Szukana fraza: [Abstract = "Therefore, we propose synchronization\-reducing variants of the Lanczos, as well as BiCG and QMR methods, in an attempt to mitigate these negative performance effects. These so\-called s\-step algorithms are based on grouping dot products for joint execution and replacing time\-consuming matrix operations by efficient vector recurrences. The purpose of this paper is to provide a rigorous derivation of the recurrences for the s\-step Lanczos algorithm, introduce s\-step BiCG and QMR variants, and compare the parallel performance of these new s\-step versions with previous algorithms."]