Results 11 to 20 of about 96,557 (302)
Block Eigenvalues of block compound matrices
Linear Algebra and its Applications, 1982 AbstractWe obtain some results about the block eigenvalues of block compound matrices and additive block compound matrices. Assuming that a certain block Vandermonde matrix is nonsingular, we generalize known results for (scalar) compound and additive compound matrices.
Victória, José
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The eigenvalue distribution of block diagonally dominant matrices and block H-matrices [PDF]
The Electronic Journal of Linear Algebra, 2010 The paper studies the eigenvalue distribution of some special matrices, including block diagonally dominant matrices and block H matrices. A well-known theorem of Taussky on the eigenvalue distribution is extended to such matrices. Conditions on a block matrix are also given so that it has certain numbers of eigenvalues with positive and negative real ...
Cheng-Yi Zhang +3 more
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On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2014 Block lower triangular matrices and block upper triangular matrices are popular preconditioners for $2\times 2$ block matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned matrices are related.
Pestana, Jennifer
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Algorithms for Recursive Block Matrices
CoRRTo appear in "LALO 60: Matrices and Polynomials in Computer Algebra"
Watt, Stephen M.
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Block TERM factorization of block matrices [PDF]
Science in China Series F Information Sciences, 2004 Reversible integer mapping (or integer transform) is a useful way to realize lossless coding, and this technique has been used for multi-component image compression in the new international image compression standard JPEG 2000. For any nonsingular linear transform of finite dimension, its integer transform can be implemented by factorizing the ...
Yiyuan She, Pengwei Hao
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Mathematics, 2020 In this paper, we combine the periodogram method for perturbed block Toeplitz matrices with the Cholesky decomposition to give a parameter estimation method for any perturbed vector autoregressive (VAR) or vector moving average (VMA) process, when we ...
Jesús Gutiérrez-Gutiérrez +2 more
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Block H-matrices and Spectrum of Block Matrices
Journal of Physics: Conference Series, 2020 Abstract In this paper, we obtain a set of practical criteria of block H-matrices. At the same time, a range of eigenvalues is given for a kind of nonsingular block H-matrix.
Huishuang Gao +4 more
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On Some Matrix Trace Inequalities
Journal of Inequalities and Applications, 2010 We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 ...
Ramazan Türkmen +1 more
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Sparse block-structured random matrices: universality
Journal of Physics: Complexity, 2023 We study ensembles of sparse block-structured random matrices generated from the adjacency matrix of a Erdös–Renyi random graph with N vertices of average degree Z , inserting a real symmetric d × d random block at each non-vanishing entry. We consider
Giovanni M Cicuta, Mario Pernici
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Some Method for Constructing Cycles in a Graph
Современные информационные технологии и IT-образование, 2022 Multidimensional matrices are a powerful tool for solving various fundamental scientific problems and applied scientific and technical problems. As examples of the use of multidimensional matrices in various fields, one can cite the work of the creator ...
Victor Munerman, Daniel Munerman
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