Perry, Sean An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble. (English) Zbl 07311020 Anal. Math. Phys. 11, No. 2, Paper No. 52, 14 p. (2021). MSC: 14 13 68 PDF BibTeX XML Cite \textit{S. Perry}, Anal. Math. Phys. 11, No. 2, Paper No. 52, 14 p. (2021; Zbl 07311020) Full Text: DOI
Klep, Igor; Vinnikov, Victor; Volčič, Jurij Multipartite rational functions. (English) Zbl 07261431 Doc. Math. 25, 1285-1313 (2020). MSC: 16K40 12E15 47A56 16R50 PDF BibTeX XML Cite \textit{I. Klep} et al., Doc. Math. 25, 1285--1313 (2020; Zbl 07261431) Full Text: DOI
Fasi, Massimiliano; Iannazzo, Bruno Substitution algorithms for rational matrix equations. (English) Zbl 1448.65033 ETNA, Electron. Trans. Numer. Anal. 53, 500-521 (2020). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{M. Fasi} and \textit{B. Iannazzo}, ETNA, Electron. Trans. Numer. Anal. 53, 500--521 (2020; Zbl 1448.65033) Full Text: DOI Link
Haukkanen, Pentti Rational arithmetical functions related to certain unitary analogs of GCD type matrices. (English) Zbl 07250417 East-West J. Math. 22, No. 1, 64-75 (2020). MSC: 11A25 11C20 15B36 PDF BibTeX XML Cite \textit{P. Haukkanen}, East-West J. Math. 22, No. 1, 64--75 (2020; Zbl 07250417) Full Text: DOI Link
Klep, Igor; Vinnikov, Victor; Volčič, Jurij Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. (English) Zbl 1444.32003 Trans. Am. Math. Soc. 373, No. 8, 5587-5625 (2020). MSC: 32A20 47A56 16W60 16R50 32A05 16K40 PDF BibTeX XML Cite \textit{I. Klep} et al., Trans. Am. Math. Soc. 373, No. 8, 5587--5625 (2020; Zbl 1444.32003) Full Text: DOI
Elsworth, Steven; Güttel, Stefan The block rational Arnoldi method. (English) Zbl 1441.65047 SIAM J. Matrix Anal. Appl. 41, No. 2, 365-388 (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F25 65F15 65F50 PDF BibTeX XML Cite \textit{S. Elsworth} and \textit{S. Güttel}, SIAM J. Matrix Anal. Appl. 41, No. 2, 365--388 (2020; Zbl 1441.65047) Full Text: DOI
Chan, Shan Tai; Yuan, Yuan Finding the determinant of a matrix via complex analysis. (English) Zbl 1441.30007 Am. Math. Mon. 127, No. 6, 530-536 (2020). MSC: 30C10 15A15 PDF BibTeX XML Cite \textit{S. T. Chan} and \textit{Y. Yuan}, Am. Math. Mon. 127, No. 6, 530--536 (2020; Zbl 1441.30007) Full Text: DOI
Kass, Jesse Leo; Wickelgren, Kirsten A classical proof that the algebraic homotopy class of a rational function is the residue pairing. (English) Zbl 1437.14030 Linear Algebra Appl. 595, 157-181 (2020). Reviewer: Ben Williams (Vancouver) MSC: 14F42 14B05 55M25 PDF BibTeX XML Cite \textit{J. L. Kass} and \textit{K. Wickelgren}, Linear Algebra Appl. 595, 157--181 (2020; Zbl 1437.14030) Full Text: DOI
Sarumi, Ibrahim O.; Furati, Khaled M.; Khaliq, Abdul Q. M. Highly accurate global Padé approximations of generalized Mittag-Leffler function and its inverse. (English) Zbl 1440.65100 J. Sci. Comput. 82, No. 2, Paper No. 46, 27 p. (2020). MSC: 65M06 33E12 41A21 35C20 26A33 35R11 74F10 74K20 35Q74 PDF BibTeX XML Cite \textit{I. O. Sarumi} et al., J. Sci. Comput. 82, No. 2, Paper No. 46, 27 p. (2020; Zbl 1440.65100) Full Text: DOI
Kim, Jeongook A non-recursive approach to Nevanlinna-Pick interpolation problem. (English) Zbl 07254046 Honam Math. J. 41, No. 4, 823-835 (2019). MSC: 47A48 47A57 93B28 PDF BibTeX XML Cite \textit{J. Kim}, Honam Math. J. 41, No. 4, 823--835 (2019; Zbl 07254046) Full Text: DOI
Ikramov, Kh. D. Certain localization regions for the eigenvalues of a normal matrix. (English. Russian original) Zbl 1433.65051 Comput. Math. Math. Phys. 59, No. 8, 1233-1235 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1296-1298 (2019). MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{Kh. D. Ikramov}, Comput. Math. Math. Phys. 59, No. 8, 1233--1235 (2019; Zbl 1433.65051); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1296--1298 (2019) Full Text: DOI
Yu, Ying-Ying; Ma, Hui; Zhu, Chun-Gang Total positivity of a kind of generalized toric-Bernstein basis. (English) Zbl 1431.65018 Linear Algebra Appl. 579, 449-462 (2019). MSC: 65D17 15B48 41A15 65D12 PDF BibTeX XML Cite \textit{Y.-Y. Yu} et al., Linear Algebra Appl. 579, 449--462 (2019; Zbl 1431.65018) Full Text: DOI
Simon, Barry Loewner’s theorem on monotone matrix functions. (English) Zbl 1428.26002 Grundlehren der Mathematischen Wissenschaften 354. Cham: Springer (ISBN 978-3-030-22421-9/hbk; 978-3-030-22422-6/ebook). xi, 459 p. (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 26-02 15-02 PDF BibTeX XML Cite \textit{B. Simon}, Loewner's theorem on monotone matrix functions. Cham: Springer (2019; Zbl 1428.26002) Full Text: DOI
