On the implementation of some residual minimizing Krylov space methods
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- Rozložník M., Strakoš Z. (1995) On the implementation of some residual minimizing Krylov space methods. In: Bartosek M., Staudek J., Wiedermann J. (eds) SOFSEM '95: Theory and Practice of Informatics. SOFSEM 1995. Lecture Notes in Computer Science, vol 1012. Springer, Berlin, Heidelberg
Several variants of the GMRES method for solving linear nonsingular systems of algebraic equations are described. These variants differ in building up different sets of orthonormalized vectors used for the construction of the approximate solution. A new ATA-variant of GMRES is proposed and the efficient implementation of the algorithm is discussed.
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