On the solving of matrix equation of Sylvester type
Authors
Abstract:
A solution of two problems related to the matrix equation of Sylvester type is given. In the first problem, the procedures for linear matrix inequalities are used to construct the solution of this equation. In the second problem, when a matrix is given which is not a solution of this equation, it is required to find such solution of the original equation, which most accurately approximates the given matrix. For this, an algorithm for constructing a general solution of the Sylvester matrix equation is used. The effectiveness of the proposed approaches is illustrated on the examples.
similar resources
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
full textabs method for solving fuzzy sylvester matrix equation
the main aim of this paper intends to discuss the solution of fuzzy sylvester matrix equation
full textthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
ABS Method for Solving Fuzzy Sylvester Matrix Equation
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation AX +XB = C where A = (aij) ∈ Rn×n , B = (bij) ∈ Rm×m are crisp Mmatrices, C = (cij) ∈ Rn×m is fuzzy matrix and X ∈ Rn×m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At first, we transform this system to an (mn)×(mn) fuzzy system of linear equatio...
full textGlobal conjugate gradient method for solving large general Sylvester matrix equation
In this paper, an iterative method is proposed for solving large general Sylvester matrix equation $AXB+CXD = E$, where $A in R^{ntimes n}$ , $C in R^{ntimes n}$ , $B in R^{stimes s}$ and $D in R^{stimes s}$ are given matrices and $X in R^{stimes s}$ is the unknown matrix. We present a global conjugate gradient (GL-CG) algo- rithm for solving linear system of equations with multiple right-han...
full textOn the solution of the fuzzy Sylvester matrix equation
In this paper, we consider the fuzzy Sylvester matrix equation AX + XB = C, where A ∈ Rn×n and B ∈ Rm×m are crisp M-matrices, C is an n×m fuzzy matrix and X is unknown. We first transform this system to an (mn)× (mn) fuzzy system of linear equations. Then we investigate the existence and uniqueness of a fuzzy solution to this system. We use the accelerated overrelaxation method to compute an ap...
full textMy Resources
Journal title
volume 7 issue 1
pages 96- 104
publication date 2019-01-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023