Ramezani, Z.; Toutounian, F. Extended and rational Hessenberg methods for the evaluation of matrix functions. (English) Zbl 07074125 BIT 59, No. 2, 523-545 (2019). MSC: 65F10 PDF BibTeX XML Cite \textit{Z. Ramezani} and \textit{F. Toutounian}, BIT 59, No. 2, 523--545 (2019; Zbl 07074125) Full Text: DOI
Fasi, Massimiliano Optimality of the Paterson-Stockmeyer method for evaluating matrix polynomials and rational matrix functions. (English) Zbl 1431.65062 Linear Algebra Appl. 574, 182-200 (2019). MSC: 65F60 15A16 PDF BibTeX XML Cite \textit{M. Fasi}, Linear Algebra Appl. 574, 182--200 (2019; Zbl 1431.65062) Full Text: DOI
Dopico, Froilán M.; Marcaida, Silvia; Quintana, María C. Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. (English) Zbl 1416.65095 Linear Algebra Appl. 570, 1-45 (2019). MSC: 65F15 15A18 15A22 15A54 93B18 93B20 93B60 PDF BibTeX XML Cite \textit{F. M. Dopico} et al., Linear Algebra Appl. 570, 1--45 (2019; Zbl 1416.65095) Full Text: DOI arXiv
Kaashoek, M. A.; van Schagen, F. Errata to: “The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line”. (English) Zbl 1448.47023 Oper. Matrices 12, No. 4, 1199-1200 (2018). MSC: 47A56 47B35 47A48 93B15 15A06 PDF BibTeX XML Cite \textit{M. A. Kaashoek} and \textit{F. van Schagen}, Oper. Matrices 12, No. 4, 1199--1200 (2018; Zbl 1448.47023) Full Text: DOI
Its, A. R.; Prokhorov, A. On some Hamiltonian properties of the isomonodromic tau functions. (English) Zbl 1408.30036 Rev. Math. Phys. 30, No. 7, Article ID 1840008, 38 p. (2018). MSC: 30D30 34M03 PDF BibTeX XML Cite \textit{A. R. Its} and \textit{A. Prokhorov}, Rev. Math. Phys. 30, No. 7, Article ID 1840008, 38 p. (2018; Zbl 1408.30036) Full Text: DOI arXiv
Amparan, A.; Dopico, F. M.; Marcaida, S.; Zaballa, I. Strong linearizations of rational matrices. (English) Zbl 1431.65039 SIAM J. Matrix Anal. Appl. 39, No. 4, 1670-1700 (2018). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 15A22 15A54 93B18 93B20 93B60 PDF BibTeX XML Cite \textit{A. Amparan} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1670--1700 (2018; Zbl 1431.65039) Full Text: DOI
Lomadze, Vakhtang On the Wiener-Hopf factorization of rational matrices. (English) Zbl 1387.15011 Trans. A. Razmadze Math. Inst. 172, No. 1, 73-81 (2018). MSC: 15A23 15A15 PDF BibTeX XML Cite \textit{V. Lomadze}, Trans. A. Razmadze Math. Inst. 172, No. 1, 73--81 (2018; Zbl 1387.15011) Full Text: DOI
Alam, Rafikul; Behera, Namita Generalized Fiedler pencils for rational matrix functions. (English) Zbl 1392.65083 SIAM J. Matrix Anal. Appl. 39, No. 2, 587-610 (2018). MSC: 65F15 15A18 15B57 65F35 PDF BibTeX XML Cite \textit{R. Alam} and \textit{N. Behera}, SIAM J. Matrix Anal. Appl. 39, No. 2, 587--610 (2018; Zbl 1392.65083) Full Text: DOI
Volčič, Jurij Matrix coefficient realization theory of noncommutative rational functions. (English) Zbl 1441.16030 J. Algebra 499, 397-437 (2018). MSC: 16S85 47A56 16R50 93B20 PDF BibTeX XML Cite \textit{J. Volčič}, J. Algebra 499, 397--437 (2018; Zbl 1441.16030) Full Text: DOI arXiv
Pascoe, J. E. Positivstellensätze for noncommutative rational expressions. (English) Zbl 1390.13076 Proc. Am. Math. Soc. 146, No. 3, 933-937 (2018). Reviewer: Tobias Kaiser (Passau) MSC: 13J30 16K40 47L07 15A22 26C15 47A63 PDF BibTeX XML Cite \textit{J. E. Pascoe}, Proc. Am. Math. Soc. 146, No. 3, 933--937 (2018; Zbl 1390.13076) Full Text: DOI
Sastre, J. Efficient evaluation of matrix polynomials. (English) Zbl 1432.65029 Linear Algebra Appl. 539, 229-250 (2018). MSC: 65D99 15A99 65Y05 PDF BibTeX XML Cite \textit{J. Sastre}, Linear Algebra Appl. 539, 229--250 (2018; Zbl 1432.65029) Full Text: DOI
Melman, A. Improved Cauchy radius for scalar and matrix polynomials. (English) Zbl 1383.15017 Proc. Am. Math. Soc. 146, No. 2, 613-624 (2018). Reviewer: Piroska Lakatos (Debrecen) MSC: 15A54 30C15 47A56 65F15 PDF BibTeX XML Cite \textit{A. Melman}, Proc. Am. Math. Soc. 146, No. 2, 613--624 (2018; Zbl 1383.15017) Full Text: DOI arXiv
Stanimirović, Ivan Computation of generalized matrix inverses and applications. (English) Zbl 1382.65112 Oakville, ON: Apple Academic Press (ISBN 978-1-77188-622-2/hbk; 978-1-351-63006-1/ebook). xii, 280 p. (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65-01 65F05 65D18 15A54 PDF BibTeX XML Cite \textit{I. Stanimirović}, Computation of generalized matrix inverses and applications. Oakville, ON: Apple Academic Press (2018; Zbl 1382.65112) Full Text: Link
Fritzsche, Bernd; Kirstein, Bernd; Roitberg, Inna; Sakhnovich, Alexander Stability of the procedure of explicit recovery of skew-selfadjoint Dirac systems from rational Weyl matrix functions. (English) Zbl 1373.15025 Linear Algebra Appl. 533, 428-450 (2017). MSC: 15A29 15A16 15A24 93B20 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., Linear Algebra Appl. 533, 428--450 (2017; Zbl 1373.15025) Full Text: DOI
Derevyagin, Maxim A note on Wall’s modification of the Schur algorithm and linear pencils of Jacobi matrices. (English) Zbl 06764071 J. Approx. Theory 221, 1-21 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A57 30E05 30B70 42C05 47B36 PDF BibTeX XML Cite \textit{M. Derevyagin}, J. Approx. Theory 221, 1--21 (2017; Zbl 06764071) Full Text: DOI arXiv
Esmaili, Farhad; Kamyad, A. V.; Jahed-Motlagh, Mohammad Reza; Pariz, Naser Global asymptotic stabilisation of rational dynamical systems based on solving BMI. (English) Zbl 1367.93559 Int. J. Control 90, No. 8, 1769-1777 (2017). MSC: 93D20 93C10 93C15 93D30 PDF BibTeX XML Cite \textit{F. Esmaili} et al., Int. J. Control 90, No. 8, 1769--1777 (2017; Zbl 1367.93559) Full Text: DOI
Jeannerod, Claude-Pierre; Neiger, Vincent; Schost, Éric; Villard, Gilles Computing minimal interpolation bases. (English) Zbl 1375.65013 J. Symb. Comput. 83, 272-314 (2017). MSC: 65D05 41A05 41A10 15A54 41A20 41A21 65Q30 41A63 65Y20 PDF BibTeX XML Cite \textit{C.-P. Jeannerod} et al., J. Symb. Comput. 83, 272--314 (2017; Zbl 1375.65013) Full Text: DOI
Robol, Leonardo; Vandebril, Raf; Dooren, Paul Van A framework for structured linearizations of matrix polynomials in various bases. (English) Zbl 1365.15028 SIAM J. Matrix Anal. Appl. 38, No. 1, 188-216 (2017). MSC: 15A54 15A22 PDF BibTeX XML Cite \textit{L. Robol} et al., SIAM J. Matrix Anal. Appl. 38, No. 1, 188--216 (2017; Zbl 1365.15028) Full Text: DOI arXiv
Prokhorov, Vasily A. On singular numbers of Hankel matrices of Markov functions. (English) Zbl 1362.30042 Aust. J. Math. Anal. Appl. 14, No. 1, Article No. 7, 17 p. (2017). MSC: 30E10 47B35 41A46 41A20 PDF BibTeX XML Cite \textit{V. A. Prokhorov}, Aust. J. Math. Anal. Appl. 14, No. 1, Article No. 7, 17 p. (2017; Zbl 1362.30042) Full Text: Link
Klep, Igor; Volčič, Jurij Free loci of matrix pencils and domains of noncommutative rational functions. (English) Zbl 1365.15017 Comment. Math. Helv. 92, No. 1, 105-130 (2017). Reviewer: Rabe von Randow (Bonn) MSC: 15A22 14P05 16R30 26C15 16K40 16N40 PDF BibTeX XML Cite \textit{I. Klep} and \textit{J. Volčič}, Comment. Math. Helv. 92, No. 1, 105--130 (2017; Zbl 1365.15017) Full Text: DOI arXiv
Kytmanov, Alexander M.; Naprienko, Yaroslav M. An approach to define the resultant of two entire functions. (English) Zbl 1369.30005 Complex Var. Elliptic Equ. 62, No. 2, 269-286 (2017). Reviewer: Igor Chyzhykov (Lviv) MSC: 30C15 30D10 PDF BibTeX XML Cite \textit{A. M. Kytmanov} and \textit{Y. M. Naprienko}, Complex Var. Elliptic Equ. 62, No. 2, 269--286 (2017; Zbl 1369.30005) Full Text: DOI
Volčič, Jurij On domains of noncommutative rational functions. (English) Zbl 1376.16022 Linear Algebra Appl. 516, 69-81 (2017). MSC: 16S38 15A54 16S10 47A56 93B20 93B55 PDF BibTeX XML Cite \textit{J. Volčič}, Linear Algebra Appl. 516, 69--81 (2017; Zbl 1376.16022) Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak Characterizations of rectangular (para)-unitary rational functions. (English) Zbl 1376.26013 Opusc. Math. 36, No. 6, 695-716 (2016). MSC: 26C15 30D30 30D60 PDF BibTeX XML Cite \textit{D. Alpay} et al., Opusc. Math. 36, No. 6, 695--716 (2016; Zbl 1376.26013) Full Text: DOI arXiv
Grundhöfer, Theo; Grüninger, Matthias Wild nearfields of dimension 2 over rational function fields. (English) Zbl 1369.12007 J. Geom. 107, No. 2, 317-328 (2016). Reviewer: Hubert Kiechle (Hamburg) (MR3519952) MSC: 12K05 20B22 20E06 20H20 PDF BibTeX XML Cite \textit{T. Grundhöfer} and \textit{M. Grüninger}, J. Geom. 107, No. 2, 317--328 (2016; Zbl 1369.12007) Full Text: DOI
Pranić, Miroslav S.; Reichel, Lothar; Rodriguez, Giuseppe; Wang, Zhengsheng; Yu, Xuebo A rational Arnoldi process with applications. (English) Zbl 1424.65042 Numer. Linear Algebra Appl. 23, No. 6, 1007-1022 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 65F60 PDF BibTeX XML Cite \textit{M. S. Pranić} et al., Numer. Linear Algebra Appl. 23, No. 6, 1007--1022 (2016; Zbl 1424.65042) Full Text: DOI
Kaashoek, M. A.; van Schagen, F. The Ellis-Gohberg inverse problem for matrix-valued Wiener functions on the line. (English) Zbl 1368.47012 Oper. Matrices 10, No. 4, 1009-1042 (2016); errata ibid. 12, No. 4, 1199-1200 (2018). MSC: 47A56 47B35 47A48 93B15 15A06 PDF BibTeX XML Cite \textit{M. A. Kaashoek} and \textit{F. van Schagen}, Oper. Matrices 10, No. 4, 1009--1042 (2016; Zbl 1368.47012) Full Text: DOI
Alam, Rafikul; Behera, Namita Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations. (English) Zbl 1352.65115 Linear Algebra Appl. 510, 373-394 (2016). MSC: 65F15 15B57 15A18 65F35 PDF BibTeX XML Cite \textit{R. Alam} and \textit{N. Behera}, Linear Algebra Appl. 510, 373--394 (2016; Zbl 1352.65115) Full Text: DOI
Jagels, Carl; Mach, Thomas; Reichel, Lothar; Vandebril, Raf Convergence rates for inverse-free rational approximation of matrix functions. (English) Zbl 1352.65135 Linear Algebra Appl. 510, 291-310 (2016). MSC: 65F60 65F10 47J25 15A16 PDF BibTeX XML Cite \textit{C. Jagels} et al., Linear Algebra Appl. 510, 291--310 (2016; Zbl 1352.65135) Full Text: DOI
Aprahamian, Mary; Higham, Nicholas J. Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms. (English) Zbl 1388.15012 SIAM J. Matrix Anal. Appl. 37, No. 4, 1453-1477 (2016). MSC: 15A24 65F30 65F60 PDF BibTeX XML Cite \textit{M. Aprahamian} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1453--1477 (2016; Zbl 1388.15012) Full Text: DOI
Amparan, A.; Marcaida, S.; Zaballa, I. On coprime rational function matrices. (English) Zbl 1377.15019 Linear Algebra Appl. 507, 1-31 (2016). MSC: 15B33 26C15 PDF BibTeX XML Cite \textit{A. Amparan} et al., Linear Algebra Appl. 507, 1--31 (2016; Zbl 1377.15019) Full Text: DOI
Nakatsukasa, Yuji; Freund, Roland W. Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. (English) Zbl 1383.15012 SIAM Rev. 58, No. 3, 461-493 (2016). MSC: 15A23 65F15 65F30 65G50 PDF BibTeX XML Cite \textit{Y. Nakatsukasa} and \textit{R. W. Freund}, SIAM Rev. 58, No. 3, 461--493 (2016; Zbl 1383.15012) Full Text: DOI
Gemignani, Luca Zerofinding of analytic functions by structured matrix methods. (English) Zbl 1346.65021 da Fonseca, Carlos M. et al., A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14–17, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1668-3/pbk; 978-1-4704-2902-7/ebook). Contemporary Mathematics 658, 47-66 (2016). MSC: 65H05 65E05 30C15 PDF BibTeX XML Cite \textit{L. Gemignani}, Contemp. Math. 658, 47--66 (2016; Zbl 1346.65021) Full Text: DOI
Iannazzo, Bruno The geometric mean of two matrices from a computational viewpoint. (English) Zbl 1374.65083 Numer. Linear Algebra Appl. 23, No. 2, 208-229 (2016). MSC: 65F60 15B48 47A64 26E60 PDF BibTeX XML Cite \textit{B. Iannazzo}, Numer. Linear Algebra Appl. 23, No. 2, 208--229 (2016; Zbl 1374.65083) Full Text: DOI arXiv
Alam, Rafikul; Behera, Namita Linearizations for rational matrix functions and Rosenbrock system polynomials. (English) Zbl 1376.65042 SIAM J. Matrix Anal. Appl. 37, No. 1, 354-380 (2016). MSC: 65F15 15A18 65F35 15B57 PDF BibTeX XML Cite \textit{R. Alam} and \textit{N. Behera}, SIAM J. Matrix Anal. Appl. 37, No. 1, 354--380 (2016; Zbl 1376.65042) Full Text: DOI
Güttel, Stefan; Nakatsukasa, Yuji Scaled and squared subdiagonal Padé approximation for the matrix exponential. (English) Zbl 1382.65125 SIAM J. Matrix Anal. Appl. 37, No. 1, 145-170 (2016). MSC: 65F60 15A16 15A23 65F30 41A20 41A21 65G50 PDF BibTeX XML Cite \textit{S. Güttel} and \textit{Y. Nakatsukasa}, SIAM J. Matrix Anal. Appl. 37, No. 1, 145--170 (2016; Zbl 1382.65125) Full Text: DOI
Nagisa, Masaru A note on rational operator monotone functions. (English) Zbl 1349.26025 Sci. Math. Jpn. 78, No. 2, 207-214 (2015). MSC: 26A48 47A63 PDF BibTeX XML Cite \textit{M. Nagisa}, Sci. Math. Jpn. 78, No. 2, 207--214 (2015; Zbl 1349.26025) Full Text: Link Link
Suyama, Koichi; Kosugi, Nobuko A new approach to Bezout equations derived from multivariate polynomial matrices and real entire functions. (English) Zbl 1334.15045 Linear Multilinear Algebra 63, No. 11, 2318-2331 (2015). Reviewer: Rabe von Randow (Bonn) MSC: 15A24 13P05 13P25 15A16 PDF BibTeX XML Cite \textit{K. Suyama} and \textit{N. Kosugi}, Linear Multilinear Algebra 63, No. 11, 2318--2331 (2015; Zbl 1334.15045) Full Text: DOI
Al-Mohy, Awad H.; Higham, Nicholas J.; Relton, Samuel D. New algorithms for computing the matrix sine and cosine separately or simultaneously. (English) Zbl 1315.65045 SIAM J. Sci. Comput. 37, No. 1, A456-A487 (2015). MSC: 65F60 PDF BibTeX XML Cite \textit{A. H. Al-Mohy} et al., SIAM J. Sci. Comput. 37, No. 1, A456--A487 (2015; Zbl 1315.65045) Full Text: DOI
Melnikov, Andrey; Vinnikov, Victor Null/pole interpolation problem in the class \(\mathcal {RI}\) of rational functions intertwining solutions of linear differential equations. (English) Zbl 1320.47008 Complex Anal. Oper. Theory 9, No. 1, 1-19 (2015). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A56 93B55 93A30 93B25 34B24 PDF BibTeX XML Cite \textit{A. Melnikov} and \textit{V. Vinnikov}, Complex Anal. Oper. Theory 9, No. 1, 1--19 (2015; Zbl 1320.47008) Full Text: DOI
