Efficient eigenvalue computation on the Maspar

Yan Huo; Robert Schreiber

doi:10.1117/12.160461

1 November 1993 Efficient eigenvalue computation on the Maspar

Yan Huo, Robert Schreiber

Proceedings Volume 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV; (1993) https://doi.org/10.1117/12.160461
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Many applications of the eigenvalue decomposition of dense matrices are well known. This work was prompted by research in the numerical simulation of disordered electronic systems, in which one of the most common approaches is to diagonalize random Hamiltonian matrices in order to study the eigenvalues and eigenfunctions of a single electron in the presence of a random potential. In this paper, we describe an effort to implement a matrix diagonalization routine for real symmetric dense matrices on massively parallel SIMD computers, the Maspar MP-1 and MP-2 systems. Results of numerical tests and timings are also presented.

Citation Download Citation

Yan Huo and Robert Schreiber "Efficient eigenvalue computation on the Maspar", Proc. SPIE 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV, (1 November 1993); https://doi.org/10.1117/12.160461

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