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Comparison theorems for a third order method

✍ Scribed by J.P. Milaszewicz


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
242 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis


It is proved that monotone convergence of a third order bracketing method for nonlinear systems with convexity hypotheses is improved whenever the starting points are chosen corn ponentwise as close to the root as possible.


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## Abstract Utilizing the quadratic functional criteria and positive functionals, the author develops a comparison theorem for oscillation of partial differential equations. This result parallels a comparison of the oscillation of scalar ordinary differential equations to oscillation of vector‐matr