Aptekarev, A. I. Spectral problems of high-order recurrences. (English) Zbl 1335.47020 Khruslov, E. (ed.) et al., Spectral theory and differential equations: V. A. Marchenko’s 90th anniversary collection. Providence, RI: American Mathematical Society (AMS); (ISBN 978-1-4704-1683-6/hbk). Translations. Series 2. American Mathematical Society 233; Advances in the Mathematical Sciences 66, 43-61 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 47B39 41A10 41A20 41A21 30B70 PDF BibTeX XML Cite \textit{A. I. Aptekarev}, Transl., Ser. 2, Am. Math. Soc. 233, 43--61 (2014; Zbl 1335.47020)
Mach, Thomas; Pranić, Miroslav S.; Vandebril, Raf Computing approximate (block) rational Krylov subspaces without explicit inversion with extensions to symmetric matrices. (English) Zbl 1302.65078 ETNA, Electron. Trans. Numer. Anal. 43(2014-2015), 100-124 (2014). MSC: 65F10 65F30 65F60 15A24 PDF BibTeX XML Cite \textit{T. Mach} et al., ETNA, Electron. Trans. Numer. Anal. 43, 100--124 (2014; Zbl 1302.65078) Full Text: EMIS
Ziȩtak, Krystyna The dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector function. (English) Zbl 1294.65050 J. Comput. Appl. Math. 272, 468-486 (2014). MSC: 65F30 15A24 15A16 65F60 PDF BibTeX XML Cite \textit{K. Ziȩtak}, J. Comput. Appl. Math. 272, 468--486 (2014; Zbl 1294.65050) Full Text: DOI
Helton, J. William; McCullough, Scott Free convex sets defined by rational expressions have LMI representations. (English) Zbl 1298.47025 J. Convex Anal. 21, No. 2, 425-448 (2014). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A63 47L07 14P10 PDF BibTeX XML Cite \textit{J. W. Helton} and \textit{S. McCullough}, J. Convex Anal. 21, No. 2, 425--448 (2014; Zbl 1298.47025) Full Text: Link arXiv
Jovović, Ivana Total reduction of linear systems of operator equations with the system matrix in the companion form. (English) Zbl 1313.15021 Publ. Inst. Math., Nouv. Sér. 93(107), 117-126 (2013). MSC: 15A21 15A06 47A50 PDF BibTeX XML Cite \textit{I. Jovović}, Publ. Inst. Math., Nouv. Sér. 93(107), 117--126 (2013; Zbl 1313.15021) Full Text: DOI
Güttel, Stefan Rational Krylov approximation of matrix functions: numerical methods and optimal pole selection. (English) Zbl 1292.65043 GAMM-Mitt. 36, No. 1, 8-31 (2013). Reviewer: João R. Cardoso (Coimbra) MSC: 65F60 15A16 PDF BibTeX XML Cite \textit{S. Güttel}, GAMM-Mitt. 36, No. 1, 8--31 (2013; Zbl 1292.65043) Full Text: DOI
Göckler, Tanja; Grimm, Volker Convergence analysis of an extended Krylov subspace method for the approximation of operator functions in exponential integrators. (English) Zbl 1278.65076 SIAM J. Numer. Anal. 51, No. 4, 2189-2213 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 65J08 65F60 65M12 65M22 34G20 PDF BibTeX XML Cite \textit{T. Göckler} and \textit{V. Grimm}, SIAM J. Numer. Anal. 51, No. 4, 2189--2213 (2013; Zbl 1278.65076) Full Text: DOI
Fritzsche, B.; Kirstein, B.; Roitberg, I. Ya.; Sakhnovich, A. L. Weyl theory and explicit solutions of direct and inverse problems for Dirac system with a rectangular matrix potential. (English) Zbl 1281.34030 Oper. Matrices 7, No. 1, 183-196 (2013). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34B20 34L40 15A15 93B15 34B40 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., Oper. Matrices 7, No. 1, 183--196 (2013; Zbl 1281.34030) Full Text: DOI Link
Sastre, Jorge Efficient mixed rational and polynomial approximation of matrix functions. (English) Zbl 1283.65047 Appl. Math. Comput. 218, No. 24, 11938-11946 (2012). MSC: 65F60 41A10 41A20 PDF BibTeX XML Cite \textit{J. Sastre}, Appl. Math. Comput. 218, No. 24, 11938--11946 (2012; Zbl 1283.65047) Full Text: DOI
Ball, Joseph A.; Boquet, Grant M.; Vinnikov, Victor A behavioral interpretation of Livšic systems. (English) Zbl 1256.93057 Multidimensional Syst. Signal Process. 23, No. 1-2, 17-48 (2012). MSC: 93C35 93C55 93B15 PDF BibTeX XML Cite \textit{J. A. Ball} et al., Multidimensional Syst. Signal Process. 23, No. 1--2, 17--48 (2012; Zbl 1256.93057) Full Text: DOI
Noferini, Vanni The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation. (English) Zbl 1250.15014 Electron. J. Linear Algebra 23, 607-624 (2012). MSC: 15A18 15A21 15A54 PDF BibTeX XML Cite \textit{V. Noferini}, Electron. J. Linear Algebra 23, 607--624 (2012; Zbl 1250.15014) Full Text: DOI Link arXiv
Eidelman, Y.; Haimovici, I. Divide and conquer method for eigenstructure of quasiseparable matrices using zeroes of rational matrix functions. (English) Zbl 1255.65077 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, 299-328 (2012). Reviewer: Pavel Jiránek (Toulouse) MSC: 65F15 PDF BibTeX XML Cite \textit{Y. Eidelman} and \textit{I. Haimovici}, Oper. Theory: Adv. Appl. 218, 299--328 (2012; Zbl 1255.65077) Full Text: DOI
Lomadze, Vakhtang Behaviors and symbols of rational matrices. (English) Zbl 1250.93045 Syst. Control Lett. 61, No. 1, 98-106 (2012). MSC: 93B25 93B10 PDF BibTeX XML Cite \textit{V. Lomadze}, Syst. Control Lett. 61, No. 1, 98--106 (2012; Zbl 1250.93045) Full Text: DOI
Bos, Len; De Marchi, Stefano; Hormann, Kai; Klein, Georges On the Lebesgue constant of barycentric rational interpolation at equidistant nodes. (English) Zbl 1252.41003 Numer. Math. 121, No. 3, 461-471 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A05 41A20 65D05 65F35 PDF BibTeX XML Cite \textit{L. Bos} et al., Numer. Math. 121, No. 3, 461--471 (2012; Zbl 1252.41003) Full Text: DOI
Gomilko, Oleksandr; Karp, Dmitry B.; Lin, Minghua; Ziȩtak, Krystyna Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root. (English) Zbl 1251.65057 J. Comput. Appl. Math. 236, No. 17, 4410-4420 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 33F05 15A24 65F10 41A21 15A16 PDF BibTeX XML Cite \textit{O. Gomilko} et al., J. Comput. Appl. Math. 236, No. 17, 4410--4420 (2012; Zbl 1251.65057) Full Text: DOI
Brezinski, C.; Novati, P.; Redivo-Zaglia, M. A rational Arnoldi approach for ill-conditioned linear systems. (English) Zbl 1254.65051 J. Comput. Appl. Math. 236, No. 8, 2063-2077 (2012). Reviewer: Martin Reißel (Aachen) MSC: 65F22 65F10 65F35 PDF BibTeX XML Cite \textit{C. Brezinski} et al., J. Comput. Appl. Math. 236, No. 8, 2063--2077 (2012; Zbl 1254.65051) Full Text: DOI
Greco, Federico; Iannazzo, Bruno; Poloni, Federico The Padé iterations for the matrix sign function and their reciprocals are optimal. (English) Zbl 1233.65037 Linear Algebra Appl. 436, No. 3, 472-477 (2012). Reviewer: Alyson Reeves (Bowie) MSC: 65H04 65F30 65E05 41A21 30C15 PDF BibTeX XML Cite \textit{F. Greco} et al., Linear Algebra Appl. 436, No. 3, 472--477 (2012; Zbl 1233.65037) Full Text: DOI arXiv
Zúñiga-Anaya, Juan C. Structural properties of polynomial and rational matrices, a survey. (English) Zbl 1308.15020 Math. Aeterna 1, No. 6, 361-403 (2011). MSC: 15A54 15A18 15A21 13P10 PDF BibTeX XML Cite \textit{J. C. Zúñiga-Anaya}, Math. Æterna 1, No. 6, 361--403 (2011; Zbl 1308.15020)
Bitmead, Robert R. Finding real rational weighting functions for robust control analysis and design; connections to boundary interpolation and circuit synthesis. (English) Zbl 1271.93041 Commun. Inf. Syst. 11, No. 2, 153-172 (2011). MSC: 93B20 94C05 93D09 PDF BibTeX XML Cite \textit{R. R. Bitmead}, Commun. Inf. Syst. 11, No. 2, 153--172 (2011; Zbl 1271.93041) Full Text: DOI
Varga, Andras On computing minimal proper nullspace bases with applications in fault detection. (English) Zbl 1251.65062 Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 433-465 (2011). MSC: 65F30 15A54 15A03 94A13 PDF BibTeX XML Cite \textit{A. Varga}, Lect. Notes Electr. Eng. 80, 433--465 (2011; Zbl 1251.65062) Full Text: DOI
Katori, M.; Tanemura, H. Markov property of determinantal processes with extended Sine, Airy and Bessel kernels. (English) Zbl 1259.82065 Markov Process. Relat. Fields 17, No. 4, 541-580 (2011). MSC: 82C22 60G55 15B52 30C15 47D07 60J65 PDF BibTeX XML Cite \textit{M. Katori} and \textit{H. Tanemura}, Markov Process. Relat. Fields 17, No. 4, 541--580 (2011; Zbl 1259.82065)
Demiralp, Metin Fluctuation expansion for a univariate function’s matrix representation. (English) Zbl 1244.65073 TWMS J. Pure Appl. Math. 2, No. 2, 176-193 (2011). Reviewer: Costică Moroşanu (Iaşi) MSC: 65J05 46E20 41A20 41A55 47A67 PDF BibTeX XML Cite \textit{M. Demiralp}, TWMS J. Pure Appl. Math. 2, No. 2, 176--193 (2011; Zbl 1244.65073)
Ito, Naoharu; Küstner, Reinhold; Wimmer, Harald K. Self-inversive matrix polynomials with semisimple spectrum on the unit circle. (English) Zbl 1235.15008 Oper. Matrices 5, No. 3, 495-503 (2011). Reviewer: Michal Zajac (Bratislava) MSC: 15A18 26C10 30C15 15A54 39A06 15A60 PDF BibTeX XML Cite \textit{N. Ito} et al., Oper. Matrices 5, No. 3, 495--503 (2011; Zbl 1235.15008) Full Text: DOI Link
Sakaguchi, Fuminori; Hayashi, Masahito General theory for integer-type algorithm for higher order differential equations. (English) Zbl 1229.65144 Numer. Funct. Anal. Optim. 32, No. 5, 541-582 (2011). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L99 42C15 65L60 34A45 PDF BibTeX XML Cite \textit{F. Sakaguchi} and \textit{M. Hayashi}, Numer. Funct. Anal. Optim. 32, No. 5, 541--582 (2011; Zbl 1229.65144) Full Text: DOI arXiv
Ham, Yoonmee; Lee, Sang-Gu; Phong, Vu Quoc Characterization of the determinant of a Laguerre matrix. (English) Zbl 1221.15041 J. Appl. Math. Comput. 36, No. 1-2, 233-239 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B05 30C15 65H05 65E05 PDF BibTeX XML Cite \textit{Y. Ham} et al., J. Appl. Math. Comput. 36, No. 1--2, 233--239 (2011; Zbl 1221.15041) Full Text: DOI
