JACOBI METHOD FOR SKEW-SYMMETRICAL MATRICES

被引：18

作者：

HACON, D

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1993年 / 14卷 / 03期

关键词：

JACOBI; QUATERNIONS;

D O I：

10.1137/0614043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Jacobi-type method is given for reducing real skew-symmetric matrices to real Schur form. 4 x 4 rotations are used to reduce the ''off-diagonal'' part of the matrix. Asymptotic quadratic convergence is established for the special cyclic method, provided the eigenvalues are distinct.

引用

页码：619 / 628

页数：10

共 50 条

[21] TOPOLOGY OF SPACE OF REACHABLE SKEW-SYMMETRICAL HAMILTONIAN LINEAR-SYSTEMS
PHAN, NH
ANNALES DE L INSTITUT FOURIER, 1994, 44 (03) : 967 - 985
[22] EXACT CONTROLLABILITY FOR LINEAR DYNAMIC-SYSTEMS WITH SKEW-SYMMETRICAL OPERATORS
BENSOUSSAN, A
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 178 : 27 - 36
[23] ORTHOGONALLY INVARIANT ESTIMATION OF THE SKEW-SYMMETRICAL NORMAL-MEAN MATRIX
KURIKI, S
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1993, 45 (04) : 731 - 739
[24] STATISTICAL-MECHANICS OF LOW AUTOCORRELATION SKEW-SYMMETRICAL BINARY SEQUENCES
DEGROOT, C
WURTZ, D
HELVETICA PHYSICA ACTA, 1991, 64 (01): : 86 - 91
[25] A SIMPLE AUGMENTED JACOBI METHOD FOR HERMITIAN AND SKEW-HERMITIAN MATRICES
Min, Chohong
Lee, Soojoon
Kim, Se-Goo
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (03): : 185 - 199
[26] A MATRIX PAIR OF AN ALMOST DIAGONAL SKEW-SYMMETRICAL MATRIX AND A SYMMETRICAL POSITIVE-DEFINITE MATRIX
HARI, V
RHEE, NH
LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 195 : 117 - 144
[27] KLOOSTERMAN INTEGRALS FOR SKEW SYMMETRICAL MATRICES
JACQUET, H
RALLIS, S
PACIFIC JOURNAL OF MATHEMATICS, 1992, 154 (02) : 265 - 283
[28] HAMILTONIAN PAIRS ASSOCIATED WITH SKEW-SYMMETRICAL KILLING TENSORS ON SPACES OF CONSTANT CURVATURE
MOKHOV, OI
FERAPONTOV, EV
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1994, 28 (02) : 123 - 125
[29] FILTRATIONS OF 2-ELEMENTARY FORMS AND INVOLUTIONS OF INTEGRAL SYMMETRICAL AND SKEW-SYMMETRICAL BILINEAR-FORMS
NIKULIN, VV
MATHEMATICS OF THE USSR-IZVESTIYA, 1985, 49 (04): : 159 - 182
[30] PENCILS OF COMPLEX AND REAL SYMMETRICAL AND SKEW MATRICES
THOMPSON, RC
LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 147 : 323 - 371

← 1 2 3 4 5 →