Accession Number:

ADA017506

Title:

The Limitations of Jacobi Methods for Triangulating Square Matrices.

Descriptive Note:

Final rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

Personal Author(s):

• Wang,Ying

Report Date:

1975-10-17

Pagination or Media Count:

54.0

Abstract:

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

Descriptors:

• *Matrices(Mathematics)
• *Triangulation
• Transformations(Mathematics)
• Algorithms
• Theorems
• Limitations
• Eigenvectors
• Complex numbers

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE