Name: Hessenberg and Tridiagonal Matrices. Theory and Examples (en Inglés)
SKU: 67197944
Price: 333.38 PEN
Availability: InStock
Author: Gérard Meurant
ISBN: 9781611978445

portada Hessenberg and Tridiagonal Matrices. Theory and Examples (en Inglés)

Hessenberg and Tridiagonal Matrices. Theory and Examples (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Gérard Meurant

Colección

Other Titles in Applied Mathematics

Año

2025

Idioma

Inglés

N° páginas

227

Encuadernación

Tapa Blanda

ISBN13

9781611978445

Hessenberg and Tridiagonal Matrices. Theory and Examples (en Inglés)

Gérard Meurant (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Hessenberg and Tridiagonal Matrices. Theory and Examples (en Inglés)"

Explore advanced concepts for Hessenberg and tridiagonal matrices while examining determinants, LU factorizations, inverses, and eigenvalues through practical examples and numerical experiments. It also addresses unitary forms and inverse eigenvalue challenges, engaging applied mathematicians, physicists, and engineers alike.

This is the only book devoted exclusively to Hessenberg and tridiagonal matrices. Hessenberg matrices are involved in Krylov methods for solving linear systems or computing eigenvalues and eigenvectors, in the QR algorithm for computing eigenvalues, and in many other areas of scientific computing (for instance, control theory). Matrices that are both upper and lower Hessenberg are tridiagonal. Their entries are zero except for the main diagonal and the subdiagonal and updiagonal next to it.

Hessenberg and Tridiagonal Matrices: Theory and Examples presents known and new results; describes the theoretical properties of the matrices, their determinants, LU factorizations, inverses, and eigenvalues; illustrates the theoretical properties with applications and examples as well as numerical experiments; and considers unitary Hessenberg matrices, inverse eigenvalue problems, and Toeplitz tridiagonal matrices.

Audience
This book is intended for applied mathematicians, especially those interested in numerical linear algebra, and it will also be of interest to physicists and engineers.