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