Sidje, Roger B.; Saad, Yousef Rational approximation to the Fermi-Dirac function with applications in density functional theory. (English) Zbl 1211.65026 Numer. Algorithms 56, No. 3, 455-479 (2011). MSC: 65D20 81Q05 65F05 33E20 33F05 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{Y. Saad}, Numer. Algorithms 56, No. 3, 455--479 (2011; Zbl 1211.65026) Full Text: DOI
Garrappa, Roberto; Popolizio, Marina On the use of matrix functions for fractional partial differential equations. (English) Zbl 1210.65162 Math. Comput. Simul. 81, No. 5, 1045-1056 (2011). MSC: 65M20 35R11 35F40 PDF BibTeX XML Cite \textit{R. Garrappa} and \textit{M. Popolizio}, Math. Comput. Simul. 81, No. 5, 1045--1056 (2011; Zbl 1210.65162) Full Text: DOI
Jagels, Carl; Reichel, Lothar Recursion relations for the extended Krylov subspace method. (English) Zbl 1211.65039 Linear Algebra Appl. 434, No. 7, 1716-1732 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F10 65F30 PDF BibTeX XML Cite \textit{C. Jagels} and \textit{L. Reichel}, Linear Algebra Appl. 434, No. 7, 1716--1732 (2011; Zbl 1211.65039) Full Text: DOI
Cheon, Gi-Sang; Kim, Hana; Shapiro, Louis W. The hitting time subgroup, Łukasiewicz paths and Faber polynomials. (English) Zbl 1230.05020 Eur. J. Comb. 32, No. 1, 82-91 (2011). MSC: 05A15 05A05 20H25 30C10 PDF BibTeX XML Cite \textit{G.-S. Cheon} et al., Eur. J. Comb. 32, No. 1, 82--91 (2011; Zbl 1230.05020) Full Text: DOI
Druskin, Vladimir; Lieberman, Chad; Zaslavsky, Mikhail On adaptive choice of shifts in rational Krylov subspace reduction of evolutionary problems. (English) Zbl 1221.65255 SIAM J. Sci. Comput. 32, No. 5, 2485-2496 (2010). MSC: 65M60 41A05 41A20 86-08 65F30 PDF BibTeX XML Cite \textit{V. Druskin} et al., SIAM J. Sci. Comput. 32, No. 5, 2485--2496 (2010; Zbl 1221.65255) Full Text: DOI
Wimmer, Harald K. Discrete-time stability of a class of Hermitian polynomial matrices with positive semidefinite coefficients. (English) Zbl 1215.15023 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 409-414 (2010). MSC: 15A54 30C15 39A06 39A30 PDF BibTeX XML Cite \textit{H. K. Wimmer}, in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 409--414 (2010; Zbl 1215.15023)
Wu, Gang; Wei, Yimin On analysis of projection methods for rational function approximation to the matrix exponential. (English) Zbl 1210.65096 SIAM J. Numer. Anal. 48, No. 1, 191-197 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F10 15A16 PDF BibTeX XML Cite \textit{G. Wu} and \textit{Y. Wei}, SIAM J. Numer. Anal. 48, No. 1, 191--197 (2010; Zbl 1210.65096) Full Text: DOI
Fritzsche, Bernd; Katsnelson, Victor; Kirstein, Bernd The Schur algorithm in terms of system realizations. (English) Zbl 1213.47010 Alpay, Daniel (ed.) et al., Characteristic functions, scattering functions and transfer functions. The Moshe Livsic memorial volume. Basel: Birkhäuser (ISBN 978-3-0346-0182-5/hbk; 978-3-0346-0183-2/ebook). Operator Theory: Advances and Applications 197, 181-250 (2010). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A48 47A57 47N70 93B28 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., Oper. Theory: Adv. Appl. 197, 181--250 (2010; Zbl 1213.47010) Full Text: arXiv
Lin, Fu-Rong; Ng, Michael K. Inverse product Toeplitz preconditioners for non-Hermitian Toeplitz systems. (English) Zbl 1195.65034 Numer. Algorithms 54, No. 2, 279-295 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F08 PDF BibTeX XML Cite \textit{F.-R. Lin} and \textit{M. K. Ng}, Numer. Algorithms 54, No. 2, 279--295 (2010; Zbl 1195.65034) 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 PDF BibTeX XML Cite \textit{A. C. M. Ran} and \textit{L. X. Rodman}, Electron. J. Linear Algebra 20, 126--135 (2010; Zbl 1191.15002) Full Text: DOI EMIS EuDML
Alpay, Daniel; Dijksma, Aad; Langer, Heinz; Reich, Simeon; Shoikhet, David Boundary interpolation and rigidity for generalized Nevanlinna functions. (English) Zbl 1210.47040 Math. Nachr. 283, No. 3, 335-364 (2010). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A57 30E05 47B32 46C20 30D30 15B05 PDF BibTeX XML Cite \textit{D. Alpay} et al., Math. Nachr. 283, No. 3, 335--364 (2010; Zbl 1210.47040) Full Text: DOI
Moret, Igor Rational Lanczos approximations to the matrix square root and related functions. (English) Zbl 1224.65124 Numer. Linear Algebra Appl. 16, No. 6, 431-445 (2009). Reviewer: J. Duintjer Tebbens (Newton) MSC: 65F60 15A16 15A24 65F30 PDF BibTeX XML Cite \textit{I. Moret}, Numer. Linear Algebra Appl. 16, No. 6, 431--445 (2009; Zbl 1224.65124) Full Text: DOI
