Accession Number:

AD0648171

Title:

ITERATIVE METHODS FOR SOLVING NONLINEAR LEAST SQUARES PROBLEMS.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Pereyra,Victor

Report Date:

1966-02-01

Pagination or Media Count:

22.0

Abstract:

A class of iterative methods for solving nonlinear least squares problems is presented and a convergence theorem with error estimations is proved. The theorem is then specialized for the case of the Gauss-Newton method, and an algorithm for checking automatically the conditions for convergence is included. Some numerical examples are discussed. Author

Descriptors:

• (*ITERATIONS
• *LEAST SQUARES METHOD)
• EQUATIONS
• THEOREMS
• MATRICES(MATHEMATICS)
• CONVERGENCE
• ALGORITHMS
• TRANSFORMATIONS(MATHEMATICS)

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE