Results 31 to 40 of about 7,036,812 (378)
Non-commutative NLS-type hierarchies: dressing & solutions [PDF]
, 2019 We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia +2 more
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A Binomial-like Matrix Equation [PDF]
The American Mathematical Monthly, 2012 We show that a pair of matrices satisfying a certain algebraic identity, reminiscent of the binomial theorem, must have the same characteristic polynomial. This is a generalization of Problem 4 (11th grade) from the Romanian National Mathematical Olympiad 2011.
Bostan, Alin, Combot, Thierry
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Algebraic Characterizations of Relationships between Different Linear Matrix Functions
Mathematics, 2023 Let f(X1,X2,…,Xk) be a matrix function over the field of complex numbers, where X1,X2,…,Xk are a family of matrices with variable entries. The purpose of this paper is to propose and investigate the relationships between certain linear matrix functions ...
Yongge Tian, Ruixia Yuan
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Matrix orthogonal polynomials whose derivatives are also orthogonal [PDF]
, 2006 In this paper we prove some characterizations of the matrix orthogonal polynomials whose derivatives are also orthogonal, which generalize other known ones in the scalar case. In particular, we prove that the corresponding orthogonality matrix functional
Cantero, M. J., Moral, L., Velazquez, L.
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Linear and Nonlinear Matrix Equations [PDF]
Abstract and Applied Analysis, 2013 Matrix equations have practical applications in many areas such as computational mathematics, biology, electricity, dynamic programming, stochastic filtering, statistics, solid mechanics, and control and system theory. In recent years, a large number of papers have studied several linear and nonlinear matrix equations.
Masoud Hajarian +2 more
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AIMS Mathematics, 2022 In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding +3 more
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A matrix equation for association schemes [PDF]
Graphs and Combinatorics, 1995 {Let ${\Cal X}$ be a self-dual P-polynomial association scheme. Then there are at most 12 diagonal matrices $T$ such that $(PT)^3=I$. Moreover, all of the solutions for the classical infinite families of such schemes (including the Hamming scheme) are classified.
Dennis Stanton, Laura M. Chihara
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Abstract and Applied Analysis, 2019 In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework
Ivan Kyrchei
semanticscholar +1 more source
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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A Diagrammatic Equation for Oriented Planar Graphs [PDF]
, 2010 In this paper we introduce a diagrammatic equation for the planar sector of square non hermitian random matrix models strongly reminiscent of Polchinski's equation in quantum field theory.
Ambjorn +27 more
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