SolveSylvester: SolveSylvester

In lingxuko/pack: Function used to solve Sylvester equation AX + XB = C

Description

Function used to solve Sylvester equation AX + XB = C. This Package contains a function called Solvesylvester() This function can be used to solve standard sylvester equations like AX + XB = C, where A, B, C are all square matrices with same dimensions. Also, this function allows input matrices and real numbers, if real number is 0, it will degenerate to simple matrix equation. Input can be (Matrix, number, Matrix) or (number, Matrix, Matrix) or (Matrix, Matrix, Matrix), other input are not supported.

Usage

SolveSylvester(A, B, C)

Arguments

A	A square Matrix or a real number,
B	A square Matrix or a real number.
C	A Matrix fits certain conditions.

Value

A solve of AX + XB = C, which is a Matrix.

Examples

SolveSylvester(matrix(c(1,0,-1,2,1,0,0,0,-1),3,3,byrow = TRUE),
matrix(c(2,1,0,0),2,2,byrow = TRUE),
matrix(c(2,2,1,1,1,1),3,2))

SolveSylvester(matrix(c(1,0,-1,2,1,0,0,0,-1),3,3,byrow = TRUE),
2,
matrix(c(2,2,1,1,1,1,3,4),3,3))

lingxuko/pack documentation built on Dec. 21, 2021, 10:50 a.m.