Approximating Matrix Eigenvalues by Subspace Iteration with Repeated Random Sparsification

نویسندگان

چکیده

Traditional numerical methods for calculating matrix eigenvalues are prohibitively expensive high-dimensional problems. Iterative random sparsification allow the estimation of a single dominant eigenvalue at reduced cost by leveraging repeated sampling and averaging. We present general approach to extending such multiple demonstrate its performance several benchmark problems in quantum chemistry.

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ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2022

ISSN: ['1095-7197', '1064-8275']

DOI: https://doi.org/10.1137/21m1422513