Results 21 to 30 of about 14,368 (309)
Positive bidiagonal factorization of tetradiagonal Hessenberg matrices [PDF]
, 2023 2023 Acuerdos transformativos CRUERecently, a spectral Favard theorem was presented for bounded banded lower Hessenberg matrices that possess a positive bidiagonal factorization. The paper establishes conditions, expressed in terms of continued fractions,
Mañas Baena, Manuel Enrique +7 more
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Sparse Matrix Based Low-Complexity, Recursive, and Radix-2 Algorithms for Discrete Sine Transforms
IEEE Access, 2021 This paper presents factorizations of each discrete sine transform (DST) matrix of types I, II, III, and IV into a product of sparse, diagonal, bidiagonal, and scaled orthogonal matrices.
Sirani M. Perera, Levi E. Lingsch
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New gravitational solutions via a Riemann-Hilbert approach
Journal of High Energy Physics, 2018 We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties of the ...
G. L. Cardoso, J. C. Serra
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Factorization of unitary matrices [PDF]
Journal of Physics A: Mathematical and General, 2003 Factorization of an $n\times n$ unitary matrix as a product of $n$ diagonal matrices containing only phases interlaced with $n-1$ orthogonal matrices each one generated by a real vector as well as an explicit form for the Weyl factorization are found.
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Network Embedding Using Deep Robust Nonnegative Matrix Factorization
IEEE Access, 2020 As an effective technique to learn low-dimensional node features in complicated network environment, network embedding has become a promising research direction in the field of network analysis.
Chaobo He +5 more
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Applying Quantum Tomography to Hadronic Interactions
SciPost Physics Proceedings, 2022 A proper description of inclusive reactions is expressed with density matrices. Quantum tomography reconstructs density matrices from experimental observables. We review recent work that applies quantum tomography to practical experimental data analysis.
J. C. Martens, J. P. Ralston, D. Tapia Takaki
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The Matrices of Factor Analysis [PDF]
Proceedings of the National Academy of Sciences, 1944 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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FACTORIZATION OF TROPICAL MATRICES [PDF]
Journal of Algebra and Its Applications, 2013 In contrast to the situation in classical linear algebra, not every tropically non-singular matrix can be factored into a product of tropical elementary matrices. We do prove the factorizability of any tropically non-singular 2 × 2 matrix and, relating to the existing Bruhat decomposition, determine which 3 × 3 matrices are factorizable.
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Multiplying and Factoring Matrices [PDF]
The American Mathematical Monthly, 2018 All of us learn and teach matrix multiplication using rows times columns. Those inner products are the entries of AB.
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Factorizations of $k$-nonnegative matrices
Journal of Combinatorics, 2022 A matrix is $k$-nonnegative if all its minors of size $k$ or less are nonnegative. We give a parametrized set of generators and relations for the semigroup of $k$-nonnegative $n\times n$ invertible matrices in two special cases: when $k = n-1$ and when $k = n-2$, restricted to unitriangular matrices.
Chepuri, Sunita +3 more
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