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   Articles with "baxter like" as a keyword



A fourth-order method for computing the sign function of a matrix with application in the Yang–Baxter-like matrix equation

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recommendations! Published in 2019 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-019-0816-6

Abstract: In this study, first we derive a novel iteration scheme for the sign of a matrix with no pure imaginary eigenvalues. The fourth-order convergence speed of this scheme is given in detail. Secondly, we extend… read more here.

Keywords: fourth order; sign; equation; yang baxter ... See more keywords

On commuting solutions of the Yang–Baxter-like matrix equation

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.02.030

Abstract: Abstract Let A be an arbitrary square matrix and its Jordan canonical form is P − 1 A P = J = diag ( J 1 ( λ 1 ) , ⋯ , J q… read more here.

Keywords: baxter like; solutions yang; matrix equation; yang baxter ... See more keywords

Convergence theory of efficient parametric iterative methods for solving the Yang-Baxter-like matrix equation

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recommendations! Published in 2024 at "Engineering Computations"

DOI: 10.1108/ec-12-2023-0965

Abstract: PurposeIn this study, we present a novel parametric iterative method for computing the polar decomposition and determining the matrix sign function.Design/methodology/approachThis method demonstrates exceptional efficiency, requiring only two matrix-by-matrix multiplications and one matrix inversion per… read more here.

Keywords: baxter like; like matrix; matrix equation; parametric iterative ... See more keywords

Finding Solutions to the Yang-Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081577

Abstract: Let A be a diagonalizable complex matrix. In this paper, we discuss finding solutions to the Yang–Baxter-like matrix equation AXA=XAX. We then present a concrete example to illustrate the validity of the results obtained. read more here.

Keywords: like matrix; solutions yang; baxter like; matrix equation ... See more keywords

Solution Set of the Yang-Baxter-like Matrix Equation for an Idempotent Matrix

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14122510

Abstract: Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a matrix X being a nontrivial solution of the Yang-Baxter-like matrix equation AXA = XAX, discriminating commuting solutions from non-commuting ones. On this… read more here.

Keywords: like matrix; equation; baxter like; idempotent matrix ... See more keywords