Article ID Journal Published Year Pages File Type
4603448 Linear Algebra and its Applications 2007 12 Pages PDF
Abstract

The m-th root of the diagonal of the upper triangular matrix Rm in the QR decomposition of AXmB = QmRm converges and the limit is given by the moduli of the eigenvalues of X with some ordering, where A,B,X∈Cn×n are nonsingular. The asymptotic behavior of the strictly upper triangular part of Rm is discussed. Some computational experiments are discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory