Premium
Solution of a complex quadratic eigenvalue problem
Author(s) -
Gignac Donald A.
Publication year - 1977
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620110110
Subject(s) - eigenvalues and eigenvectors , subroutine , linearization , eigenvalue algorithm , matrix (chemical analysis) , quadratic equation , mathematics , computation , series (stratigraphy) , algorithm , computer science , symmetric matrix , square matrix , geometry , physics , nonlinear system , paleontology , materials science , quantum mechanics , composite material , biology , operating system
A complex quadratic eigenvalue problem of order n ( n = 20, 30, 40,…) encountered in an investigation of pipe flow was reduced to that of computing the eigenvalues of either a real or a complex matrix of order 2 n , depending on the linearization technique used. To get satisfactory results using the CDC 6000 series computer, double‐precision versions of certain widely used and highly regarded eigenvalue subroutines were required. Although the modified subroutines used for the real matrix computations required less core than those used for the complex matrix, the calculation time was not significantly faster than that for the complex matrix. The use of ‘balancing’ subroutines merits further investigation.