Results 21 to 30 of about 9,160 (266)
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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Integrative factorization of bidimensionally linked matrices [PDF]
Biometrics, 2019 AbstractAdvances in molecular “omics” technologies have motivated new methodologies for the integration of multiple sources of high‐content biomedical data. However, most statistical methods for integrating multiple data matrices only consider data shared vertically (one cohort on multiple platforms) or horizontally (different cohorts on a single ...
Jun Young Park, Eric F. Lock
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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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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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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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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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Block LU factorizations of M-matrices [PDF]
Numerische Mathematik, 1998 It is well known that any nonsingular M-matrix admits an LU factorization into M-matrices (with L and U lower and upper triangular respectively) and any singular M-matrix is permutation similar to an M-matrix which admits an LU factorization into M-matrices.
McDonald, J. J., Schneider, H.
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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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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 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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