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Eigensystem computation for skew-symmetric matrices and a class of symmetric matrices. [Subroutines TRIZD, IMZD, and TBAKZD in FORTRAN for IBM 360/91 computer]

Technical Report ·
DOI:https://doi.org/10.2172/7350249· OSTI ID:7350249
;
An algorithm is given for computing the eigenvalues and (optionally) the eigenvectors of either a skew-symmetric matrix or a symmetric tridiagonal matrix with constant diagonal. The algorithm uses only orthogonal similarity transformations, and is believed to be the most efficient algorithm available for computing all the eigenvalues or the complete eigensystem. 2 tables.
Research Organization:
Oak Ridge National Lab., Tenn. (USA)
DOE Contract Number:
W-7405-ENG-26
OSTI ID:
7350249
Report Number(s):
ORNL/CSD-9
Country of Publication:
United States
Language:
English

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Eigensystem computation for skew-symmetric matrices and a class of symmetric matrices
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Related Subjects

653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS
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ALGORITHMS
COMPUTER CALCULATIONS
COMPUTER CODES
COMPUTERS
EIGENVALUES
EIGENVECTORS
FORTRAN
I CODES
IBM COMPUTERS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATRICES
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PROGRAMMING LANGUAGES
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