Geodesic
On quasidefinite matrices with a parameter in the off-diagonal block
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1620-1624 
A. George; Kh. D. Ikramov. On quasidefinite matrices with a parameter in the off-diagonal block. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1620-1624. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_10_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Vanderbei R. J., “Symmetric quasi-definite matrices”, SIAM J. Optimizat., 5 (1995), 100–113 | DOI | MR | Zbl

[2] Gill P. E., Saunders M. A., Shinnerl J. R., “On the stability of Cholesky factorization for symmetric quasi-definite systems”, SIAM J. Matrix Analys. and Appl., 17 (1996), 35–46 | DOI | MR | Zbl

[3] van Kempen H., “Variation of the eigenvalues of a special class of Hermitian matrices upon variation of some of its elements”, Linear Algebra and Appl., 3 (1970), 263–273 | DOI | MR

[4] Thompson R. C., “The eigenvalues of a partitioned Hermitian matrix involving a parameter”, Linear Algebra and Appl., 9 (1974), 243–260 | DOI | MR | Zbl

[5] Uilkinson Dzh. Ch., Algebraicheskaya problema sobstvennykh znachenii, Nauka, M., 1970