wz factorization via abay-broyden-spedicato algorithms

نویسندگان

effat golpar-raboky

n. mahdavi-amiri

چکیده

classes of‎ ‎abaffy-broyden-spedicato (abs) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎the algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎here‎, ‎we show how to apply the abs algorithms to devise algorithms to compute the wz and zw‎ ‎factorizations of a nonsingular matrix as well as the $w^tw$ and‎ ‎$z^tz$‎ ‎factorizations of a symmetric positives definite matrix‎. ‎we also describe the qz and the‎ ‎ qw  factorizations‎, ‎with q orthogonal‎, ‎and show how to appropriate the parameters of the abs algorithms to compute these factorizations‎.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 2 2014

میزبانی شده توسط پلتفرم ابری doprax.com

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