Results 31 to 40 of about 115,750 (273)

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

open access: yesAbstract 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
doaj   +1 more source

Novel Algorithms Based on Majorization Minimization for Nonnegative Matrix Factorization

open access: yesIEEE 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
doaj   +1 more source

Factorization of generalized γ-generating matrices [PDF]

open access: yesJournal of Mathematical Sciences, 2018
The class of \(\gamma\)-generating matrices and its subclasses of regular and singular \(\gamma\)-generating matrices were introduced in [\textit{D. Z. Arov}, J. Sov. Math. 52, No. 6, 3487--3491 (1990; Zbl 0718.41004); translation from Teor. Funkts., Funkts. Anal. Prilozh.
openaire   +3 more sources

Using Dynamic Multi-Task Non-Negative Matrix Factorization to Detect the Evolution of User Preferences in Collaborative Filtering. [PDF]

open access: yesPLoS 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
doaj   +1 more source

On factorized Lax pairs for classical many-body integrable systems

open access: yes, 2019
In this paper we study factorization formulae for the Lax matrices of the classical Ruijsenaars-Schneider and Calogero-Moser models. We review the already known results and discuss their possible origins.
Vasilyev, M., Zotov, A.
core   +1 more source

Pentadiagonal Companion Matrices

open access: yesSpecial 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.
doaj   +1 more source

Arf numerical semigroups with high multiplicity via Gröbner basis

open access: yesApplied 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
doaj   +1 more source

Elementary Darboux transformations and factorization

open access: yes, 2005
A general theorem on factorization of matrices with polynomial entries is proven and it is used to reduce polynomial Darboux matrices to linear ones.
A. B. Shabat   +8 more
core   +1 more source

Factorizations of Matrices over Projective-free Rings [PDF]

open access: yesAlgebra Colloquium, 2016
An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#(R) that commute. In this paper, we characterize the strong J#-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings.
Chen H., Kose H., Kurtulmaz, Y.
openaire   +7 more sources

The Incremental Multiresolution Matrix Factorization Algorithm

open access: yes, 2017
Multiresolution analysis and matrix factorization are foundational tools in computer vision. In this work, we study the interface between these two distinct topics and obtain techniques to uncover hierarchical block structure in symmetric matrices -- an ...
Ithapu, Vamsi K.   +3 more
core   +1 more source

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