Combining the preconditioned conjugate gradient method and a matrix iterative method

Jan Zítko

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Displaying similar documents to “Combining the preconditioned conjugate gradient method and a matrix iterative method”

Improving the convergence of iterative methods

Jan Zítko (1983)

Aplikace matematiky

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The author considers the operator equation $x = T x + b$ . Methods for acceleration of convergence of the iterative process $x_{n + 1)} = T x_{n} + b$ are investigated.

Variable metric method with limited storage for large-scale unconstrained minimization

Ladislav Lukšan (1982)

Kybernetika

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An efficient algorithm for computing real powers of a matrix and a related matrix function

Jan Ježek (1988)

Aplikace matematiky

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The paper is devoted to an algorithm for computing matrices $A^{r}$ and $(A^{r} - I) . {(A - I)}^{- 1}$ for a given square matrix $A$ and a real $r$ . The algorithm uses the binary expansion of $r$ and has the logarithmic computational complexity with respect to $r$ . The problem stems from the control theory.