Found 52 Documents (Results 1–52)
The bisection eigenvalue method for unitary Hessenberg matrices via their quasiseparable structure. (English) Zbl 1522.65048
Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix. (English) Zbl 1433.65040
Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices. (English) Zbl 1420.65045
Efficient solution of parameter-dependent quasiseparable systems and computation of meromorphic matrix functions. (English) Zbl 1524.15002
Reviewer: Juan Ramón Torregrosa Sánchez (València)
On the sensitivity of generators for the QR factorization of quasiseparable matrices with total nonpositivity. (English) Zbl 1392.65095
Time and space efficient generators for quasiseparable matrices. (English) Zbl 1381.65035
MSC:
65F30
65F15
A fast Schur-Euclid-type algorithm for quasiseparable polynomials. (English) Zbl 1396.13028
Kotsireas, Ilias S. (ed.) et al., Applications of computer algebra, Kalamata, Greece, July 20–23, 2015. Cham: Springer (ISBN 978-3-319-56930-7/hbk; 978-3-319-56932-1/ebook). Springer Proceedings in Mathematics & Statistics 198, 341-383 (2017).
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. (English) Zbl 1372.65122
Comparison results for proper nonnegative splittings of matrices. (English) Zbl 1360.65097
Reviewer: Constantin Popa (Constanţa)
Decay bounds for the numerical quasiseparable preservation in matrix functions. (English) Zbl 1352.15011
Computing with quasiseparable matrices. (English) Zbl 1360.65128
Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 389-396 (2016).
Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices. (English) Zbl 1360.65133
Reviewer: Constantin Popa (Constanţa)
Structured eigenvalue condition numbers for parameterized quasiseparable matrices. (English) Zbl 1364.65084
Reviewer: Liu Xinguo (Qingdao)
Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications. (English) Zbl 1338.65098
LU factorization for matrices in quasiseparable form via orthogonal transformations. (English) Zbl 1336.65026
The fast bisection eigenvalue method for Hermitian order one quasiseparable matrices and computations of norms. (English) Zbl 1332.65049
The spectral connection matrix for any change of basis within the classical real orthogonal polynomials. (English) Zbl 1330.65064
The spectral connection matrix for classical orthogonal polynomials of a single parameter. (English) Zbl 1294.65044
Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method. (English) Zbl 1280.65034
Reviewer: Constantin Popa (Constanţa)
Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms. (English) Zbl 1280.65027
Operator Theory: Advances and Applications 234. Basel: Birkhäuser (ISBN 978-3-0348-0605-3/hbk; 978-3-0348-0606-0/ebook; 978-3-0348-0728-9/set). xv, 399 p. (2014).
Reviewer: Constantin Popa (Constanţa)
Nested product decomposition of quasiseparable matrices. (English) Zbl 1305.65111
Reviewer: Adhemar Bultheel (Leuven)
Fast inversion of polynomial-Vandermonde matrices for polynomial systems related to order one quasiseparable matrices. (English) Zbl 1281.65050
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, 79-106 (2013).
Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices. (English) Zbl 1279.65033
Reviewer: Martin Plešinger (Liberec)
Implicit QR with compression. (English) Zbl 1266.65059
Reviewer: Ludwig Elsner (Bielefeld)
MSC:
65F15
Representation of quasiseparable matrices using excluded sums and equivalent charges. (English) Zbl 1229.65069
Classifications of recurrence relations via subclasses of \((H, m)\)-quasiseparable matrices. (English) Zbl 1251.39001
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, 23-53 (2011).
Reprint of: A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1210.15034
A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1215.15014
Linear Algebra Appl. 434, No. 4, 957-976 (2011); erratum ibid. 434, No. 7, I (2011).
Reviewer: Rodica Covaci (Cluj-Napoca)
A Traub-like algorithm for Hessenberg-quasi-separable-Vandermonde matrices of arbitrary order. (English) Zbl 1364.65065
Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 127-154 (2010).
Signal flow graph approach to inversion of \((H,m)\)-quasiseparable-Vandermonde matrices and new filter structures. (English) Zbl 1195.65028
Reviewer: Drahoslava Janovská (Praha)
A fast implicit QR eigenvalue algorithm for companion matrices. (English) Zbl 1188.65039
Reviewer: Constantin Popa (Constanţa)
A fast Björck-Pereyra-type algorithm for solving Hessenberg-quasiseparable-Vandermonde systems. (English) Zbl 1197.65031
Reviewer: R. P. Tewarson (Stony Brook)
Out-of-band quasiseparable matrices. (English) Zbl 1144.65018
Reviewer: R. Militaru (Craiova)
Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations. (English) Zbl 1139.65026
Matrix computations and semiseparable matrices. Vol. 1: Linear systems. (English) Zbl 1141.65019
Baltimore, MD: Johns Hopkins University Press (ISBN 978-0-8018-8714-7/hbk). xviii, 575 p. (2008).
Reviewer: Dietrich Braess (Bochum)
Fast QR factorization of Cauchy-like matrices. (English) Zbl 1130.65059
Reviewer: Răzvan Răducanu (Iaşi)
MSC:
65F30
65F18
The unitary completion and QR iterations for a class of structured matrices. (English) Zbl 1141.65025
Reviewer: Keehwan Kim (Kyongsan)
Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices. (English) Zbl 1147.65031
Reviewer: Liu Xinguo (Qingdao)
MSC:
65F15
On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms. (English) Zbl 1113.65038
Reviewer: Amin Boumenir (Carrollton)
Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations. (English) Zbl 1079.65037
Reviewer: Amin Boumenir (Carrollton)
MSC:
65F15
Fast inversion algorithms for a class of block structured matrices. (English) Zbl 1004.65038
Olshevsky, V. (ed.), Structured matrices in mathematics, computer science, and engineering II. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27-July 1, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 281, 17-38 (2001).
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