DTIC ADA058005: How to Make the Lanczos pdf

DTIC ADA058005: How to Make the Lanczos

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Description of the Book:

The Paige style Lanczos algorithm is an iterative method for finding a few eigenvalues of large sparse symmetric matrices. Some beautiful relationships among the elements of the eigenvectors of a symmetric tridiagonal matrix are used to derive a perverse starting vector which delays convergence as long as possible. Why such slow convergence is never seen in practice is also examined. (Author

• Creator/s: Defense Technical Information Center
• Date: 1/12/1978
• Year: 1978
• Book Topics/Themes: DTIC Archive, Scott, D S, CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB, *CONVERGENCE, ALGORITHMS, EIGENVALUES, SPARSE MATRIX, ITERATIONS

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