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Constructive Characterization of Q sub 0 -Matrices with Nonnegative Principal Minors

机译：具有非负主元的Q子0 - 矩阵的构造特征

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The class of matrices with nonnegative principal minors for which the linear complementarity problem always has a solution is characterized. The main result gives a finitely testable set of necessary and sufficient conditions under which a matrix with nonnegative principal minors has the property that if a corresponding linear complementarity problem is feasible, then it is solvable. 15 refs. (ERA citation 11:030961)

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作者
Aganagic, M.; Cottle, R. W.;
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年度 1986
页码 1-16
总页数 16
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices; Numerical Solution; Optimization;

机译：矩阵;数值解;优化;

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1. Nonnegative definite hermitian matrices with increasing principal minors [J] . Shmuel Friedland Special MatricesbElectronic resource . 2013,第23期

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2. On semimonotone matrices with nonnegative principal minors [J] . Chu TH. Linear Algebra and its Applications . 2003,第0期

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3. A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices [J] . Zaslavsky BG., McDonald JJ. Linear Algebra and its Applications . 2003,第0期

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4. On the Principal Minors Assignment Problem for Skew-Symmetric Matrices [C] . R. Matoui, K. Driss International Congress of the Moroccan Applied Mathematic Society . 2019

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5. Characterizations of matrices enjoying the Perron-Frobenius property and generalizations of M-matrices which may not have nonnegative inverses. [D] . Elhashash, Abed. 2008

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6. A Comparative Study of the Application of Fluorescence Excitation-Emission Matrices Combined with Parallel Factor Analysis and Nonnegative Matrix Factorization in the Analysis of Zn Complexation by Humic Acids [O] . Patrycja Boguta, Piotr M. Pieczywek, Zofia Sokołowska 2016

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7. Nonnegative definite hermitian matrices with increasing principal minors [O] . Friedland, Shmuel 2013

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8. M-MATRICES MATRICES WITH NONPOSITIVE OFF-DIAGONAL ELEMENTS AND POSITIVE PRINCIPAL MINORS [R] . MITUHIKO ARAKI 1974

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Constructive Characterization of Q sub 0 -Matrices with Nonnegative Principal Minors

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