Article ID Journal Published Year Pages File Type
4636418 Applied Mathematics and Computation 2007 8 Pages PDF
Abstract

An iteration method for the matrix equation AX = B is constructed. By this iteration method, the least-norm solution for the matrix equation can be obtained when the matrix equation is consistent and the least-norm least-squares solutions can be obtained when the matrix equation is not consistent. The related optimal approximation solution is also obtained by this iteration method. A preconditioned method for improving the iteration rate is put forward. Finally, some numerical examples are given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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