Computational optimization and applications, ISSN 1573-2894, 2014, Volume 60, Issue 3, pp. 545 - 557

... for mathematical optimization Nicholas I. M. Gould Dominique Orban Philippe L. Toint Received: 2 April 2014 / Published online: 24 August 2014 Crown Copyright 2014 Abstract...

Benchmarking | CUTE | CUTEst | Modeling | Optimization | CUTEr | NONLINEAR OPTIMIZATION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | Mathematical optimization | Analysis | Studies | Computer science | Benchmarks | Test methods | Constraints | Computation | Dynamics | FORTRAN | Evolution | Mathematical models | Decoders | Matlab

Benchmarking | CUTE | CUTEst | Modeling | Optimization | CUTEr | NONLINEAR OPTIMIZATION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | Mathematical optimization | Analysis | Studies | Computer science | Benchmarks | Test methods | Constraints | Computation | Dynamics | FORTRAN | Evolution | Mathematical models | Decoders | Matlab

Journal Article

Mathematical programming, ISSN 1436-4646, 2009, Volume 127, Issue 2, pp. 245 - 295

.... Part I: motivation, convergence and numerical results Coralia Cartis Â· Nicholas I. M. Gould Â· Philippe L. Toint Received: 1 October 2007 / Accepted: 15 April 2009...

58C15 | Global convergence | Unconstrained optimization | 65K05 | Theoretical, Mathematical and Computational Physics | Nonlinear optimization | Newtonâ€™s method | Mathematics | Trust-region methods | Mathematical Methods in Physics | 90C30 | 65F10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 49M37 | 49M15 | Combinatorics | Local convergence | 65H05 | Cubic regularization | Newtons method | MATHEMATICS, APPLIED | FAST ALGORITHM | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATRICES | Newton's method | NEWTON | Mathematical optimization | Analysis | Methods | Studies | Algorithms | Nonlinear programming | Mathematical analysis | Optimization | Approximation | Adaptive algorithms | Arc cutting | Mathematical models | Proposals | Convergence

58C15 | Global convergence | Unconstrained optimization | 65K05 | Theoretical, Mathematical and Computational Physics | Nonlinear optimization | Newtonâ€™s method | Mathematics | Trust-region methods | Mathematical Methods in Physics | 90C30 | 65F10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 49M37 | 49M15 | Combinatorics | Local convergence | 65H05 | Cubic regularization | Newtons method | MATHEMATICS, APPLIED | FAST ALGORITHM | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATRICES | Newton's method | NEWTON | Mathematical optimization | Analysis | Methods | Studies | Algorithms | Nonlinear programming | Mathematical analysis | Optimization | Approximation | Adaptive algorithms | Arc cutting | Mathematical models | Proposals | Convergence

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2003, Volume 29, Issue 4, pp. 373 - 394

...CUTEr and SifDec: A Constrained and Unconstrained Testing Environment, revisited NICHOLAS I. M. GOULD Rutherford Appleton Laboratory DOMINIQUE ORBAN...

testing environment | Nonlinearly constrained optimization | heterogeneous environment | shared filesystems | SIF format | Testing environment | Heterogeneous environment | Shared filesystems | nonlinearly constrained optimization | algorithms | MATHEMATICS, APPLIED | reliability | ALGORITHM | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | experimentation | TRUST-REGION | verification | Mathematical software | Research

testing environment | Nonlinearly constrained optimization | heterogeneous environment | shared filesystems | SIF format | Testing environment | Heterogeneous environment | Shared filesystems | nonlinearly constrained optimization | algorithms | MATHEMATICS, APPLIED | reliability | ALGORITHM | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | experimentation | TRUST-REGION | verification | Mathematical software | Research

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 06/2007, Volume 33, Issue 2, pp. 10 - es

...A Numerical Evaluation of Sparse Direct Solvers for the Solution of Large Sparse Symmetric Linear Systems of Equations NICHOLAS I. M. GOULD and JENNIFER...

