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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…
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Keywords:
fourth order;
sign;
equation;
yang baxter ... See more keywords
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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…
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Keywords:
baxter like;
solutions yang;
matrix equation;
yang baxter ... See more keywords
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1
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.
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Keywords:
like matrix;
solutions yang;
baxter like;
matrix equation ... See more keywords
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2
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…
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Keywords:
like matrix;
equation;
baxter like;
idempotent matrix ... See more keywords