Solution of a complex quadratic eigenvalue problem
Abstract
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 2n, depending on the linearization technique used. To get satisfactory results using the CDC 6000 series computer, doubleprecision 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.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 1977
 DOI:
 10.1002/nme.1620110110
 Bibcode:
 1977IJNME..11...99G
 Keywords:

 Double Precision Arithmetic;
 Eigenvalues;
 Linearization;
 Pipe Flow;
 Subroutines;
 Cdc 6000 Series Computers;
 Error Analysis;
 Run Time (Computers);
 Truncation Errors;
 Fluid Mechanics and Heat Transfer