Nonlinear iterative methods and parallel computation
Fridrich Sloboda (1976)
Aplikace matematiky
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Fridrich Sloboda (1976)
Aplikace matematiky
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Emilio Spedicato, Maria Teresa Vespucci (1993)
Applications of Mathematics
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In this paper we compare the numerical performance on a set of ill conditioned problems of several algorithms for linear systems based upon the explicit QR factorization and the implicit LQ factorization associated with the Huang and the modified Huang algorithms in the ABS class. The results indicate that the modified Huang algorithm is generally more accurate than the Huang algorithm and competitive with commercial codes based upon the QR factorization with Householder of Givens reflections....
Ghodsi, Seyed Roholah, Taeibi-Rahni, Mohammad (2010)
Mathematical Problems in Engineering
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Krzysztof Janiszowski (2003)
International Journal of Applied Mathematics and Computer Science
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An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced...