COMPUTATION OF SYSTEM BALANCING TRANSFORMATIONS AND OTHER APPLICATIONS OF SIMULTANEOUS DIAGONALIZATION ALGORITHMS

被引:356
作者
LAUB, AJ
HEATH, MT
PAIGE, CC
WARD, RC
机构
[1] OAK RIDGE NATL LAB,DIV ENGN PHYS & MATH,MATH & STAT RES SECT,OAK RIDGE,TN 37830
[2] MCGILL UNIV,SCH COMP SCI,MONTREAL H3A 2K6,QUEBEC,CANADA
关键词
D O I
10.1109/TAC.1987.1104549
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
引用
收藏
页码:115 / 122
页数:8
相关论文
共 29 条
[1]  
[Anonymous], 1979, LINPACK User's Guide
[2]   ALGORITHM - SOLUTION OF MATRIX EQUATION AX+XB = C [J].
BARTELS, RH ;
STEWART, GW .
COMMUNICATIONS OF THE ACM, 1972, 15 (09) :820-&
[3]  
BOCHER M, 1907, INTRO HIGHER ALGEBRA, P108
[4]  
ENNS D, 1984, THESIS STANFORD U ST
[6]   ON THE CROSS-GRAMIAN FOR SYMMETRIC MIMO SYSTEMS [J].
FERNANDO, KV ;
NICHOLSON, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (05) :487-489
[7]   MINIMALITY OF SISO LINEAR-SYSTEMS [J].
FERNANDO, KV ;
NICHOLSON, H .
PROCEEDINGS OF THE IEEE, 1982, 70 (10) :1241-1242
[8]   ALL OPTIMAL HANKEL-NORM APPROXIMATIONS OF LINEAR-MULTIVARIABLE SYSTEMS AND THEIR L INFINITY-ERROR BOUNDS [J].
GLOVER, K .
INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1115-1193
[9]  
Gohberg I. C., 1969, TRANSL MATH MONO, V18
[10]   NUMERICAL-SOLUTION OF THE STABLE, NONNEGATIVE DEFINITE LYAPUNOV EQUATION [J].
HAMMARLING, SJ .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1982, 2 (03) :303-323