Results 31 to 40 of about 165,987,094 (304)
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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Abstract and Applied Analysis, 2014 Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
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Novel Algorithms Based on Majorization Minimization for Nonnegative Matrix Factorization
IEEE Access, 2019 Matrix decomposition is ubiquitous and has applications in various fields like speech processing, data mining and image processing to name a few. Under matrix decomposition, nonnegative matrix factorization is used to decompose a nonnegative matrix into ...
R. Jyothi, Prabhu Babu, Rajendar Bahl
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Using Dynamic Multi-Task Non-Negative Matrix Factorization to Detect the Evolution of User Preferences in Collaborative Filtering. [PDF]
PLoS ONE, 2015 Predicting what items will be selected by a target user in the future is an important function for recommendation systems. Matrix factorization techniques have been shown to achieve good performance on temporal rating-type data, but little is known about
Bin Ju +4 more
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Pentadiagonal Companion Matrices
Special Matrices, 2016 The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally ...
Eastman Brydon, Vander Meulen Kevin N.
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Arf numerical semigroups with high multiplicity via Gröbner basis
Applied Mathematics in Science and Engineering, 2023 In this paper, Arf numerical semigroups with high multiplicity are given. RF (Row Factorization)-matrices, Gröbner basis are presented by writing the ideals of numerical semigroup with RF-matrices.
Belgin Özer
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Factorization of nonnegative matrices—II
Linear Algebra and its Applications, 1978 AbstractSuppose A is an n×n nonnegative matrix. Necessary and sufficient conditions are given for A to be factored as LU, where L is a lower triangular nonnegative matrix, and U is an upper triangular nonnegative matrix with uii = 1.
Lau, Cony M., Markham, Thomas L.
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Factorization of matrices into partial isometries [PDF]
Proceedings of the American Mathematical Society, 1989 In this paper, we characterize complex square matrices which are expressible as products of partial isometries and orthogonal projections. More precisely, we show that a matrix T T
Kuo, Kunghwang, Wu, Peiyuan
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Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
Special Matrices, 2015 We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can
Verde-Star Luis
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Differential expansion for antiparallel triple pretzels: the way the factorization is deformed
European Physical Journal C: Particles and Fields, 2022 For a peculiar family of double braid knots there is a remarkable factorization formula for the coefficients of the differential (cyclotomic) expansion (DE), which nowadays is widely used to construct the exclusive Racah matrices S and $${\bar{S}}$$ S ...
A. Morozov, N. Tselousov
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