Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices

被引：0

作者：

N. Mastronardi

E. Van Camp

M. Van Barel

机构：

[1] sez. Bari Consiglio Nazionale delle Ricerche,Istituto per le Applicazioni del Calcolo, “M. Picone”

[2] Katholieke Universiteit Leuven,Department of Computer Science

来源：

Numerical Algorithms | 2005年 / 39卷

关键词：

semiseparable matrix; fast algorithms; stable algorithms; eigendecomposition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Three fast and stable divide and conquer algorithms to compute the eigendecomposition of symmetric diagonal-plus-semiseparable matrices are considered.

引用

页码：379 / 398

页数：19

共 38 条

[1] Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices
Mastronardi, N
Van Camp, E
Van Barel, M
NUMERICAL ALGORITHMS, 2005, 39 (04) : 379 - 398
[2] A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices
S. Chandrasekaran
M. Gu
Numerische Mathematik, 2004, 96 : 723 - 731
[3] A divide-and-conquer algorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices
Chandrasekaran, S
Gu, M
NUMERISCHE MATHEMATIK, 2004, 96 (04) : 723 - 731
[4] Computing the condition number of tridiagonal and diagonal-plus-semiseparable matrices in linear time
Hargreaves, GI
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2005, 27 (03) : 801 - 820
[5] Orthogonal rational functions and diagonal-plus-semiseparable matrices
Van Barel, M
Fasino, D
Gemignani, L
Mastronardi, N
ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, AND IMPLEMENTATIONS XII, 2002, 4791 : 162 - 170
[6] Direct and Inverse Eigenvalue Problems for Diagonal-Plus-Semiseparable Matrices
Dario Fasino
Luca Gemignani
Numerical Algorithms, 2003, 34 : 313 - 324
[7] Direct and inverse eigenvalue problems for diagonal-plus-semiseparable matrices
Fasino, D
Gemignani, L
NUMERICAL ALGORITHMS, 2003, 34 (2-4) : 313 - 324
[8] Rational Krylov matrices and QR steps on Hermitian diagonal-plus-semiseparable matrices
Fasino, D
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2005, 12 (08) : 743 - 754
[9] Two fast algorithms for solving diagonal-plus-semiseparable linear systems
Van Camp, E
Mastronardi, N
Van Barel, M
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 164 : 731 - 747
[10] Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal
Raf Vandebril
Ellen Van Camp
Marc Van Barel
Nicola Mastronardi
Numerische Mathematik, 2006, 102 : 709 - 726

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