Conjugate direction algorithms for extended conic functions
Ladislav Lukšan (1986)
Kybernetika
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Displaying similar documents to “Explicit conjugate gradient method with preconditioning”
Conjugate direction algorithms for extended conic functions
Conjugate gradient algorithms for conic functions
Ladislav Lukšan (1986)
Aplikace matematiky
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The paper contains a description and an analysis of two modifications of the conjugate gradient method for unconstrained minimization which find a minimum of the conic function after a finite number of steps. Moreover, further extension of the conjugate gradient method is given which is based on a more general class of the model functions.
Variations on the Gram-Schmidt and the Huang algorithms for linear systems: A numerical study
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....
Multi-level method in eigenvalue problem
Petr Vaněk (1994)
Applications of Mathematics
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One method for computing the least eigenvalue of a positive definite matrix of order is described.