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• W2311899478 abstract "Calculating portions of eigenvalues and eigenvec- tors of matrices or matrix pencils has many applications. An approach to this calculation for Hermitian problems based on a density matrix has been proposed in 2009 and a software package called FEAST has been developed. The density-matrix approach allows FEAST's implementation to exploit a key strength of modern computer architectures, namely, multiple levels of parallelism. Consequently, the software package has been well received and subsequently commercialized. A de- tailed theoretical analysis of Hermitian FEAST has also been established very recently. This paper generalizes the FEAST algorithm and theory, for the first time, to tackle non-Hermitian problems. Fundamentally, the new algorithm is basic subspace iteration or Bauer bi-iteration, except applied with a novel accelerator based on Cauchy integrals. The resulting algorithm retains the multi-level parallelism of Hermitian FEAST, making it a valuable new tool for large-scale computational science and engineering problems on leading-edge computing platforms." @default.
• W2311899478 created "2016-06-24" @default.
• W2311899478 creator A5021984420 @default.
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• W2311899478 date "2015-01-01" @default.
• W2311899478 modified "2023-09-24" @default.
• W2311899478 title "Subspace Iteration on Steroids - A New Highly P arallel Non-Hermitian Eigensolver" @default.
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• W2311899478 hasPublicationYear "2015" @default.
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