Sergey Moiseev: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=27924
en-us2021 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemWed, 21 Apr 2021 16:40:23 GMTWed, 21 Apr 2021 16:40:23 GMTNew applications published by Sergey Moiseevhttps://www.maplesoft.com/images/Application_center_hp.jpgSergey Moiseev: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=27924
DirectSearch optimization package, version 2
https://www.maplesoft.com/applications/view.aspx?SID=101333&ref=Feed
<p> The DirectSearch package is a collection of commands to numerically compute local and global minimums (maximums) of nonlinear multivariate function with (without) constraints. The package optimization methods are universal derivative-free direct searching methods, i.e. they do not require the objective function and constraints to be differentiable and continuous.<br /> The package optimization methods have quadratic convergence for quadratic functions.<br /><br /> The package also contains commands for multiobjective optimization, solving system of equations, fitting nonlinear function to data.<br /><br />The following is a summary of the major improvements in DirectSearch v.2.<br /><br />-- Three new derivative-free optimization methods are added.<br />-- The new global optimization command GlobalOptima is added.<br />-- The commands for multiobjective optimization, solving system of equations, fitting nonlinear function to data are added.<br />-- Mixed integer-discrete-continuous optimization is now supported.<br />-- You can now specify inequality constraints as any Boolean expressions.<br />-- You can now set bound inequality constraints x>=a, x<=b as: x=a..b.<br />-- Assume and assumption commands are supported for inequality constraints.<br />-- You can now specify problem variables as Vector.<br />-- High dimensional optimization problem are now solved a much faster.<br />-- Search in space curve direction is added to all algorithms.<br />-- Penalty function method is added for optimization with inequality constraints<br />-- Improved optimization algorithm for equality constraints is faster and more reliable.<br />-- The feasible initial point searching is improved.<br />-- Now the package is compatible with Maple 12 and above.<br />-- Detailed description of CDOS method in .pdf format is added.<br />-- Russian version of the package is now available.<br /><br /></p><img src="https://www.maplesoft.com/view.aspx?si=101333/maple_icon.jpg" alt="DirectSearch optimization package, version 2" style="max-width: 25%;" align="left"/><p> The DirectSearch package is a collection of commands to numerically compute local and global minimums (maximums) of nonlinear multivariate function with (without) constraints. The package optimization methods are universal derivative-free direct searching methods, i.e. they do not require the objective function and constraints to be differentiable and continuous.<br /> The package optimization methods have quadratic convergence for quadratic functions.<br /><br /> The package also contains commands for multiobjective optimization, solving system of equations, fitting nonlinear function to data.<br /><br />The following is a summary of the major improvements in DirectSearch v.2.<br /><br />-- Three new derivative-free optimization methods are added.<br />-- The new global optimization command GlobalOptima is added.<br />-- The commands for multiobjective optimization, solving system of equations, fitting nonlinear function to data are added.<br />-- Mixed integer-discrete-continuous optimization is now supported.<br />-- You can now specify inequality constraints as any Boolean expressions.<br />-- You can now set bound inequality constraints x>=a, x<=b as: x=a..b.<br />-- Assume and assumption commands are supported for inequality constraints.<br />-- You can now specify problem variables as Vector.<br />-- High dimensional optimization problem are now solved a much faster.<br />-- Search in space curve direction is added to all algorithms.<br />-- Penalty function method is added for optimization with inequality constraints<br />-- Improved optimization algorithm for equality constraints is faster and more reliable.<br />-- The feasible initial point searching is improved.<br />-- Now the package is compatible with Maple 12 and above.<br />-- Detailed description of CDOS method in .pdf format is added.<br />-- Russian version of the package is now available.<br /><br /></p>https://www.maplesoft.com/applications/view.aspx?SID=101333&ref=FeedTue, 01 Feb 2011 05:00:00 ZDr. Sergey MoiseevDr. Sergey MoiseevDirect search optimization package
https://www.maplesoft.com/applications/view.aspx?SID=87637&ref=Feed
<p>The DirectSearch package is a collection of commands to numerically computes local and global minimums (maximums) of nonlinear multivariate function with (without) constraints. The package optimization methods are direct searching methods, i.e. they do not require the objective function to be differentiable and continuous.</p><img src="https://www.maplesoft.com/view.aspx?si=87637/Fig2.jpg" alt="Direct search optimization package" style="max-width: 25%;" align="left"/><p>The DirectSearch package is a collection of commands to numerically computes local and global minimums (maximums) of nonlinear multivariate function with (without) constraints. The package optimization methods are direct searching methods, i.e. they do not require the objective function to be differentiable and continuous.</p>https://www.maplesoft.com/applications/view.aspx?SID=87637&ref=FeedWed, 12 May 2010 04:00:00 ZDr. Sergey MoiseevDr. Sergey MoiseevOrthogonal Functions, Orthogonal Polynomials, and Orthogonal Wavelets series expansions of function
https://www.maplesoft.com/applications/view.aspx?SID=7256&ref=Feed
The worksheet includes all the best known continuous orthogonal series expansions in the closed form. It demonstrates the use of Maple to evaluate expansion of a function by Fourier, Hartley, Fourier-Bessel, Orthogonal Rational Tangent, Rectangular, Haar Wavelet, Walsh, Slant, Piece-Linear-Quadratic, Associated Legandre, Orthogonal Rational, Generalized sinc, Sinc, Sinc Wavelet, Jacobi, Chebyshev first kind, Chebyshev second kind, Gegenbauer, Generalized Laguerre, Laguerre, Hermite, and classical polynomials orthogonal series. Also the worksheet demonstrates how to create new orthonormal basis of functions by using the Gram-Schmidt orthogonalization process by the example of Slant, and Piece-Linear-Quadratic orthonormal functions creating.<img src="https://www.maplesoft.com/view.aspx?si=7256/thumb.gif" alt="Orthogonal Functions, Orthogonal Polynomials, and Orthogonal Wavelets series expansions of function" style="max-width: 25%;" align="left"/>The worksheet includes all the best known continuous orthogonal series expansions in the closed form. It demonstrates the use of Maple to evaluate expansion of a function by Fourier, Hartley, Fourier-Bessel, Orthogonal Rational Tangent, Rectangular, Haar Wavelet, Walsh, Slant, Piece-Linear-Quadratic, Associated Legandre, Orthogonal Rational, Generalized sinc, Sinc, Sinc Wavelet, Jacobi, Chebyshev first kind, Chebyshev second kind, Gegenbauer, Generalized Laguerre, Laguerre, Hermite, and classical polynomials orthogonal series. Also the worksheet demonstrates how to create new orthonormal basis of functions by using the Gram-Schmidt orthogonalization process by the example of Slant, and Piece-Linear-Quadratic orthonormal functions creating.https://www.maplesoft.com/applications/view.aspx?SID=7256&ref=FeedWed, 18 Feb 2009 00:00:00 ZDr. Sergey MoiseevDr. Sergey Moiseev