A theorem on an Omega-matrix which is a generalization of the P-matrix

被引:0
|
作者
Nishi, T
机构
关键词
Omega-matrix; number of solutions; resistive circuit; P-matrix;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The author once defined the Omega-matrix and showed that it played an important role for estimating the number of solutions of a resistive circuit containing active elements such as CCCS's. The Omega-matrix is a generalization of the well-known P-matrix. This paper gives the necessary and sufficient conditions for the Omega-matrix.
引用
收藏
页码:1522 / 1529
页数:8
相关论文
共 50 条
  • [1] THE OMEGA-MATRIX
    LANGSEN, AL
    LOWENTHAL, F
    [J]. MANAGERIAL AND DECISION ECONOMICS, 1989, 10 (02) : 155 - 158
  • [2] LOCALIZATION OF THE SPECTRA OF P-MATRIX AND P-MATRIX
    HERSHKOWITZ, D
    BERMAN, A
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 52-3 (JUL) : 383 - 397
  • [3] NOTES ON OMEGA-MATRIX AND TAU-MATRIX
    HERSHKOWITZ, D
    BERMAN, A
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 58 (APR) : 169 - 183
  • [4] The structure of Omega-matrix in nonlinear filters
    Yau, SST
    Rasoulian, A
    [J]. PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 1083 - 1087
  • [5] P-matrix powers
    Mondal, Samir
    Sivakumar, K. C.
    Tsatsomeros, M. J.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 699 : 355 - 366
  • [6] Explicit proof of an inequality related to the Omega-matrix
    Nishi, Tetsuo
    Oishi, Shin'ichi
    Takahashi, Norikazu
    [J]. IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2013, 4 (04): : 430 - 450
  • [7] Criterion of P-Matrix
    Zhao, Xue
    Pang, Mingxian
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 318 - 320
  • [8] The Lucas p-matrix
    Kuhapatanakul, Kantaphon
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2015, 46 (08) : 1228 - 1234
  • [9] EXAMINING THE P-MATRIX
    CRAWFORD, GA
    MILLER, GA
    [J]. PHYSICAL REVIEW D, 1987, 35 (05): : 1707 - 1712
  • [10] Criterion of P-matrix
    Zhao, Xue
    Pang, Mingxian
    [J]. ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 461 - 463