1.

Record Nr.

UNINA9910480214303321

Autore

Olshevsky Vadim

Titolo

Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]]

Pubbl/distr/stampa

Providence, : American Mathematical Society, 2001

ISBN

0-8218-7871-9

0-8218-2092-3

Descrizione fisica

1 online resource (362 p.)

Collana

Contemporary Mathematics ; ; v.281

Disciplina

512.9/434

Soggetti

Matrices -- Congresses

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

""Contents""; ""Foreword""; ""Part V. Fast Algorithms""; ""The Schur algorithm for matrices with Hessenberg displacement structure""; ""Fast inversion algorithms for a class of block structured matrices""; ""A fast and stable solver for recursively semi-separable systems of linear equations""; ""Part VI. Numerical Issues""; ""Stability properties of several variants of the unitary Hessenberg QR algorithm""; ""Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems""; ""Stability of Toeplitz matrix inversion formulas""

""Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices""""Updating and downdating of orthonormal polynomial vectors and some applications""; ""Rank-revealing decompositions of symmetric Toeplitz matrices""; ""Part VII. Iterative Methods. Preconditioners""; ""A survey of preconditioners for ill-conditioned Toeplitz systems""; ""Preconditioning of Hermitian block�Toeplitz�Toeplitz�block matrices by level�1 preconditioners""; ""Part VIII. Linear Algebra and Various Applications""

""A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices""""The rhombus matrix: Definition and properties""