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Reducing complex matrices to condensed forms by unitary congruence transformations.
- Source :
-
Mathematical Notes . Oct2007, Vol. 82 Issue 3/4, p492-500. 9p. - Publication Year :
- 2007
-
Abstract
- We show that any n × n conjugate-normal matrix can be brought by a unitary congruence transformation to block-tridiagonal form with the orders of the consecutive diagonal blocks not exceeding 1, 2, 3, ..., respectively. The proof is constructive; namely, a finite process is described that implements the reduction to the desired form. Sufficient conditions are indicated for the orders of the diagonal blocks to stabilize. In this case, the condensed form is a band matrix. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 82
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 32853717
- Full Text :
- https://doi.org/10.1134/S0001434607090258