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.
By:
Gérard Meurant Imprint: Society for Industrial & Applied Mathematics,U.S. Country of Publication: United States [Currently unable to ship to USA: see Shipping Info] ISBN:9781611978445 ISBN 10: 1611978440 Series:Other Titles in Applied Mathematics Pages: 227 Publication Date:31 July 2025 Audience:
Professional and scholarly
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Undergraduate
Format:Paperback Publisher's Status: Active