The Experts below are selected from a list of 36 Experts worldwide ranked by ideXlab platform

Ding Jiu - One of the best experts on this subject based on the ideXlab platform.

  • Complete Commuting Solutions of the Yang-Baxter-like Matrix Equation for Diagonalizable Matrices
    'Elsevier BV', 2016
    Co-Authors: Dong Qixiang, Ding Jiu
    Abstract:

    Let A be a square Matrix that is diagonalizable. We find all the commuting solutions of the quadratic Matrix equation AXA = XAX, by taking advantage of the Jordan form structure of A, together with the help of a well-known theorem on the uniqueness of a solution to Sylvester\u27s equation. Two special classes of the given Matrix A are further investigated, including circular matrices and those that are equal to some of their powers. Moreover, all the non commuting solutions are constructed when A is a Householder Matrix, based on a spectral perturbation result. (C) 2016 Elsevier Ltd. All rights reserved

Jiu Ding - One of the best experts on this subject based on the ideXlab platform.

  • complete commuting solutions of the yang baxter like Matrix equation for diagonalizable matrices
    Computers & Mathematics With Applications, 2016
    Co-Authors: Qixiang Dong, Jiu Ding
    Abstract:

    Let A be a square Matrix that is diagonalizable. We find all the commuting solutions of the quadratic Matrix equation A X A = X A X , by taking advantage of the Jordan form structure of A , together with the help of a well-known theorem on the uniqueness of a solution to Sylvester's equation. Two special classes of the given Matrix A are further investigated, including circular matrices and those that are equal to some of their powers. Moreover, all the non-commuting solutions are constructed when A is a Householder Matrix, based on a spectral perturbation result.

Agnes T Paras - One of the best experts on this subject based on the ideXlab platform.

  • The ΛS-Householder matrices
    Linear Algebra and its Applications, 2012
    Co-Authors: Kennett L. Dela Rosa, Dennis I Merino, Agnes T Paras
    Abstract:

    AbstractLet J=0I-I0∈M2n(C). Let 0≠u∈C2n be given. A J-Householder Matrix corresponding to u is Hu≡I-uuTJ. We show that every symplectic Matrix is a product of J-Householder matrices. We present properties of J-Householder matrices, and we also present the possible Jordan Canonical Forms of products of two J-Householder matrices

Qixiang Dong - One of the best experts on this subject based on the ideXlab platform.

  • complete commuting solutions of the yang baxter like Matrix equation for diagonalizable matrices
    Computers & Mathematics With Applications, 2016
    Co-Authors: Qixiang Dong, Jiu Ding
    Abstract:

    Let A be a square Matrix that is diagonalizable. We find all the commuting solutions of the quadratic Matrix equation A X A = X A X , by taking advantage of the Jordan form structure of A , together with the help of a well-known theorem on the uniqueness of a solution to Sylvester's equation. Two special classes of the given Matrix A are further investigated, including circular matrices and those that are equal to some of their powers. Moreover, all the non-commuting solutions are constructed when A is a Householder Matrix, based on a spectral perturbation result.

Dong Qixiang - One of the best experts on this subject based on the ideXlab platform.

  • Complete Commuting Solutions of the Yang-Baxter-like Matrix Equation for Diagonalizable Matrices
    'Elsevier BV', 2016
    Co-Authors: Dong Qixiang, Ding Jiu
    Abstract:

    Let A be a square Matrix that is diagonalizable. We find all the commuting solutions of the quadratic Matrix equation AXA = XAX, by taking advantage of the Jordan form structure of A, together with the help of a well-known theorem on the uniqueness of a solution to Sylvester\u27s equation. Two special classes of the given Matrix A are further investigated, including circular matrices and those that are equal to some of their powers. Moreover, all the non commuting solutions are constructed when A is a Householder Matrix, based on a spectral perturbation result. (C) 2016 Elsevier Ltd. All rights reserved