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• W2278459213 abstract "Polynomial filtering can provide a highly effective means of computing all eigenvalues of a real symmetric (or complex Hermitian) matrix that are located in a given interval, anywhere in the spectrum. This paper describes a technique for tackling this problem by combining a Thick-Restart version of the Lanczos algorithm with deflation (`locking') and a new type of polynomial filters obtained from a least-squares technique. The resulting algorithm can be utilized in a `spectrum-slicing' approach whereby a very large number of eigenvalues and associated eigenvectors of the matrix are computed by extracting eigenpairs located in different sub-intervals independently from one another." @default.
• W2278459213 created "2016-06-24" @default.
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• W2278459213 date "2015-12-26" @default.
• W2278459213 modified "2023-09-30" @default.
• W2278459213 title "A Thick-Restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems" @default.
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• W2278459213 doi "https://doi.org/10.48550/arxiv.1512.08135" @default.
• W2278459213 hasPublicationYear "2015" @default.
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