FAST AND STABLE ALGORITHMS FOR COMPUTING THE PRINCIPAL NTH ROOT OF A COMPLEX MATRIX AND THE MATRIX SECTOR FUNCTION

被引：34

作者：

TSAI, JSH ^{[1
]}

SHIEH, LS ^{[1
]}

YATES, RE ^{[1
]}

机构：

[1] USA,RES & DEV COMMAND,GUIDANCE & CONTROL DIRECTORATE,REDSTONE ARSENAL,AL 35809

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1988年 / 15卷 / 11期

关键词：

D O I：

10.1016/0898-1221(88)90034-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

收藏

页码：903 / 913

页数：11

相关论文

共 17 条

[1] BIERMAN GJ, 1984, 23RD P C DEC CONTR, P514
[2] Denman E. D., 1976, APPL MATH COMPUT, V2, P63, DOI DOI 10.1016/0096-3003(76)90020-5
[3] ROOTS OF REAL MATRICES
DENMAN, ED
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 36 (MAR) : 133 - 139
[4] COMPUTATION OF ROOTS OF REAL AND COMPLEX MATRICES
DENMAN, ED
LEYVARAMOS, J
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1985, 16 (03) : 213 - 228
[5] GARDINER JD, 1985, 24TH P C DEC CONTR, P1233
[6] NEWTON METHOD FOR THE MATRIX SQUARE ROOT
HIGHAM, NJ
[J]. MATHEMATICS OF COMPUTATION, 1986, 46 (174) : 537 - 549
[7] FASTER, MORE STABLE METHOD FOR COMPUTING THE PTH ROOTS OF POSITIVE DEFINITE MATRICES
HOSKINS, WD
WALTON, DJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 26 (AUG) : 139 - 163
[8] FASTER METHOD OF COMPUTING SQUARE ROOT OF A MATRIX
HOSKINS, WD
WALTON, DJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (03) : 494 - 495
[9] LINEAR-MODEL REDUCTION AND SOLUTION OF THE ALGEBRAIC RICCATI EQUATION BY USE OF THE SIGN FUNCTION
ROBERTS, JD
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1980, 32 (04) : 677 - 687
[10] The Generalized Matrix Sector Function and the Separation of Matrix Eigenvalues
Shieh, Leang S.
Tsai, Jason S. H.
Yates, Robert E.
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1985, 2 (03) : 251 - 258