Results 11 to 20 of about 2,519,647 (174)
Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
Axioms, 2022 This paper considers how to construct and describe matrix equalities that are composed of algebraic operations of matrices and their generalized inverses.
Yongge Tian
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Efficiently Correcting Matrix Products [PDF]
Algorithmica, 2016 We study the problem of efficiently correcting an erroneous product of two $n\times n$ matrices over a ring. Among other things, we provide a randomized algorithm for correcting a matrix product with at most $k$ erroneous entries running in $\tilde{O}(n^2+kn)$ time and a deterministic $\tilde{O}(kn^2)$-time algorithm for this problem (where the ...
Gąsieniec, Leszek +4 more
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Structured matrix recovery from matrix‐vector products
Numerical Linear Algebra with Applications, 2023 AbstractCan one recover a matrix efficiently from only matrix‐vector products? If so, how many are needed? This article describes algorithms to recover matrices with known structures, such as tridiagonal, Toeplitz, Toeplitz‐like, and hierarchical low‐rank, from matrix‐vector products.
Diana Halikias, Alex Townsend
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A unique and novel graph matrix for efficient extraction of structural information of networks
Electronic Journal of Graph Theory and Applications, 2021 In this article, we propose a new type of square matrix associated with an undirected graph by trading off the natural embedded symmetry in them. The proposed matrix is defined using the neighbourhood sets of the vertices, called as neighbourhood matrix
Sivakumar Karunakaran +1 more
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Computational and Structural Biotechnology Journal, 2021 The high mutation rate in retroviruses is one of the leading causes of drug resistance. In human immunodeficiency virus type-1 (HIV-1), synergistic mutations in its protease and the protease substrate – the Group-specific antigen (Gag) polyprotein – work
Firdaus Samsudin +2 more
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Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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Diagonalization of the cross-product matrix
Examples and Counterexamples, 2023 The paper considers diagonalization of the cross-product matrices, i.e., skew-symmetric matrices of order three. A procedure to determine a nonsingular matrix, which yields the diagonalization is indicated.
Oskar Maria Baksalary, Götz Trenkler
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DECODING OF MATRIX-PRODUCT CODES [PDF]
Journal of Algebra and Its Applications, 2013 We propose a decoding algorithm for the (u | u + v)-construction that decodes up to half of the minimum distance of the linear code. We extend this algorithm for a class of matrix-product codes in two different ways. In some cases, one can decode beyond the error-correction capability of the code.
Hernando, Fernando, Ruano Benito, Diego
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S matrix from matrix product states [PDF]
, 2014 We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems.
Haegeman, Jutho +3 more
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Journal of Inequalities and Applications, 2016 A complex matrix X is called an { i , … , j } $\{i,\ldots, j\}$ -inverse of the complex matrix A, denoted by A ( i , … , j ) $A^{(i,\ldots, j)}$ , if it satisfies the ith, …, jth equations of the four matrix equations (i) A X A = A $AXA = A$ , (ii) X A X
Yongge Tian
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