Accession Number:

AD0770705

Title:

Stability and Convergence of Monotonic Algorithms.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Nickel,Karl L.

Report Date:

1973-09-01

Pagination or Media Count:

33.0

Abstract:

Monotonic numerical algorithms in a partially ordered metric space are considered. Using a termination criterion which is appropriate to the monotonicity, one finds that consistency and local stability imply convergence. Applications to interval analysis are presented. The numerical differentiation of a function is treated as an example. Author

Descriptors:

• ALGORITHMS
• COMPUTATIONS
• APPROXIMATION(MATHEMATICS)
• STABILITY
• CONVERGENCE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE