Implicit and adaptive inverse preconditioned gradient methods for nonlinear problems

DOI10.1016/j.apnum.2004.10.004zbMath1078.65049OpenAlexW2043019932MaRDI QIDQ2387319

Jean-Paul Chehab, Marcos Raydan

Publication date: 2 September 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.10.004

zbMATH Keywords

numerical resultslarge-scale problemsUnconstrained minimizationNonlinear Poisson equationInverse preconditionersODE preconditionersPreconditioned gradient methodRoots of matrices

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (4)

Sparse approximations of matrix functions via numerical integration of ODEs ⋮ Inexact Newton's method with inner implicit preconditioning for algebraic Riccati equations ⋮ An implicit preconditioning strategy for large-scale generalized Sylvester equations ⋮ Residual methods for the large-scale matrix \(p\)th root and some related problems

Cites Work

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• Two-Point Step Size Gradient Methods
• Nonlinear hybrid procedures and fixed point iterations
• On the Barzilai and Borwein choice of steplength for the gradient method

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