Results 1 to 10 of about 14,368 (309)
Factorization of matrices of quaternions
Expositiones Mathematicae, 2012 We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem.
Loring, Terry A.
openaire +3 more sources
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
doaj +1 more source
Factorizations of matrices over semirings
Linear Algebra and its Applications, 2003 A semiring \(R\) with identity satisfies all ring axioms but one: an additive inverse of an element in \(R\) is not required. All matrices below have entries in \(R\). The semiring rank of a matrix \(A\) is the smallest \(r\) such that \(A=BC\), where \(B\) is an \(n\times r\) matrix and \(C\) is an \(r\times n\) matrix.
Hyuk Cho, Han, Kim, Suh-Ryung
openaire +1 more source
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
doaj +1 more source
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
doaj +1 more source
ZjuMatrix: C++ vector and matrix class library for finite element method
SoftwareXFinite element analysis is an indispensable and valuable tool widely used in the field of science and technology. It involves a multitude of matrix operations, storage of large banded matrices, and calculation of large-scale algebraic equations and ...
Shicheng Zheng, Rongqiao Xu
doaj +1 more source
Journal of Applied Mathematics, 2014 The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two ...
Zhaolin Jiang, Nuo Shen, Juan Li
doaj +1 more source
Frontiers in Cell and Developmental Biology, 2022 Calculating and predicting drug-target interactions (DTIs) is a crucial step in the field of novel drug discovery. Nowadays, many models have improved the prediction performance of DTIs by fusing heterogeneous information, such as drug chemical structure
Jiacheng Sun +14 more
doaj +1 more source
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.
openaire +2 more sources
An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
doaj +1 more source