Block-diagonalisation of matrices and operators

Details Block-diagonalisation of matrices and operators Block-diagonalisation of matrices and operators

2008-10-14

arxiv.org/abs/0810.2446v1

Lin. Alg. Appl. 431:895-902, 2009

Mathematics

Functional Analysis

8 pages

Scientific paper

10.1016/j.laa.2009.03.044

In this short note we deal with a constructive scheme to decompose a
continuous family of matrices $A(\rho)$ asymptotically as $\rho\to0$ 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.

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