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Zeitschrift für Analysis und ihre Anwendungen

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Volume 13, Issue 1, 1994, pp. 137–153
DOI: 10.4171/ZAA/520

Published online: 1994-03-31

Extending Chains of Factorizations and Minimal Negative Signatures

Tiberiu Constantinescu[1] and Aurelian Gheondea[2]

(1) University of Texas at Dallas, United States
(2) Bilkent University, Bilkent, Ankara, Turkey

We compute the minimal negative signature for a problem of extending chains of factorizations in spaces with indefinite inner product spaces. As an application, we obtain a formula for the minimal negative signature of Hermitian completions of tridiagonal partial block matrices.

Keywords: Indefinite factorization, negative signature, tridiagonal matrices

Constantinescu Tiberiu, Gheondea Aurelian: Extending Chains of Factorizations and Minimal Negative Signatures. Z. Anal. Anwend. 13 (1994), 137-153. doi: 10.4171/ZAA/520