Inverse scattering experiments, structured matrix inequalities, and tensor algebra

被引:6
|
作者
Constantinescu, T [1 ]
Sayed, AH
Kailath, T
机构
[1] Univ Texas, Dept Math, Richardson, TX 75083 USA
[2] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90095 USA
[3] Stanford Univ, Dept Elect Engn, Stanford, CA 94305 USA
基金
美国国家科学基金会;
关键词
scattering; displacement structure; Schur algorithm; matrix extension; matrix inequality; tensor algebra;
D O I
10.1016/S0024-3795(01)00387-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with a general matrix extension problem with structural constraints and provides a recursive solution in terms of an inverse scattering experiment. Both the stationary and nonstationary cases are considered, in addition to connections to tensor algebra. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:147 / 169
页数:23
相关论文
共 50 条
  • [41] INVERSE M-MATRIX INEQUALITIES AND GENERALIZED ULTRAMETRIC MATRICES
    MCDONALD, JJ
    NEUMANN, M
    SCHNEIDER, H
    TSATSOMEROS, MJ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 220 : 321 - 341
  • [42] New Approaches to Inverse Scattering Exploiting Synthetic Experiments
    Bevacqua, Martina
    Isernia, Tommaso
    Crocco, Lorenzo
    Di Donato, Loreto
    2014 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2014, : 872 - 873
  • [44] Two matrix inequalities involving the Moore-Penrose inverse
    不详
    ECONOMETRIC THEORY, 1998, 14 (02) : 290 - 291
  • [45] INEQUALITIES BETWEEN THE ELEMENTS OF THE MUELLER SCATTERING MATRIX - COMMENTS
    KATTAWAR, GW
    FRY, ES
    APPLIED OPTICS, 1982, 21 (01): : 18 - 18
  • [46] Inverse scattering problem for differential operators with rational scattering matrix functions
    Alpay, D
    Gohberg, I
    SINGULAR INTEGRAL OPERATORS AND RELATED TOPICS, 1996, 90 : 1 - 18
  • [47] PARALLEL STRUCTURED NETWORKS FOR SOLVING A WIDE VARIETY OF MATRIX ALGEBRA PROBLEMS
    WANG, LX
    MENDEL, JM
    JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 1992, 14 (03) : 236 - 247
  • [48] Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
    Duanmei Zhou
    Guoliang Chen
    Guoxing Wu
    Xiangyun Zhang
    Journal of Inequalities and Applications, 2013
  • [49] New inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
    Jianxing Zhao
    Caili Sang
    Feng Wang
    Journal of Inequalities and Applications, 2015
  • [50] Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
    Zhou, Duanmei
    Chen, Guoliang
    Wu, Guoxing
    Zhang, Xiangyun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,