Indefinite QR Factorization (CROSBI ID 128271)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Singer, Sanja
engleski
Indefinite QR Factorization
Let $A$ be a Hermitian positive definite matrix given by its rectangular factor $G$ such that $A = G^{; ; ; \ast}; ; ; G$. It is well known that the Cholesky factorization of $A$ is equivalent to the QR factorization of $G$. In this paper, an analogue of the QR factorization for Hermitian indefinite matrices is constructed. This problem has been considered by many authors, but the problem of zero diagonal elements has not been solved so far. Here we show how to overcome this difficulty.
block $J$--rotations ; indefinite QR factorization
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Podaci o izdanju
46 (1)
2006.
141-161
objavljeno
0006-3835
1572-9125
10.1007/s10543-006-0044-5