Laszkiewicz, Beata; Ziȩtak, Krystyna A Padé family of iterations for the matrix sector function and the matrix \(p\)th root. (English) Zbl 1224.65123 Numer. Linear Algebra Appl. 16, No. 11-12, 951-970 (2009). MSC: 65F60 15A16 15A24 65F30 PDF BibTeX XML Cite \textit{B. Laszkiewicz} and \textit{K. Ziȩtak}, Numer. Linear Algebra Appl. 16, No. 11--12, 951--970 (2009; Zbl 1224.65123) Full Text: DOI
Beckermann, Bernhard; Reichel, Lothar Error estimates and evaluation of matrix functions via the Faber transform. (English) Zbl 1204.65041 SIAM J. Numer. Anal. 47, No. 5, 3849-3883 (2009). MSC: 65F30 65F50 15A16 PDF BibTeX XML Cite \textit{B. Beckermann} and \textit{L. Reichel}, SIAM J. Numer. Anal. 47, No. 5, 3849--3883 (2009; Zbl 1204.65041) Full Text: DOI
Druskin, Vladimir; Knizhnerman, Leonid; Zaslavsky, Mikhail Solution of large scale evolutionary problems using rational Krylov subspaces with optimized shifts. (English) Zbl 1204.65042 SIAM J. Sci. Comput. 31, No. 5, 3760-3780 (2009). MSC: 65F30 15A16 65F10 78A25 35Q61 65M06 PDF BibTeX XML Cite \textit{V. Druskin} et al., SIAM J. Sci. Comput. 31, No. 5, 3760--3780 (2009; Zbl 1204.65042) Full Text: DOI
Oară, Cristian; Sabău, Şerban All doubly coprime factorizations of a general rational matrix. (English) Zbl 1191.15011 Automatica 45, No. 8, 1960-1964 (2009). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 93B17 93B25 15A54 PDF BibTeX XML Cite \textit{C. Oară} and \textit{Ş. Sabău}, Automatica 45, No. 8, 1960--1964 (2009; Zbl 1191.15011) Full Text: DOI
Lin, Lin; Lu, Jianfeng; Ying, Lexing; Weinan, E. Pole-based approximation of the Fermi-Dirac function. (English) Zbl 1188.41007 Chin. Ann. Math., Ser. B 30, No. 6, 729-742 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A20 65F30 PDF BibTeX XML Cite \textit{L. Lin} et al., Chin. Ann. Math., Ser. B 30, No. 6, 729--742 (2009; Zbl 1188.41007) Full Text: DOI arXiv
Dzhamay, Anton Factorizations of rational matrix functions with application to discrete isomonodromic transformations and difference Painlevé equations. (English) Zbl 1181.15016 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454008, 10 p. (2009). Reviewer: Ondřej Došlý (Brno) MSC: 15A23 39A10 37K20 39A12 34M55 15A54 PDF BibTeX XML Cite \textit{A. Dzhamay}, J. Phys. A, Math. Theor. 42, No. 45, Article ID 454008, 10 p. (2009; Zbl 1181.15016) Full Text: DOI arXiv
Kublanovskaya, V. N.; Khazanov, V. B. To solving problems of algebra for two-parameter matrices. III. (English. Russian original) Zbl 1177.65059 J. Math. Sci., New York 157, No. 5, 761-783 (2009); translation from Zap. Nauchn. Semin. POMI 359, 166-207 (2008). MSC: 65F15 65F30 15A23 15A54 65H10 PDF BibTeX XML Cite \textit{V. N. Kublanovskaya} and \textit{V. B. Khazanov}, J. Math. Sci., New York 157, No. 5, 761--783 (2009; Zbl 1177.65059); translation from Zap. Nauchn. Semin. POMI 359, 166--207 (2008) Full Text: DOI
Kublanovskaya, V. N. To solving problems of algebra for two-parameter matrices. I. (English. Russian original) Zbl 1177.65057 J. Math. Sci., New York 157, No. 5, 731-752 (2009); translation from Zap. Nauchn. Semin. POMI 359, 107-149 (2008). MSC: 65F15 65F30 65H10 15A23 15A54 PDF BibTeX XML Cite \textit{V. N. Kublanovskaya}, J. Math. Sci., New York 157, No. 5, 731--752 (2009; Zbl 1177.65057); translation from Zap. Nauchn. Semin. POMI 359, 107--149 (2008) Full Text: DOI
Ismagilov, R. S.; Lyubich, Yu. I. Family of quaternion norms with isometry group \(\mathbb Z_{2}\) in general position. (English. Russian original) Zbl 1181.15021 Math. Notes 86, No. 2, 282-285 (2009); translation from Mat. Zametki 86, No. 2, 310-313 (2009). Reviewer: Sheng Chen (Harbin) MSC: 15B33 15A60 PDF BibTeX XML Cite \textit{R. S. Ismagilov} and \textit{Yu. I. Lyubich}, Math. Notes 86, No. 2, 282--285 (2009; Zbl 1181.15021); translation from Mat. Zametki 86, No. 2, 310--313 (2009) Full Text: DOI
Oară, Cristian; Sabău, Şerban Minimal indices cancellation and rank revealing factorizations for rational matrix functions. (English) Zbl 1179.15013 Linear Algebra Appl. 431, No. 10, 1785-1814 (2009). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15A54 PDF BibTeX XML Cite \textit{C. Oară} and \textit{Ş. Sabău}, Linear Algebra Appl. 431, No. 10, 1785--1814 (2009; Zbl 1179.15013) Full Text: DOI
Jagels, Carl; Reichel, Lothar The extended Krylov subspace method and orthogonal Laurent polynomials. (English) Zbl 1166.65019 Linear Algebra Appl. 431, No. 3-4, 441-458 (2009). MSC: 65F30 15A54 65F50 PDF BibTeX XML Cite \textit{C. Jagels} and \textit{L. Reichel}, Linear Algebra Appl. 431, No. 3--4, 441--458 (2009; Zbl 1166.65019) Full Text: DOI