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]
Similarity:
Displaying similar documents to “The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices”
The eigenvalue distribution of block diagonally dominant matrices and block H-matrices.
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
Similarity:
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.
Schur complements of diagonally dominant matrices
David Carlson, Thomas L. Markham (1979)
Czechoslovak Mathematical Journal
Similarity:
Existence of matrices with prescribed entries.
Ion Zaballa (1986)
Extracta Mathematicae
Similarity:
A note on certain ergodicity coeflcients
Francesco Tudisco (2015)
Special Matrices
Similarity:
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...
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications
Owe Axelsson (2017)
Applications of Mathematics
Similarity:
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...
A note on nonnegative matrices
Miroslav Fiedler (1977)
Mathematica Slovaca
Similarity:
Certain new M-matrices and their properties with applications
Ratnakaram N. Mohan, Sanpei Kageyama, Moon H. Lee, G. Yang (2008)
Discussiones Mathematicae Probability and Statistics
Similarity:
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...