Results 21 to 30 of about 3,138,968 (195)

On Relationships between a Linear Matrix Equation and Its Four Reduced Equations

open access: yesAxioms, 2022
Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1, and ...
Bo Jiang, Yongge Tian, Ruixia Yuan
doaj   +1 more source

The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions

open access: yesMathematics, 2020
In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which ...
Nawab Hussain   +3 more
doaj   +1 more source

Spectral analysis of variable-order multi-terms fractional differential equations

open access: yesOpen Physics, 2023
In this work, a numerical scheme based on shifted Jacobi polynomials (SJPs) is deduced for variable-order fractional differential equations (FDEs). We find numerical solution of consider problem of fractional order. The proposed numerical scheme is based
Shah Kamal   +3 more
doaj   +1 more source

On nonlinear matrix equations

open access: yesApplied Mathematics Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarah Vaezzadeh   +2 more
openaire   +3 more sources

A geometric view of cryptographic equation solving [PDF]

open access: yes, 2008
This paper considers the geometric properties of the Relinearisation algorithm and of the XL algorithm used in cryptology for equation solving. We give a formal description of each algorithm in terms of projective geometry, making particular use of the ...
Paterson M. B.   +5 more
core   +2 more sources

On the Yang-Baxter-like matrix equation for rank-two matrices

open access: yesOpen Mathematics, 2017
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX.
Zhou Duanmei, Chen Guoliang, Ding Jiu
doaj   +1 more source

Determination of stoichiometric coefficients by the matrix method [PDF]

open access: yesHemijska Industrija, 2007
The problem of calculating stoichiometric coefficients in a chemical equation can be solved by standard methods and the method of multidimensional vector space, but good knowledge of vector algebra is required.
Tadić Goran S.   +3 more
doaj   +1 more source

matrix-toolbox/CHM_scripts: v2.1.1

open access: yes, 2023
various CHM ...
matrix-toolbox
core   +1 more source

A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]

open access: yes, 2009
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga   +14 more
core   +1 more source

Least-squares Hermitian problem of complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
doaj   +1 more source

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