A unified derivation of quasi-Newton methods for solving non-sparse and sparse nonlinear equations

DOI10.1007/BF02253132zbMath0391.65017OpenAlexW172791274MaRDI QIDQ1251457

Reginald P. Tewarson

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02253132

zbMATH Keywords

Nonsparse SystemQuasinewton MethodsSparse Nonlinear Equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (5)

Using quasi-Newton methods for kidney modeling equations ⋮ A quasi-Gauss-Newton method for solving nonlinear algebraic equations ⋮ A quasi-Newton method for solving nonlinear algebraic equations ⋮ Use of physiological connectivity in solving renal concentrating mechanism equations ⋮ On the generation of updates for quasi-Newton methods

Cites Work

• On variable-metric algorithms
• On the use of generalized inverses in function minimization
• Regression and the Moore-Penrose pseudoinverse
• Quasi-Newton Methods, Motivation and Theory
• Use of Smoothing and Damping Techniques in the Solution of Nonlinear Equations
• On Sparse and Symmetric Matrix Updating Subject to a Linear Equation
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• On the Local Convergence of Update Methods
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• A Family of Variable-Metric Methods Derived by Variational Means
• Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
• A Note on Generalized Interpolation and the Pseudoinverse
• Variations on Variable-Metric Methods
• Variable metric methods of minimisation
• The Convergence of an Algorithm for Solving Sparse Nonlinear Systems

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