Inversion formulas for infinite generalized Toeplitz matrices

被引：0
|
作者：
Robert L. Ellis
Israel Gohberg
机构：
[1] University of Maryland,Department of Mathematics
[2] Tel Aviv University,Raymond and Beverly Sackler Faculty of Exact Sciences
来源：
Integral Equations and Operator Theory | 1998年 / 32卷
关键词：
47B35; 45E05; 47G10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
“Inversion formulas are obtained for a certain class of infinite matrices that possess displacement structure similar to that of finite block Toeplitz matrices. Consequences are symmetric inversion formulas for matrix-valued singular integral operators and infinite Toeplitz plus Hankel matrices”.
引用
收藏
页码：29 / 64
页数：35
相关论文
共 50 条
  • [31] INVERSION OF CERTAIN INFINITE MATRICES
    KNOPP, U
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1977, 291 : 30 - 43
  • [32] On the inversion of infinite moment matrices
    Escribano, C.
    Gonzalo, R.
    Torrano, E.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 475 : 292 - 305
  • [33] Infinite Toeplitz and Laurent matrices with localized impurities
    Böttcher, A
    Embree, M
    Sokolov, VI
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 343 : 101 - 118
  • [34] On the Singular Values of Generalized Toeplitz Matrices
    Bin Shao
    [J]. Integral Equations and Operator Theory, 2004, 49 : 239 - 254
  • [35] GENERALIZED INVERTIBILITY OF HANKEL AND TOEPLITZ MATRICES
    GOUVEIA, MC
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 193 : 95 - 106
  • [36] GENERALIZED COPRIME SAMPLING OF TOEPLITZ MATRICES
    Qin, Si
    Zhang, Yimin D.
    Amin, Moeness G.
    Zoubir, Abdelhak
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING PROCEEDINGS, 2016, : 4468 - 4472
  • [37] GENERALIZED PASCAL TRIANGLES AND TOEPLITZ MATRICES
    Moghaddamfar, A. R.
    Pooya, S. M. H.
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 564 - 588
  • [38] On the singular values of generalized Toeplitz matrices
    Shao, B
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 49 (02) : 239 - 254
  • [39] INVERSION OF PERSYMMETRIC MATRICES HAVING TOEPLITZ INVERSES
    HUANG, NM
    CLINE, RE
    [J]. JOURNAL OF THE ACM, 1972, 19 (03) : 437 - &
  • [40] A fast algorithm for the inversion of block Toeplitz matrices
    Davis, G
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (12) : 3022 - 3025
12345