Discrepancy of matrices of zeros ond ones.

Brualdi, Richard A.; Shen, Jian

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Displaying similar documents to “Discrepancy of matrices of zeros ond ones.”

On the matrix form of Kronecker lemma

João Lita da Silva, António Manuel Oliveira (2009)

Discussiones Mathematicae Probability and Statistics

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A matrix generalization of Kronecker's lemma is presented with assumptions that make it possible not only the unboundedness of the condition number considered by Anderson and Moore (1976) but also other sequences of real matrices, not necessarily monotone increasing, symmetric and nonnegative definite. A useful matrix decomposition and a well-known equivalent result about convergent series are used in this generalization.

A new proof of Löwner's theorem on monotone matrix functions.

Gunnar Sparr (1980)

Mathematica Scandinavica

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Thin Lehman matrices and their graphs.

Wang, Jonathan (2010)

The Electronic Journal of Combinatorics [electronic only]

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A method of inverting matrices

Olga Porkorná (1970)

Aplikace matematiky

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Pattern avoidance in matrices.

Kitaev, Sergey, Mansour, Toufik, Vella, Antoine (2005)

Journal of Integer Sequences [electronic only]

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Generalizations of Nekrasov matrices and applications

Ljiljana Cvetković, Vladimir Kostić, Maja Nedović (2015)

Open Mathematics

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In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already...

Counting determinants of Fibonacci-Hessenberg matrices using LU factorizations.

Li, Hsuan-Chu, Chen, Young-Ming, Tan, Eng-Tjioe (2009)

Integers

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The Dittert's function on a set of nonnegative matrices.

Hwang, Suk Geun, Sohn, Mun-Go, Kim, Si-Ju (1990)

International Journal of Mathematics and Mathematical Sciences

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Sign-consistency and solvability of constrained linear systems.

Lee, Gwang-Yeon, Shader, Bryan L. (1998)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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