software | Sparse matrices | Gaussian elimination | direct solvers | symmetric linear systems | Direct solvers | Software | Symmetric linear systems | algorithms | MATHEMATICS, APPLIED | FACTORIZATION | DESIGN | SET | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | PARALLEL ALGORITHMS | ROW | sparse matrices | Linear systems | Usage | Algorithms | Analysis | Gaussian processes

software | Sparse matrices | Gaussian elimination | direct solvers | symmetric linear systems | Direct solvers | Software | Symmetric linear systems | algorithms | MATHEMATICS, APPLIED | FACTORIZATION | DESIGN | SET | COMPUTER SCIENCE, SOFTWARE ENGINEERING | performance | PARALLEL ALGORITHMS | ROW | sparse matrices | Linear systems | Usage | Algorithms | Analysis | Gaussian processes

Journal Article

Mathematical Programming, ISSN 0025-5610, 1/2017, Volume 161, Issue 1, pp. 73 - 134

... Frank E. Curtis 1 Â· Nicholas I. M. Gould 2 Â· Daniel P. Robinson 3 Â· Philippe L. Toint 4 Received: 20 December 2013 / Accepted: 8 March 2016 / Published online: 7...

65K05 | Theoretical, Mathematical and Computational Physics | Nonlinear optimization | Funnel mechanism | Mathematics | 90C26 | Trust-region methods | Constrained optimization | Barrier-SQP methods | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | 65F22 | Numerical Analysis | 90C55 | Large-scale optimization | 49M37 | Combinatorics | EQUALITY CONSTRAINED OPTIMIZATION | MATHEMATICS, APPLIED | PENALTY-FUNCTION | FILTER | IMPLEMENTATION | STEP | 2ND-DERIVATIVE SQP METHOD | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GLOBAL CONVERGENCE | REGION METHOD | Analysis | Algorithms | Numerical analysis | Studies | Nonlinear programming | Mathematical analysis | Optimization | Computation | Searching | Nonlinearity | Derivatives | Iterative methods | Convergence | Operations Research & Management Science | Computer Science

65K05 | Theoretical, Mathematical and Computational Physics | Nonlinear optimization | Funnel mechanism | Mathematics | 90C26 | Trust-region methods | Constrained optimization | Barrier-SQP methods | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | 65F22 | Numerical Analysis | 90C55 | Large-scale optimization | 49M37 | Combinatorics | EQUALITY CONSTRAINED OPTIMIZATION | MATHEMATICS, APPLIED | PENALTY-FUNCTION | FILTER | IMPLEMENTATION | STEP | 2ND-DERIVATIVE SQP METHOD | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GLOBAL CONVERGENCE | REGION METHOD | Analysis | Algorithms | Numerical analysis | Studies | Nonlinear programming | Mathematical analysis | Optimization | Computation | Searching | Nonlinearity | Derivatives | Iterative methods | Convergence | Operations Research & Management Science | Computer Science

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 3/2015, Volume 61, Issue 3, pp. 429 - 457

... properties Coralia Cartis Â· Jaroslav M. Fowkes Â· Nicholas I. M. Gould Received: 5 June 2013 / Accepted: 2 May 2014 / Published online: 15 May 2014 Â© Springer Science...

Global optimization | Lipschitzian optimization | Operations Research/Decision Theory | Mathematics | Nonconvex programming | Computer Science, general | Parallel branch and bound | Optimization | Real Functions | CONSTRAINT SATISFACTION | TENSOR | MATHEMATICS, APPLIED | WORKING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SEARCH | DERIVATIVES | Mathematical optimization | Algorithms | Studies | Optimization algorithms | Lower bounds | Tessellation | Mathematical analysis | Strategy | Continuity | Derivatives

