Results 11 to 20 of about 165,987,094 (304)
Factorization of matrices of quaternions [PDF]
Expositiones Mathematicae, 2012 We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem.
Loring, Terry A.
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Transfer matrices and temporal factorization of the Wilson fermion determinant [PDF]
, 2022 When lattice QCD is formulated in sectors of fixed quark numbers, the canonical fermion determinants can be expressed explicitly in terms of transfer matrices.
Wenger, Urs
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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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Computation of Inner-Outer Factorizations of Rational Matrices [PDF]
, 1997 In this paper we propose a new numerically reliable computational approach to determine the inner-outer factorization of a rational transfer matrix G of a linear descriptor system.
A. Varga, Andras Varga, Varga, A.
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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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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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Factorization of symplectic matrices into elementary factors
Proceedings of the American Mathematical Society, 2020 We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
Kutzschebauch, Frank +3 more
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