On the use of generalized inverses in function minimization

DOI10.1007/BF02238809zbMath0215.55505OpenAlexW1544566201MaRDI QIDQ2545840

Reginald P. Tewarson

Publication date: 1970

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238809

Mathematics Subject Classification ID

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

Related Items (6)

Variationally derived algorithms in the ABS class for linear systems ⋮ Approximation methods for the unconstrained optimization ⋮ On some classes of variationally derived quasi-Newton methods for systems of nonlinear algebraic equations ⋮ A unified derivation of quasi-Newton methods for solving non-sparse and sparse nonlinear equations ⋮ On the uniqueness of search directions in variable metric algorithms ⋮ On the convergence of variable-metric methods

Cites Work

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• Approximate pseudoinverse solutions to ill-conditioned linear systems
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• A Rapidly Convergent Descent Method for Minimization
• Quasi- Newton Methods for Nonlinear Equations
• On a Numerical Instability of Davidon-Like Methods
• Solving linear least squares problems by Gram-Schmidt orthogonalization
• Some comments on the solution of linear equations
• A Note on Generalized Interpolation and the Pseudoinverse
• Variable metric methods of minimisation
• A KDF9 ALGOL list-processing scheme
• A method for the solution of certain non-linear problems in least squares

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