A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues
1980
Abstract The Leverrier algorithm as modified by Faddeev gives the characteristic equation of a matrix A , its inverse, and the eigenvector corresponding to a simple eigenvalue λ of A . These results are extended (1) to give a generalized inverse when A is not of full rank and (2) to examine the modification required when λ is a multiple eigenvalue.
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