Results 11 to 20 of about 14,368 (309)

Factorization of symplectic matrices into elementary factors [PDF]

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, Løw, Erik, Ivarsson, Björn   +3 more
openaire   +4 more sources

Offline and online coupled tensor factorization with knowledge graph. [PDF]

PLoS ONE
How can we accurately decompose a temporal irregular tensor along while incorporating a related knowledge graph tensor in both offline and online streaming settings? PARAFAC2 decomposition is widely applied to the analysis of irregular tensors consisting
SeungJoo Lee, Yong-Chan Park, U Kang
doaj   +2 more sources

spam: A Sparse Matrix R Package with Emphasis on MCMC Methods for Gaussian Markov Random Fields

Journal of Statistical Software, 2010
spam is an R package for sparse matrix algebra with emphasis on a Cholesky factorization of sparse positive definite matrices. The implemantation of spam is based on the competing philosophical maxims to be competitively fast compared to existing tools ...
Reinhard Furrer, Stephan R. Sain
doaj   +1 more source

Collaborative filtering based on nonnegative/binary matrix factorization [PDF]

Frontiers in Big Data
Collaborative filtering generates recommendations by exploiting user-item similarities based on rating data, which often contains numerous unrated items.
Yukino Terui, Yuka Inoue, Yohei Hamakawa, Kosuke Tatsumura, Kazue Kudo, Kazue Kudo   +5 more
doaj   +2 more sources

Some properties of various types of matrix factorization [PDF]

ITM Web of Conferences, 2021
Matrix factorizations or matrix decompositions are methods that represent a matrix as a product of two or more matrices. There are various types of matrix factorizations such as LU factorization, Cholesky factorization, singular value decomposition etc ...
Ng Wei Shean, Tan Wei Wen
doaj   +1 more source

An Alternate GPU-Accelerated Algorithm for Very Large Sparse LU Factorization

Mathematics, 2023
The LU factorization of very large sparse matrices requires a significant amount of computing resources, including memory and broadband communication.
Jile Chen, Peimin Zhu
doaj   +1 more source

Radix-2 Self-Recursive Sparse Factorizations of Delay Vandermonde Matrices for Wideband Multi-Beam Antenna Arrays

IEEE Access, 2020
This paper presents a self-contained factorization for the Vandermonde matrices associated with true-time delay based wideband analog multi-beam beamforming using antenna arrays. The proposed factorization contains sparse and orthogonal matrices.
Sirani M. Perera, Arjuna Madanayake, Renato J. Cintra   +2 more
doaj   +1 more source

Enumeration of weighted paths on a digraph and block hook determinant

Special Matrices, 2021
In this article, we evaluate determinants of “block hook” matrices, which are block matrices consist of hook matrices. In particular, we deduce that the determinant of a block hook matrix factorizes nicely.
Bera Sudip
doaj   +1 more source

Community-Based Matrix Factorization (CBMF) Approach for Enhancing Quality of Recommendations

Entropy, 2023
Matrix factorization is a long-established method employed for analyzing and extracting valuable insight recommendations from complex networks containing user ratings.
Srilatha Tokala, Murali Krishna Enduri, T. Jaya Lakshmi, Hemlata Sharma   +3 more
doaj   +1 more source

Robust Probabilistic Matrix Tri-factorization

Jisuanji kexue yu tansuo, 2020
Matrix factorization is a commonly-used data analysis tool in computer vision, machine learning and data mining. In recent years, the probabilistic models of matrix factorization have become the focus of attention.
SHI Jiarong, CHEN Jiaojiao
doaj   +1 more source