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On Quadratic Approximation

Authors :
R. E. Shafer
Source :
SIAM Journal on Numerical Analysis. 11:447-460
Publication Year :
1974
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 1974.

Abstract

Quadratic approximation is a three-dimensional analogue of the two-dimensional Pade approximation. The advantages of employing quadratic approximation are demonstrated by several examples. With automatic computers having a relatively inexpensive square root instruction, quadratic approximation is an attractive alternative to Pade approximation if convergence of the Pade approximation is not rapid.

Subjects

Subjects :
Numerical Analysis
Mathematics::Complex Variables
Applied Mathematics
Mathematical analysis
Mathematics::Classical Analysis and ODEs
Minimax approximation algorithm
Mathematics::Numerical Analysis
Nonlinear Sciences::Chaotic Dynamics
Computational Mathematics
Quadratic equation
Muffin-tin approximation
Square root
Approximation error
Convergence (routing)
Condensed Matter::Statistical Mechanics
Padé approximant
Spouge's approximation
Mathematics

Details

ISSN :
10957170 and 00361429
Volume :
11
Database :
OpenAIRE
Journal :
SIAM Journal on Numerical Analysis
Accession number :
edsair.doi...........aa0fe9a1faf157ae2ad2eefa9beb00ea

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Authors Abstract Subjects Details