Solving large scale systems of linear equations with a stabilized Lanczos-type algorithms running on a cloud computing platform
Sign Up to like & getrecommendations! Published in 2018 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2018.561
Abstract: The Lanczos-type algorithms for Systems of Linear Equations (SLEs) are efficient but fragile. A number of ways to resolve this issue have been suggested. But, the problem is still not fully sorted, in our view.… read more here.
Keywords: type algorithms; systems linear; linear equations; type ... See more keywords
Enhancing the Stability of Lanczos-type Algorithms by Embedding Interpolation and Extrapolation for the Solution of Systems of Linear Equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical and Fundamental Sciences"
DOI: 10.5614/j.math.fund.sci.2018.50.2.4
Abstract: A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this sequence… read more here.
Keywords: type; type algorithms; interpolation extrapolation; lanczos type ... See more keywords