ASYMPTOTICALLY FAST SOLUTION OF TOEPLITZ AND RELATED SYSTEMS OF LINEAR-EQUATIONS

被引:177
作者
BITMEAD, RR [1 ]
ANDERSON, BDO [1 ]
机构
[1] UNIV NEWCASTLE,DEPT ELECT ENGN,NEWCASTLE,NSW 2308,AUSTRALIA
关键词
D O I
10.1016/0024-3795(80)90161-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:103 / 116
页数:14
相关论文
共 27 条
[1]  
Aho A. V., 1974, DESIGN ANAL COMPUTER
[2]   BLOCK TOEPLITZ MATRIX INVERSION [J].
AKAIKE, H .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (02) :234-241
[3]   GREATEST COMMON DIVISORS VIA GENERALIZED SYLVESTER AND BEZOUT MATRICES [J].
BITMEAD, RR ;
KAILATH, T ;
KUNG, SY ;
ANDERSON, BDO .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (06) :1043-1047
[4]  
BRENT RP, 1980, RC817334952 IBM RES
[5]  
CHIN F, 1975, 12TH P ALL C CIRC SY, P120
[6]  
CYBENKO G, 1979, APR P INT C AC SPEEC
[7]   EFFICIENT SOLUTION OF LINEAR EQUATIONS WITH BANDED TOEPLITZ MATRICES [J].
DICKINSON, BW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1979, 27 (04) :421-423
[8]   SOLUTION OF LINEAR-EQUATIONS WITH RATIONAL TOEPLITZ MATRICES [J].
DICKINSON, BW .
MATHEMATICS OF COMPUTATION, 1980, 34 (149) :227-233
[9]   EXTENDED LEVINSON AND CHANDRASEKHAR EQUATIONS FOR GENERAL DISCRETE-TIME LINEAR-ESTIMATION PROBLEMS [J].
FRIEDLANDER, B ;
KAILATH, T ;
MORF, M ;
LJUNG, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (04) :653-659
[10]   NEW INVERSION FORMULAS FOR MATRICES CLASSIFIED IN TERMS OF THEIR DISTANCE FROM TOEPLITZ MATRICES [J].
FRIEDLANDER, B ;
MORF, M ;
KAILATH, T ;
LJUNG, L .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 27 (OCT) :31-60