Abstract
The FORTRAN codes in this chapter address the question of computing distinct eigenvalues and eigenvectors of a nondefective, complex symmetric matrix, using a single-vector Lanczos procedure. For a given nondefective, complex symmetric matrix A, these codes compute complex scalars À and corresponding complex vectors x ≠ 0 such that (7.1.1) Definition 7.1.1 A complex nxn matrix A ≡ (aij), 1 ≤ i,j ≤ n, is complex symmetric if and only if for every i and j, aij = aji. A complex symmetric matrix is nondefective if and only if it has a complete set of eigenvectors.
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