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A convergence result for discrete steepest descent in weighted Sobolev spaces

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Publication:1809789
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DOI10.1155/S1085337597000274zbMath0941.65051MaRDI QIDQ1809789

W. Ted Mahavier

Publication date: 25 November 1999

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48482


zbMATH Keywords

convergenceweighted Sobolev spacesSobolev gradientsdiscrete steepest descentEuclidean descentSobolev descent


Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)


Related Items (4)

Single-iteration Sobolev descent for linear initial value problems ⋮ Sobolev space preconditioning for Newton's method using domain decomposition ⋮ An alternative mathematical algorithm for the photo- and videokeratoscope ⋮ A link between the steepest descent method and fixed-point iterations







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