Download or read book A New Algorithm for Constrained Nonlinear Least squares Problems written by Richard J. Hanson and published by . This book was released on 1983 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Levenberg Marquardt Method for Large scale Bound constrained Nonlinear Least squares written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The well known Levenberg-Marquardt method is used extensively for solving nonlinear least-squares problems. We describe an extension of the Levenberg- Marquardt method to problems with bound constraints on the variables. Each iteration of our algorithm approximately solves a linear least-squares problem subject to the original bound constraints. Our approach is especially suited to large-scale problems whose functions are expensive to compute; only matrix-vector products with the Jacobian are required. We present the results of numerical experiments that illustrate the effectiveness of the approach. Moreover, we describe its application to a practical curve fitting problem in fluorescence optical imaging.

Download or read book Constrained Nonlinear Least Squares written by George E. P. Box and published by . This book was released on 1983 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares is widely used for the fitting of data of functions containing unknown parameters. When these functions are non-linear in the parameters an iterative approach using successive local linearizations was suggested by Gauss. To encourage convergence various modifications and alternatives have been suggested. It has been proposed that, at the early stages, use of the method of steepest descent might speed convergence. A method might be used in which changes were made in the direction of, but not of the magnitude of, the Gauss adjustment. It is convenient to call this the Gauss direction method. Levenberg and later Marquardt proposed a spherically constrained procedure. The procedure could be made scale-invariant to render its behavior independent of the (arbitrary) units in which the parameters were measured. It was argued the resulting method offered an appropriate compromise between steepest descent and Gauss's method. In this report some of the geometry of these methods is discussed. As a consequence it is argued that the procedure should also be made invariant under linear transformation. With this modification the scale-invariant Levenberg-Marquardt method becomes inappropriate and the steepest descent direction and the Gauss direction method identical. It remains, therefore, to determine how far along the Gauss direction one should proceed. Two alternative methods for deciding this are suggested. Both methods use quantities already available from previous calculations.

Download or read book Global Analysis of a Model Algorithm for the Constrained Nonlinear Least Squares Problem written by Per-Åke Wedin and published by . This book was released on 1983 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On a fast algorithm for constrained nonlinear least squares problems written by Jürgen Huschens and published by . This book was released on 1992 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book User Guide for the Constrained Nonlinear Least Squares Solver ENLSIP written by Per Lindström and published by . This book was released on 1983 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.

Download or read book Generally Constrained Nonlinear Least Squares and Generating Nonlinear Programming Test Problems written by Nezameddin Mahdavi-Amiri and published by . This book was released on 1984 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Constrained Nonlinear Least Squares an Exact Penalty Approach with Projected Structured Quasi Newton Updates written by Mahdavi-Amiri, Nezam and published by Faculty of Mathematics, University of Waterloo. This book was released on 1987 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Regularization Method for Constrained Nonlinear Least Squares written by Dominique Orban and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.

Download or read book CNLLS written by Nezam Mahdavi-Amiri and published by . This book was released on 1987 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Constrained Non linear Least Squares written by Henk Don and published by . This book was released on 1986 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Constrained Nonlinear Least Squares written by Nezam Mahdavi-Amiri and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Use of a Quadratic Merit Function for Constrained Nonlinear Least Squares written by Per-Åke Wedin and published by . This book was released on 1987 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Algorithm for Constrained Non linear Least Squares written by John Norman Holt and published by . This book was released on 1978 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algorithms for nonlinear least squares particularly problems with constraints written by Per Lindström and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: