A general approach to one-step iterative methods with application to eigenvalue problems

✍ Scribed by Steve F. McCormick

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 707 KB
• Volume: 6
• Category: Article
• ISSN: 0022-0000
• DOI: 10.1016/s0022-0000(72)80027-8

✦ Synopsis

This paper considers the problem of finding the zeros of an operator G on a Hilbert space subject to a constraint of the general form P(x) = x. Convergence theorems are given for a class of iterative methods and, using these results, we derive several techniques for solving eigenvalue problems, one of which exhibits "cubic" convergence.