invariant subspaces of matrices with applications. (English) Zbl 0608.15004 Canadian Mathematical Society Series of Monographs and Advanced Texts. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XV, 692 p. Ł 58.00 (1986). Reviewer: R.C.Thompson MSC: 15A18 15-02 15A21 15A22 15A60 15A30 15A23 15A42 PDFBibTeX XML
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba On Hermitian solutions of the symmetric algebraic Riccati equation. (English) Zbl 0607.93013 SIAM J. Control Optimization 24, 1323-1334 (1986). Reviewer: H.D.Fischer MSC: 93B25 15A24 93B05 93D99 93D15 47A15 PDFBibTeX XMLCite \textit{I. Gohberg} et al., SIAM J. Control Optim. 24, 1323--1334 (1986; Zbl 0607.93013) Full Text: DOI
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba Hermitian solutions of the discrete algebraic Riccati equation. (English) Zbl 0598.15011 Int. J. Control 44, 777-802 (1986). Reviewer: J.A.Ball MSC: 15A24 93C15 93C55 15A18 15A23 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Int. J. Control 44, 777--802 (1986; Zbl 0598.15011) Full Text: DOI
Elsner, L.; Lancaster, P. The spectral variation of pencils of matrices. (English) Zbl 0593.15013 J. Comput. Math. 3, 262-274 (1985). Reviewer: F.J.Gaines MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{L. Elsner} and \textit{P. Lancaster}, J. Comput. Math. 3, 262--274 (1985; Zbl 0593.15013)
Lancaster, P.; Maroulas, J. The kernel of the Bezoutian for operator polynomials. (English) Zbl 0583.47020 Linear Multilinear Algebra 17, 181-201 (1985). MSC: 47A56 15A24 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{J. Maroulas}, Linear Multilinear Algebra 17, 181--201 (1985; Zbl 0583.47020) Full Text: DOI
Lancaster, Peter; Tismenetsky, Miron The theory of matrices. 2nd ed., with applications. (English) Zbl 0558.15001 Computer Science and Applied Mathematics. Orlando etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XV, 570 p. $ 59.00 (1985). Reviewer: A.G.Ramm MSC: 15-02 34Dxx 39A11 93Dxx 65Fxx PDFBibTeX XML
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba A sign characteristic for selfadjoint rational matrix functions. (English) Zbl 0569.15013 Mathematical theory of networks and systems, Proc. int. Symp., Beer Sheva/Isr. 1983, Lect. Notes Control Inf. Sci. 58, 363-369 (1984). Reviewer: S.H.Żak MSC: 15A54 15B57 93B20 26C15 15A18 PDFBibTeX XML
Lancaster, P.; Rózsa, P. Eigenvectors of H-selfadjoint matrices. (English) Zbl 0555.15005 Z. Angew. Math. Mech. 64, 439-441 (1984). MSC: 15A18 15A24 15B57 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{P. Rózsa}, Z. Angew. Math. Mech. 64, 439--441 (1984; Zbl 0555.15005) Full Text: DOI
Lancaster, P.; Lerer, L.; Tismenetsky, M. Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices. (English) Zbl 0552.15008 Linear Algebra Appl. 62, 19-49 (1984). Reviewer: B.Reichstein MSC: 15A24 15B57 PDFBibTeX XMLCite \textit{P. Lancaster} et al., Linear Algebra Appl. 62, 19--49 (1984; Zbl 0552.15008) Full Text: DOI
Lancaster, P.; Rozsa, P. On the matrix equation \(AX+X^*A^*=C\). (English) Zbl 0537.15010 SIAM J. Algebraic Discrete Methods 4, 432-436 (1983). MSC: 15A24 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{P. Rozsa}, SIAM J. Algebraic Discrete Methods 4, 432--436 (1983; Zbl 0537.15010) Full Text: DOI
Lancaster, P.; Tismenetsky, M. Some extensions and modifications of classical stability tests for polynomials. (English) Zbl 0526.93043 Int. J. Control 38, 369-380 (1983). MSC: 93D99 15A30 15A18 15B57 12D10 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{M. Tismenetsky}, Int. J. Control 38, 369--380 (1983; Zbl 0526.93043) Full Text: DOI
Lancaster, P.; Tismenetsky, M. Inertia characteristics of self-adjoint matrix polynomials. (English) Zbl 0516.15018 Linear Algebra Appl. 52-53, 479-496 (1983). MSC: 15A54 15A18 15A21 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{M. Tismenetsky}, Linear Algebra Appl. 52--53, 479--496 (1983; Zbl 0516.15018) Full Text: DOI
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Matrices and indefinite scalar products. (English) Zbl 0513.15006 Operator Theory: Advances and Applications, Vol. 8. Basel -Boston - Stuttgart: Birkhäuser Verlag. XVII, 374 p. SFr. 70.00 (1983). MSC: 15A63 46C20 15-02 47B50 15B57 15A21 15A60 47A60 34A12 49J15 39A10 34D10 39A11 PDFBibTeX XML
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba A sign characteristic for self-adjoint meromorphic matrix functions. (English) Zbl 0494.15012 Appl. Anal. 16, 165-185 (1983). MSC: 15A60 47A60 30D10 46C20 15A18 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Appl. Anal. 16, 165--185 (1983; Zbl 0494.15012) Full Text: DOI
Lancaster, P. Theory of matrices. (Teoriya matrits). Transl. from the English. 2nd ed., rev. (Russian) Zbl 0515.15002 Moskva: “Nauka”. 269 p. R. 1.40 (1982). MSC: 15-02 15A03 15A15 15A18 49R50 15A21 15A60 15A24 34D20 15B48 70J99 PDFBibTeX XML
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Perturbations of H-selfadjoint matrices, with applications to differential equations. (English) Zbl 0511.15010 Integral Equations Oper. Theory 5, 718-757 (1982). MSC: 15B57 15A63 15A18 47B50 34A30 34D30 15A21 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Integral Equations Oper. Theory 5, 718--757 (1982; Zbl 0511.15010) Full Text: DOI
Lancaster, Peter Generalized Hermitian matrices: A new frontier for numerical analysis? (English) Zbl 0504.65014 Numerical analysis, Proc. 9th bienn. Conf., Dundee/Scotl. 1981, Lect. Notes Math. 912, 179-189 (1982). MSC: 65F15 15A18 15A21 15A23 PDFBibTeX XML
Lancaster, P. A review of some recent results concerning factorization of matrix and operator valued functions. (English) Zbl 0502.47007 Nonlinear analysis and applications, Proc. int. Conf., St. John’s/Newfoundland 1981, Lect. Notes Pure Appl. Math. 80, 117-139 (1982). MSC: 47A68 47A56 47A55 15A99 PDFBibTeX XML
Lancaster, P.; Pattabhiraman, M. V. The local determination of Jordan bases for H-self-adjoint operators. (English) Zbl 0501.15008 Linear Algebra Appl. 48, 191-199 (1982). MSC: 15A21 15A18 15A63 47B50 15A60 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{M. V. Pattabhiraman}, Linear Algebra Appl. 48, 191--199 (1982; Zbl 0501.15008) Full Text: DOI
Barnett, S.; Lancaster, P. Matrices having striped inverse. (English) Zbl 0496.15005 Progress in cybernetics and systems research, Vol. 8, 333-336 (1982). MSC: 15A09 15B57 PDFBibTeX XML
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Factorization of selfadjoint matrix polynomials with constant signature. (English) Zbl 0486.15008 Linear Multilinear Algebra 11, 209-224 (1982). MSC: 15A54 15A23 15A18 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Linear Multilinear Algebra 11, 209--224 (1982; Zbl 0486.15008) Full Text: DOI
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba Matrix polynomials. (English) Zbl 0482.15001 Computer Science and Applied Mathematics. New York etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. XIV, 409 p. $ 44.00 (1982). MSC: 15-02 15A21 15A18 15A60 PDFBibTeX XML
Barnett, S.; Lancaster, P. Some properties of the Bezoutian for polynomial matrices. (English) Zbl 0504.15002 Linear Multilinear Algebra 9, 99-110 (1980). MSC: 15A18 15A23 15A15 PDFBibTeX XMLCite \textit{S. Barnett} and \textit{P. Lancaster}, Linear Multilinear Algebra 9, 99--110 (1980; Zbl 0504.15002) Full Text: DOI