Perturbation analysis of the canonical subspaces

✍ Scribed by Musheng Wei; Alvaro R. De Pierro

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 775 KB
• Volume: 279
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)00004-4

✦ Synopsis

This Paper presents a perturbation analysis of the canonical subspaces of a matrix pair (A,B). It is shown that if the perturbations in the matrices A, B do not Change the ranks of each matrix, then the perturbation bounds of the canonical subspaces depend upon the perturbations and the scaled condition numbers of the matrix pair. as weil as upon the gap of the corresponding canonical correlations.