The Limitations of Jacobi Methods for Triangulating Square Matrices.
CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
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Jacobi methods for symmetric matrices have prompted the search for generalizations to reduce any complex square matrix to upper triangular form using unitary similarity transformations. All attempts have been unsuccessful. It is not the case that all previous investigators have failed to find the right algorithm, It is shown here that there are intrinsic limitations on Jacobi-type procedures. Author
- Theoretical Mathematics