Global optimization | Lipschitzian optimization | Operations Research/Decision Theory | Mathematics | Nonconvex programming | Computer Science, general | Parallel branch and bound | Optimization | Real Functions | CONSTRAINT SATISFACTION | TENSOR | MATHEMATICS, APPLIED | WORKING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SEARCH | DERIVATIVES | Mathematical optimization | Algorithms | Studies | Optimization algorithms | Lower bounds | Tessellation | Mathematical analysis | Strategy | Continuity | Derivatives

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2013, Volume 23, Issue 3, pp. 1553 - 1574

...-SQUARES PROBLEMS AND ITS RELEVANCE TO CONSTRAINED NONLINEAR OPTIMIZATION CORALIA CARTIS, NICHOLAS I. M. GOULD, AND PHILIPPE L. TOINT Abstract. We propose a new...

Evaluation complexity | Worst-case analysis | Cubic regularization methods | Constrained nonlinear optimization | Least-squares problems | MATHEMATICS, APPLIED | PENALTY-FUNCTION | least-squares problems | GLOBAL PERFORMANCE | TRUST REGION ALGORITHM | worst-case analysis | evaluation complexity | NEWTON METHODS | MINIMIZATION | CONVERGENCE | constrained nonlinear optimization | cubic regularization methods | UNCONSTRAINED OPTIMIZATION | Constraints | Least squares method | Norms | Nonlinearity | Feasibility | Regularization | Optimization | Complexity

Evaluation complexity | Worst-case analysis | Cubic regularization methods | Constrained nonlinear optimization | Least-squares problems | MATHEMATICS, APPLIED | PENALTY-FUNCTION | least-squares problems | GLOBAL PERFORMANCE | TRUST REGION ALGORITHM | worst-case analysis | evaluation complexity | NEWTON METHODS | MINIMIZATION | CONVERGENCE | constrained nonlinear optimization | cubic regularization methods | UNCONSTRAINED OPTIMIZATION | Constraints | Least squares method | Norms | Nonlinearity | Feasibility | Regularization | Optimization | Complexity

Journal Article

Computational optimization and applications, ISSN 1573-2894, 2019, Volume 73, Issue 1, pp. 1 - 35

... of a regularized tensor-Newton method for solving nonlinear least-squares problems Nicholas I. M. Gould 1 Â· Tyrone Rees 1 Â· Jennifer A. Scott 1,2 Received: 27 November 2017...

Operations Research/Decision Theory | Convex and Discrete Geometry | Mathematics | Operations Research, Management Science | Statistics, general | Levenberg Marquardt | Data fitting | Optimization | Nonlinear least-squares | Trust region methods | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Tensors | Mathematical analysis | Newton methods | Numerical methods | Critical point | Regularization | Convergence

Operations Research/Decision Theory | Convex and Discrete Geometry | Mathematics | Operations Research, Management Science | Statistics, general | Levenberg Marquardt | Data fitting | Optimization | Nonlinear least-squares | Trust region methods | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Tensors | Mathematical analysis | Newton methods | Numerical methods | Critical point | Regularization | Convergence

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2015, Volume 53, Issue 2, pp. 836 - 851

When solving the general smooth nonlinear and possibly nonconvex optimization problem involving equality and/or inequality constraints, an approximate...

Evaluation complexity | Worst-case analysis | Cubic regularization methods | Constrained nonlinear optimization | Least-squares problems | evaluation complexity | MATHEMATICS, APPLIED | TRUST REGION ALGORITHMS | least-squares problems | CUBIC REGULARIZATION | CONVERGENCE | CONVEX CONSTRAINTS | constrained nonlinear optimization | cubic regularization methods | UNCONSTRAINED OPTIMIZATION | worst-case analysis | Constraints | Approximation | Least squares method | Mathematical analysis | Inequalities | Nonlinearity | Critical point | Optimization | Complexity

Evaluation complexity | Worst-case analysis | Cubic regularization methods | Constrained nonlinear optimization | Least-squares problems | evaluation complexity | MATHEMATICS, APPLIED | TRUST REGION ALGORITHMS | least-squares problems | CUBIC REGULARIZATION | CONVERGENCE | CONVEX CONSTRAINTS | constrained nonlinear optimization | cubic regularization methods | UNCONSTRAINED OPTIMIZATION | worst-case analysis | Constraints | Approximation | Least squares method | Mathematical analysis | Inequalities | Nonlinearity | Critical point | Optimization | Complexity

Journal Article

Mathematical programming, ISSN 0025-5610, 2012, Volume 144, Issue 1-2, pp. 93 - 106

... nonlinear optimization Coralia Cartis Â· Nicholas I. M. Gould Â· Philippe L. Toint Received: 14 April 2011 / Accepted: 20 November 2012 / Published online: 8 December...

68Q25 | Constrained nonlinear optimization | Theoretical, Mathematical and Computational Physics | Mathematics | Evaluation complexity | Worst-case analysis | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Combinatorics | 90C60 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CUBIC REGULARIZATION | NONCONVEX | ALGORITHMS | Analysis | Algorithms | Studies | Optimization | Mathematical programming | Functions (mathematics) | Constraints | Mathematical analysis | Texts | Nonlinearity | Critical point | Complexity

68Q25 | Constrained nonlinear optimization | Theoretical, Mathematical and Computational Physics | Mathematics | Evaluation complexity | Worst-case analysis | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Combinatorics | 90C60 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CUBIC REGULARIZATION | NONCONVEX | ALGORITHMS | Analysis | Algorithms | Studies | Optimization | Mathematical programming | Functions (mathematics) | Constraints | Mathematical analysis | Texts | Nonlinearity | Critical point | Complexity

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2011, Volume 21, Issue 4, pp. 1721 - 1739

... PROGRAMMING CORALIA CARTIS, NICHOLAS I. M. GOULD, AND PHILIPPE L. TOINT Abstract. We estimate the worst-case complexity of minimizing an unconstrained, nonconvex...

Steepest descent methods | Global complexity bounds | Global rate of convergence | Nonsmooth optimization | Quadratic regularization methods | Nonlinear programming | Exact penalty methods | Trust region methods | MATHEMATICS, APPLIED | quadratic regularization methods | global rate of convergence | nonlinear programming | trust region methods | steepest descent methods | exact penalty methods | CONVERGENCE | OPTIMIZATION | global complexity bounds | ALGORITHMS | nonsmooth optimization

Steepest descent methods | Global complexity bounds | Global rate of convergence | Nonsmooth optimization | Quadratic regularization methods | Nonlinear programming | Exact penalty methods | Trust region methods | MATHEMATICS, APPLIED | quadratic regularization methods | global rate of convergence | nonlinear programming | trust region methods | steepest descent methods | exact penalty methods | CONVERGENCE | OPTIMIZATION | global complexity bounds | ALGORITHMS | nonsmooth optimization

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2003, Volume 13, Issue 3, pp. 635 - 659

..., NICHOLAS I. M. GOULD, SVEN LEYFFER,PHILIPPE L. TOINT, AND ANDREAS WCHTER Abstract. A trust-region SQP-lter algorithm of the type introduced by Fletcher and Leyer [Math...

Filter methods | Sequential quadratic programming | Convergence theory | Nonlinear optimization | filter methods | MATHEMATICS, APPLIED | MINIMIZATION | convergence theory | OPTIMIZATION | sequential quadratic programming | nonlinear optimization

Filter methods | Sequential quadratic programming | Convergence theory | Nonlinear optimization | filter methods | MATHEMATICS, APPLIED | MINIMIZATION | convergence theory | OPTIMIZATION | sequential quadratic programming | nonlinear optimization

Journal Article

Optimization methods & software, ISSN 1029-4937, 2015, Volume 31, Issue 1, pp. 157 - 186

