Results 11 to 20 of about 9,658 (265)
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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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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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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Factorizations of nonnegative matrices [PDF]
Proceedings of the American Mathematical Society, 1972 Suppose A is an n-square matrix over the real numbers such that all principal minors are nonzero. If A is nonnegative, then necessary and sufficient conditions are determined for A to be factored into a product L-U, where L is a lower triangular nonnegative matrix and U is an upper triangular nonnegative matrix with ui, = 1.
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On Factorizations of Upper Triangular Nonnegative Matrices of Order Three
Discrete Dynamics in Nature and Society, 2015 Let T3(N0) denote the semigroup of 3×3 upper triangular matrices with nonnegative integral-valued entries. In this paper, we investigate factorizations of upper triangular nonnegative matrices of order three.
Yi-Zhi Chen
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