The eigenvalue distribution of block diagonally dominant matrices and block H-matrices.
Zhang, Cheng-Yi, Luo, Shuanghua, Huang, Aiqun, Xu, Chengxian (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Zhang, Cheng-Yi, Luo, Shuanghua, Huang, Aiqun, Xu, Chengxian (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
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Ion Zaballa (1986)
Extracta Mathematicae
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Francesco Tudisco (2015)
Special Matrices
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We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized version have been shown so far.We provide a further result concerning the limit of its powers. Then we propose a generalization of the second coefficient τ n−1 and we show that, under mild conditions, it can be used to recast the eigenvector...
Owe Axelsson (2017)
Applications of Mathematics
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Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based on a transformation matrix with a perturbation of one of the given matrix blocks are presented. The first method involves an additional...
Miroslav Fiedler (1977)
Mathematica Slovaca
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Ratnakaram N. Mohan, Sanpei Kageyama, Moon H. Lee, G. Yang (2008)
Discussiones Mathematicae Probability and Statistics
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The Mₙ-matrix was defined by Mohan [21] who has shown a method of constructing (1,-1)-matrices and studied some of their properties. The (1,-1)-matrices were constructed and studied by Cohn [6], Ehrlich [9], Ehrlich and Zeller [10], and Wang [34]. But in this paper, while giving some resemblances of this matrix with a Hadamard matrix, and by naming it as an M-matrix, we show how to construct partially balanced incomplete block designs and some regular graphs by it. Two types of these...
Balaji, R., Bapat, R.B. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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