In this paper, we consider augmented Lagrangian (AL) algorithms for solving large-scale nonlinear optimization problems that execute adaptive strategies for...

non-convex optimization | augmented Lagrangians | large-scale optimization | steering methods | matrix-free methods | nonlinear optimization | PENNON | MATHEMATICS, APPLIED | COMPUTER SCIENCE, SOFTWARE ENGINEERING | TRUST REGIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PENALTY | CONVERGENCE | OPTIMIZATION | Lagrange multiplier | Nonlinear programming | Methods | Optimization | Algorithms | Searching | Adaptive algorithms | Strategy | Software | Mathematical models | Computer programs | Mathematics - Optimization and Control

non-convex optimization | augmented Lagrangians | large-scale optimization | steering methods | matrix-free methods | nonlinear optimization | PENNON | MATHEMATICS, APPLIED | COMPUTER SCIENCE, SOFTWARE ENGINEERING | TRUST REGIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PENALTY | CONVERGENCE | OPTIMIZATION | Lagrange multiplier | Nonlinear programming | Methods | Optimization | Algorithms | Searching | Adaptive algorithms | Strategy | Software | Mathematical models | Computer programs | Mathematics - Optimization and Control

Journal Article

Journal of Global Optimization, ISSN 0925-5001, 8/2013, Volume 56, Issue 4, pp. 1791 - 1815

... functions Jaroslav M. Fowkes Â· Nicholas I. M. Gould Â· Chris L. Farmer Received: 31 October 2011 / Accepted: 5 June 2012 / Published online: 21 June 2012 Â© Springer...

Global optimization | Branch and bound | Lipschitzian optimization | Operations Research/Decision Theory | Nonconvex programming | Computer Science, general | Optimization | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | DESIGN | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Studies | Computer programming | Analysis | Branch & bound algorithms | Radial basis function | Lower bounds | Constraints | Approximation | Mathematical analysis | Mathematical models

Global optimization | Branch and bound | Lipschitzian optimization | Operations Research/Decision Theory | Nonconvex programming | Computer Science, general | Optimization | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | DESIGN | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Studies | Computer programming | Analysis | Branch & bound algorithms | Radial basis function | Lower bounds | Constraints | Approximation | Mathematical analysis | Mathematical models

Journal Article

SIAM Journal on Scientific Computing, ISSN 1064-8275, 2002, Volume 23, Issue 4, pp. 1376 - 1395

...SIAM J. SCI. COMPUT. c Vol. 23, No. 4, pp. 13761395 ON THE SOLUTION OF EQUALITY CONSTRAINED QUADRATIC PROGRAMMING PROBLEMS ARISING IN OPTIMIZATION NICHOLAS...

Conjugate gradient method | Quadratic programming | Pre-conditioning | Iterative refinement | Nonlinear optimization

Conjugate gradient method | Quadratic programming | Pre-conditioning | Iterative refinement | Nonlinear optimization

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2010, Volume 20, Issue 4, pp. 2049 - 2079

Gould and Robinson [SIAM J. Optim., 20 (2010), pp. 2023-2048] proved global convergence of a second derivative SQP method for minimizing the exact l(1)-merit...

Nonlinear inequality constraints | Nonsmooth optimization | Nonlinear programming | Sequential quadratic programming | â„“1-penalty function | nonlinear inequality constraints | MATHEMATICS, APPLIED | l-penalty function | nonlinear programming | CONSTRAINED OPTIMIZATION PROBLEMS | PENALTY-FUNCTION ALGORITHM | sequential quadratic programming | nonsmooth optimization | TRUST-REGION ALGORITHM | PARAMETER | Studies | Algorithms | Matrix | Cauchy problems | Quadratic programming | Convergence

