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 the obtained results so as to calculate the solution of the Yang–Baxter-like equation for the matrix A with no pure imaginary eigenvalues. Some numerical tests are also furnished to manifest the applicability of our method.
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Communicated by Jinyun Yuan.
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Soleymani, F., Kumar, A. A fourth-order method for computing the sign function of a matrix with application in the Yang–Baxter-like matrix equation. Comp. Appl. Math. 38, 64 (2019). https://doi.org/10.1007/s40314-019-0816-6
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DOI: https://doi.org/10.1007/s40314-019-0816-6