Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
doaj +1 more source
A GPU-based singular value decomposition algorithm [PDF]
, 2023 In this research paper we present an implementation of a singular value decomposition algorithm designed specifically for the graphics processing unit. It consists of two parts: orthogonal matrix decomposition and matrix diagonalization.
Sukharskyi, S.S.
core
An S-type singular value inclusion set for rectangular tensors
Journal of Inequalities and Applications, 2017 An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results ...
Caili Sang
doaj +1 more source
Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
doaj +1 more source
Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices
Mathematics, 2022 Based on the Schur complement, some upper bounds for the infinity norm of the inverse of generalized doubly strictly diagonally dominant matrices are obtained. In addition, it is shown that the new bound improves the previous bounds.
Yating Li, Yaqiang Wang
doaj +1 more source
Toward efficacy of piecewise polynomial truncated singular value decomposition algorithm in moving force identification [PDF]
, 2019 This paper introduces and evaluates the piecewise polynomial truncated singular value decomposition (PP-TSVD) algorithm toward an effective use for moving force identification (MFI).
Zhao, Shunbo +4 more
core +1 more source
Singular value comparison of singular points and non-singular points. [PDF]
, 2020 Singular value comparison of singular points and non-singular points.
Heyu Hu (8668383) +3 more
core +1 more source
Singular value decomposition in AHP
European Journal of Operational Research, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saul I. Gass, Tamás Rapcsák
openaire +2 more sources
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
core +1 more source
New inclusion sets for singular values
Journal of Inequalities and Applications, 2017 In this paper, for a given matrix A = ( a i j ) ∈ C n × n $A=(a_{ij}) \in\mathbb{C}^{n\times n}$ , in terms of r i $r_{i}$ and c i $c_{i}$ , where r i = ∑ j = 1 , j ≠ i n | a i j | $r_{i} = \sum _{j = 1,j \ne i}^{n} {\vert {a_{ij} } \vert }$ , c i = ∑ j =
Jun He +3 more
doaj +1 more source