Title :
A Matrix-Form LSQR Iterative Method for Solving the Second-Order Sylvester Matrix Equation EXF2+AXF+CX+BY=D
Author_Institution :
Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
Abstract :
In this paper, an iterative method is proposed to solve the second-order Sylvester matrix equation EXF2+AXF+CX+BY=D with unknown matrix pair [X, Y], based on a matrix form of LSQR algorithm. By this iterative method, we can obtain the minimum Frobenius norm solution pair or the minimum Frobenius norm least squares solution pair over some constrained matrices, such as symmetric, generalized bisymmetric and (R, S)-symmetric matrices.
Keywords :
iterative methods; least squares approximations; matrix algebra; bisymmetric matrix; constrained matrix; matrix form LSQR iterative method; minimum Frobenius norm least square solution; second order Sylvester matrix equation; Equations; Iterative algorithm; Iterative methods; Mathematical model; Sparse matrices; Symmetric matrices; Vectors;
Conference_Titel :
Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5391-7
Electronic_ISBN :
978-1-4244-5392-4
DOI :
10.1109/CISE.2010.5676729
