Article ID Journal Published Year Pages File Type
4602471 Linear Algebra and its Applications 2009 8 Pages PDF
Abstract

In this short note we deal with a constructive scheme to decompose a continuous family of matrices A(ρ) asymptotically as ρ→0 into blocks corresponding to groups of eigenvalues of the limit matrix A(0). We also discuss the extension of the scheme to matrix families depending upon additional parameters and operators on Hilbert spaces.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory