Accession Number:

AD0729282

Title:

On the Convergence of the Conjugate Gradient Method of Singular Linear Operator Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Krammerer,W. J.
• Nashed,M. Z.

Report Date:

1971-07-01

Pagination or Media Count:

39.0

Abstract:

Convergence of the conjugate gradient method is established for the minimization of fx 11Tx - y11 squared, when T is an arbitrary bounded linear operator between two Hilbert spaces. Different rates of convergence are obtained depending on whether or not the range of T is closed. Author

Descriptors:

• *ITERATIONS
• CONVERGENCE
• HILBERT SPACE

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE