Title :
The Characteristic Polynomials for a Class of Eigenvalue Problems
Author :
Hassab, Joseph C.
Author_Institution :
Special Projects Group, Naval Underwater Systems Center
Abstract :
Characteristic polynomials are here generated for a class of eigenvalue problems using the singularity condition previously encountered in the solution of corresponding forced system. The process is efficient and requires n2/2 operations in contrast to n3 operations required by techniques such as the Leverrier-Faddeev method.
Keywords :
Characteristic polynomial, linear transformation, minimized computer operations.; Character generation; Eigenvalues and eigenfunctions; Equations; Numerical analysis; Polynomials; Vectors; Characteristic polynomial, linear transformation, minimized computer operations.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1974.224061
