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MathematicsFor solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak +1 more
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A relation theoretic m-metric fixed point algorithm and related applications
AIMS Mathematics, 2023 In this article, we introduce the concept of generalized rational type $ F $ -contractions on relation theoretic m-metric spaces (denoted as $ F_{R}^{m} $-contractions, where $ R $ is a binary relation) and some related fixed point theorems are provided.
Muhammad Tariq +5 more
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PENTAGON EQUATION AND MATRIX BIALGEBRAS [PDF]
Communications in Algebra, 2001 We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case. We establish the relation between Hopf-Galois algebras and solutions to modified pentagon equation.
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Journal 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
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The Hermitian solution to a matrix inequality under linear constraint
AIMS MathematicsIn this paper, the necessary and sufficient conditions under which the matrix inequality $ C^*XC\geq D\ (>D) $ subject to the linear constraint $ A^*XA = B $ is solvable are deduced by means of the spectral decompositions of some matrices and the ...
Yinlan Chen, Wenting Duan
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Determination of stoichiometric coefficients by the matrix method [PDF]
Hemijska 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
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Matrix quadratic equations [PDF]
Bulletin of the Australian Mathematical Society, 1974 Matrix quadratic equations have found the most diverse applications. The present article gives a connected account of their theory, and contains some new results and new proofs of known results.
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Some non-commuting solutions of the Yang-Baxter-like matrix equation
Open Mathematics, 2020 Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so
Zhou Duan-Mei, Vu Hong-Quang
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Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2008 Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
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, 2021 Pongsakorn Sunthrayuth +5 more
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