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A Combinatorial method for a class of matrix games

Journal of Applied Probability, 1966
The optimal strategies of any finite matrix game can be characterized by means of the Snow-Shapley Theorem [1]. However, in order to use this theorem to compute the optimal strategies, it may be necessary to invert a large number of matrices, most of which are not related to the solutions of the game.
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Combinatorial Matrix Classes

2006
A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance.
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A Class of Robustness Problems in Matrix Analysis

2002
We present an overview of several results and a literature guide, prove some new results, and state open problems concerning description of all robust matrices in the following sense: Let be given a class of real or complex matrices A, and for each X ∈ A, a set G(X) is given.
Ran, A.C.M., Rodman, L.
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On One Class of Matrix Differential Operators

Siberian Mathematical Journal, 2004
The author continues the study of the isomorphic properties of partial differential operators in the special weighted Sobolev spaces \(W^l_{p,\sigma}\) introduced in his papers [Russ. Acad. Sci. Dokl., Math. 49, No. 1, 113--118 (1994; Zbl 0842.46016)] and [Boundary value problems for partial differential equations, Collect. sci. works, Novosibirsk 1986,
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Research on a Class of Nonlinear Matrix Equation

2014
In this paper, the nonlinear matrix equation \(X^{r}+\sum\limits_{i=1}^{m}A_{i}^{\ast}X^{\delta_{i}}A_{i}\) = Q is discussed. We propose the Newton iteration method for obtaining the Hermite positive definite solution of this equation. And a numerical example is given to identify the efficiency of the results obtained.
Jiating Fang   +3 more
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Classes of submultiplicative matrix norms and their applications

TRU Mathematics, 1981
Very often in numerical analysis, one needs a bound for a matrix, \(\| A\|\), where A is a square \(n\times n\) matrix. Bounding \(\| A\|\) depends upon a choice of matrix norms. We characterize certain classes of matrix norms whose bounds are controlled by the diagonal matrices, D, or components of a matrix A and give some applications to numerical ...
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On One Class of Matrix Topological *-Algebras

Ukrainian Mathematical Journal, 2001
Let \(\Phi=\operatorname {pr} \lim _{\tau \in T}H_{\tau}\) be a projective limit of a family \((H_{tau})_{\tau \in T}\) of complex Hilbert spaces. The space \(\Phi\) is called nuclear if for each \(\tau \in T\) there exists \({\tau}'\in T\) such that the embedding \(H_{{\tau}'}\to H_{\tau}\) is quasi-nuclear.
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Solution classes of the matrix second Painlevé hierarchy

Physica D: Nonlinear Phenomena, 2022
Andrew Pickering   +2 more
exaly  

A class of matrix transformation

1991
Denote by \(s\) and \(\ell_ \infty\) the set of all complex sequences and all bounded complex sequences, respectively. Let \(p=(p_ k)\) be a sequence of positive numbers. Denote by \(\ell_ \infty(p)\) and \(c_ 0(p)\) the set of all \(x=(x_ k)\in s\) for which \(\sup_ k| x_ k|^{p_ k}
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