Nonlinear inequality constraints | Nonsmooth optimization | Nonlinear programming | Sequential quadratic programming | â„“1-penalty function | nonlinear inequality constraints | MATHEMATICS, APPLIED | l-penalty function | nonlinear programming | CONSTRAINED OPTIMIZATION PROBLEMS | PENALTY-FUNCTION ALGORITHM | sequential quadratic programming | nonsmooth optimization | TRUST-REGION ALGORITHM | PARAMETER | Studies | Algorithms | Matrix | Cauchy problems | Quadratic programming | Convergence

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2012, Volume 22, Issue 1, pp. 66 - 86

... CARTIS, NICHOLAS I. M. GOULD, AND PHILIPPE L. TOINT Abstract. The (optimal) function/gradient evaluations worst-case complexity analysis available for the adaptive...

Worst-case analysis | Nonconvex optimization | Oracle complexity | First-order methods | Finite differences | Derivative-free optimization | HESSIAN MATRICES | MATHEMATICS, APPLIED | finite differences | nonconvex optimization | worst-case analysis | derivative-free optimization | MODEL-BASED ALGORITHMS | NEWTONS | CUBIC REGULARIZATION | oracle complexity | first-order methods | UNCONSTRAINED OPTIMIZATION | GEOMETRY

Worst-case analysis | Nonconvex optimization | Oracle complexity | First-order methods | Finite differences | Derivative-free optimization | HESSIAN MATRICES | MATHEMATICS, APPLIED | finite differences | nonconvex optimization | worst-case analysis | derivative-free optimization | MODEL-BASED ALGORITHMS | NEWTONS | CUBIC REGULARIZATION | oracle complexity | first-order methods | UNCONSTRAINED OPTIMIZATION | GEOMETRY

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2003, Volume 29, Issue 4, pp. 353 - 372

...GALAHAD, A Library of Thread-Safe Fortran 90 Packages for Large-Scale Nonlinear Optimization NICHOLAS I. M. GOULD Rutherford Appleton Laboratory DOMINIQUE...

Fortran 90 | large-scale quadratic programming | large-scale nonlinear optimization | GALAHAD | LANCELOT | Large-scale quadratic programming | Large-scale nonlinear optimization | algorithms | MATHEMATICS, APPLIED | INTERIOR-POINT ALGORITHM | CONVEX CONSTRAINTS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CONVERGENCE | CONSTRAINED OPTIMIZATION | TRUST-REGION | Mathematical software | Research

Fortran 90 | large-scale quadratic programming | large-scale nonlinear optimization | GALAHAD | LANCELOT | Large-scale quadratic programming | Large-scale nonlinear optimization | algorithms | MATHEMATICS, APPLIED | INTERIOR-POINT ALGORITHM | CONVEX CONSTRAINTS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CONVERGENCE | CONSTRAINED OPTIMIZATION | TRUST-REGION | Mathematical software | Research

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 03/2007, Volume 33, Issue 1, pp. 3 - es

...FILTRANE, a Fortran 95 Filter-Trust-Region Package for Solving Nonlinear Least-Squares and Nonlinear Feasibility Problems NICHOLAS I. M. GOULD Rutherford...

filter methods | nonlinear least-squares | nonlinear feasibility | Nonlinear systems | Filter methods | Nonlinear feasibility | Nonlinear least-squares | COMPUTER SCIENCE, SOFTWARE ENGINEERING | algorithms | nonlinear systems | MATHEMATICS, APPLIED | experimentation | Computer programming | FORTRAN | Usage | Algorithms | Differential equations, Nonlinear | Analysis

filter methods | nonlinear least-squares | nonlinear feasibility | Nonlinear systems | Filter methods | Nonlinear feasibility | Nonlinear least-squares | COMPUTER SCIENCE, SOFTWARE ENGINEERING | algorithms | nonlinear systems | MATHEMATICS, APPLIED | experimentation | Computer programming | FORTRAN | Usage | Algorithms | Differential equations, Nonlinear | Analysis

Journal Article

2000, MPS-SIAM series on optimization, ISBN 0898714605, xix, 959

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