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Iterative Methods for Computing Eigenvalues and Eigenvectors

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arxiv 1105.1185 v1 pith:5XAWMUTB submitted 2011-05-05 math.NA cs.NA

Maysum Panju This is my paper · ORCID
classification math.NAcs.NA
keywords methodmethodscomputingeigenvalueseigenvectorsiterationiterativeadvantages
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We examine some numerical iterative methods for computing the eigenvalues and eigenvectors of real matrices. The five methods examined here range from the simple power iteration method to the more complicated QR iteration method. The derivations, procedure, and advantages of each method are briefly discussed.

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  1. A Full Quantum Eigensolver for Quantum Chemistry Simulations

    quant-ph 2019-08 reject novelty 3.0 of 10

    A quantum gradient-descent (power iteration) algorithm with LCU implementation is proposed for molecular ground-state energies, with numerical demos for H2, LiH, H2O, and NH3.

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