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 · Sat May 01 00:00:00 EDT 1976

DOI:https://doi.org/10.2172/7350249· OSTI ID:7350249

Ward, R C; Gray, L J

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. (ORNL), Oak Ridge, TN (United States)
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 7350249
• Report Number(s): ORNL/CSD-9; TRN: 76-016851
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPUTER CODES
I CODES
T CODES
MATRICES
EIGENVALUES
EIGENVECTORS
NUCLEAR MODELS
COMPUTER CALCULATIONS
ALGORITHMS
FORTRAN
IBM COMPUTERS
COMPUTERS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
PROGRAMMING LANGUAGES
990200* - Mathematics & Computers
653007 - Nuclear Theory- Nuclear Models- (-1987)