Contributed Papers

SOFSEM '95: Theory and Practice of Informatics

Volume 1012 of the series Lecture Notes in Computer Science pp 449-454

Date:

On the implementation of some residual minimizing Krylov space methods

  • M. RozložníkAffiliated withInstitute of Computer Science, Academy of Sciences of the Czech Republic
  • , Z. StrakošAffiliated withInstitute of Computer Science, Academy of Sciences of the Czech Republic

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Abstract

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 A T A-variant of GMRES is proposed and the efficient implementation of the algorithm is discussed.