Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079071485> ?p ?o ?g. }
- W2079071485 abstract "We present a Monte Carlo algorithm that allows the simultaneous determination of a few extremal eigenpairs of a very large matrix without the need to compute the inner product of two vectors or store all the components of any one vector. The new algorithm, a Monte Carlo implementation of a deterministic one we recently benchmarked, is an extension of the power method. In the implementation presented, we used a basic Monte Carlo splitting and termination method called the comb, incorporated the weight cancellation method of Arnow {it et al.}, and exploited a new sampling method, the sewing method, that does a large state space sampling as a succession of small state space samplings. We illustrate the effectiveness of the algorithm by its determination of the two largest eigenvalues of the transfer matrices for variously-sized two-dimensional, zero field Ising models. While very likely useful for other transfer matrix problems, the algorithm is however quite general and should find application to a larger variety of problems requiring a few dominant eigenvalues of a matrix." @default.
- W2079071485 created "2016-06-24" @default.
- W2079071485 creator A5038135090 @default.
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- W2079071485 date "2009-10-16" @default.
- W2079071485 modified "2023-10-16" @default.
- W2079071485 title "Monte Carlo determination of multiple extremal eigenpairs" @default.
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- W2079071485 doi "https://doi.org/10.1103/physreve.80.046704" @default.
- W2079071485 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19905479" @default.
- W2079071485 hasPublicationYear "2009" @default.
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