Results 21 to 30 of about 4,801,130 (303)
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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Matrix product state representations [PDF]
Quantum Information and Computation, 2007 This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of
Perez-Garcia, D +3 more
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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 ...
Leszek Gasieniec +4 more
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Quantum verification of matrix products [PDF]
Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm - SODA '06, 2006 15 pages, submitted; v2: rewritten, clarified, and fixed some ...
Buhrman, H.M., Spalek, R.
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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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Stochastic Matrix Product States [PDF]
Physical Review Letters, 2010 The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for correlations which is analogous to the entanglement entropy, the entropy cost $S_C$, and show that ...
Kristan Temme, Frank Verstraete
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Parallel Algorithms for Masked Sparse Matrix-Matrix Products
Proceedings of the 51st International Conference on Parallel Processing, 2022 Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For an important class of algorithms, only a subset of the output entries are needed, and the resulting operation is ...
Srdan Milakovic +4 more
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matrix-toolbox/CHM_CATALOG: v2.2.0
, 2023 Sinkhorn matrices, symmetric and Hermitian ...
matrix-toolbox
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