ALGORITHM FOR GENERALIZED MATRIX EIGENVALUE PROBLEMS

被引:715
作者
MOLER, CB
STEWART, GW
机构
[1] UNIV NEW MEXICO,DEPT MATH,ALBUQUERQUE,NM 87106
[2] CARNEGIE MELLON UNIV,DEPT COMP,PITTSBURGH,PA 15213
[3] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213
关键词
D O I
10.1137/0710024
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:241 / 256
页数:16
相关论文
共 13 条
[1]   REDUCTION OF A BAND-SYMMETRIC GENERALIZED EIGEN-VALUE PROBLEM [J].
CRAWFORD, CR .
COMMUNICATIONS OF THE ACM, 1973, 16 (01) :41-44
[2]  
CRAWFORD CR, 1970, THESIS U MICHIGAN
[3]   ALGORITHM 405 ROOTS OF MATRIX PENCILS - GENERALIZED EIGENVALUE PROBLEM [F2] [J].
DELL, AM ;
WEIL, RL ;
THOMPSON, GL .
COMMUNICATIONS OF THE ACM, 1971, 14 (02) :113-&
[4]   ALGORITHM FOR ILL-CONDITIONED GENERALIZED EIGENVALUE PROBLEM [J].
FIX, G ;
HEIBERGE.R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1972, 9 (01) :78-&
[5]   THE QR TRANSFORMATION .2. [J].
FRANCIS, JGF .
COMPUTER JOURNAL, 1962, 4 (04) :332-345
[6]   UNITARY TRIANGULARIZATION OF A NONSYMMETRIC MATRIX [J].
HOUSEHOLDER, AS .
JOURNAL OF THE ACM, 1958, 5 (04) :339-342
[7]   SIMILARITY REDUCTION OF A GENERAL MATRIX TO HESSENBERG FORM [J].
MARTIN, RS ;
WILKINSO.JH .
NUMERISCHE MATHEMATIK, 1968, 12 (05) :349-&
[8]   HANDBOOK SERIES LINEAR ALGEBRA - REDUCTION OF SYMMETRIC EIGENPROBLEM AX=LAMBDABX AND RELATED PROBLEMS TO STANDARD FORM [J].
MARTIN, RS ;
WILKINSO.JH .
NUMERISCHE MATHEMATIK, 1968, 11 (02) :99-&
[9]  
MOLER CB, 1972, SIAM J NUMER ANAL, V9, P669
[10]   EIGENVECTORS OF REAL AND COMPLEX MATRICES BY LR AND QR TRIANGULARIZATIONS [J].
PETERS, G ;
WILKINSO.JH .
NUMERISCHE MATHEMATIK, 1970, 16 (03) :181-&