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Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix

SIAM Journal on Matrix Analysis and Applications, 2007
Summary: We study the connection between matrix measures and random walks with a block tridiagonal transition matrix. We derive sufficient conditions such that the blocks of the \(n\)-step block tridiagonal transition matrix of the Markov chain can be represented as integrals with respect to a matrix valued spectral measure.
Holger Dette
exaly   +4 more sources

The inverse of a block-circulant matrix

IEEE Transactions on Antennas and Propagation, 1983
The inverse A^{-1} of a block-circulant matrix (BCM) A is given in a closed form, by using the fact that a BCM is a combination of permutation matrices, whose eigenvalues and eigenvectors are found with the help of the complex roots of unity. Special results are also given when A is block symmetric or symmetric.
De Mazancourt, T., Gerlic, D.
openaire   +2 more sources

The exponential distance matrix of block graphs

Applied Mathematics and Computation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rundan Xing, Zhibin Du
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Building-block Identification by Simultaneity Matrix

Soft Computing, 2003
This paper presents a study of building blocks (BBs) in the context of genetic algorithms (GAs). In GAs literature, the BBs are common structures of high-quality solutions. The aim is to identify and maintain the BBs while performing solution recombination. To identify the BBs, we construct an $$\ell \times \ell$$ simultaneity matrix according to a set
Chatchawit Aporntewan   +1 more
openaire   +3 more sources

Block matrix models for dynamic networks

Applied Mathematics and Computation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al Mugahwi, Mohammed   +4 more
openaire   +3 more sources

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