Results 21 to 30 of about 7,036,812 (378)
Solvability of Matrix-Exponential Equations [PDF]
Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, 2016 Accepted to LICS ...
Ouaknine, Joel +3 more
openaire +5 more sources
Convex (α, β)-Generalized Contraction and Its Applications in Matrix Equations
Axioms, 2023 This paper investigates the existence and convergence of solutions for linear and nonlinear matrix equations. This study explores the potential of convex (α,β)-generalized contraction mappings in geodesic spaces, ensuring the existence of solutions for ...
Rahul Shukla, Winter Sinkala
doaj +1 more source
Axioms, 2021 In this paper, the notion of θ*-weak contraction is introduced, which is utilized to prove some fixed point results. These results are helpful to give a positive response to certain open question raised by Kannan and Rhoades on the existence of ...
Atiya Perveen +3 more
doaj +1 more source
Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
doaj +1 more source
A simple method for solving matrix equations $ AXB = D $ and $ GXH = C $
AIMS Mathematics, 2021 A simple method to solve the common solution to the pair of linear matrix equations $ AXB = D $ and $ GXH = C $ is introduced. Some necessary and sufficient conditions for the existence of a common solution, and two expressions for the general common ...
Huiting Zhang +3 more
doaj +1 more source
Characteristic equation of a matrix [PDF]
ACM SIGPLAN Notices, 1970 Theodore A. Bickart
openalex +3 more sources
Admissible multivalued hybrid $\mathcal{Z}$-contractions with applications
AIMS Mathematics, 2021 In this paper, we introduce new concepts, admissible multivalued hybrid $\mathcal{Z}$-contractions and multivalued hybrid $\mathcal{Z}$-contractions in the framework of $b$-metric spaces and establish sufficient conditions for existence of fixed points ...
Monairah Alansari +3 more
doaj +1 more source
Prime decomposition of quadratic matrix polynomials
AIMS Mathematics, 2021 We study the prime decomposition of a quadratic monic matrix polynomial. From the prime decomposition of a quadratic matrix polynomial, we obtain a formula of the general solution to the corresponding second-order differential equation.
Yunbo Tian, Sheng Chen
doaj +1 more source
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
, 2009 A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
core +2 more sources
A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 We propose a new preconditioned global conjugate gradient (PGL-CG) method for the solution of matrix equation AXB = C, where A and B are sparse Stieltjes matrices. The preconditioner is based on the support graph preconditioners.
K. Rezaei, F. Rahbarnia, F. Toutounian
doaj +1 more source