A GEOMETRIC CONVERGENCE THEORY FOR THE QR, RAYLEIGH QUOTIENT, AND POWER ITERATIONS.
Abstract
The basic QR, LU, treppen, and bi-iterations are shown to produce the same sequence of subspaces as do direct and inverse iteration started from the appropriate subspaces. The methods differ only in the bases with which these subspaces are defined. A unified, complete geometric convergence theory is developed in terms of the power method. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1970
- Accession Number
- AD0712444
Entities
People
- William George Poole Jr
Organizations
- University of California, Berkeley