TAILIEUCHUNG - On the accuracy of regularized solutions to quadratic minimization problems on a half-space, in case of a normally solvable operator

A new stable quadratic minimization method on a half-space is presented. In case of normally solvable operators this method outperforms approximate solutions having the same optimal order accuracy as earlier methods for unconstrained problems. | Yugoslav Journal of Operations Research 14 (2004), Number 1, 19-26 ON THE ACCURACY OF REGULARIZED SOLUTIONS TO QUADRATIC MINIMIZATION PROBLEMS ON A HALFSPACE, IN CASE OF A NORMALLY SOLVABLE OPERATOR* I. KRNIĆ, O. OBRADOVIĆ, Department of Mathematics, University of Montenegro Podgorica, Serbia and Montenegro . POTAPOV Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia Received: September 2003 / Accepted: February 2004 Abstract: A new stable quadratic minimization method on a half-space is presented. In case of normally solvable operators this method outperforms approximate solutions having the same optimal order accuracy as earlier methods for unconstrained problems. Keywords: Quadratic functional, linear constraints, optimization, regularization. 1. STATE OF THE PROBLEM. STRUCTURE OF THE OPTIMAL SOLUTION. In this paper we consider a quadratic minimization problem with a linear constraint: J (u ) = 1

• Toán học
• Quadratic functional
• Linear constraints
• Quadratic minimization method
• Approximate solutions
• Basic approximation algorithm
• Vietnam Journal of Mechanics
• An inequality for A quadratic functional
• A quadratic functional
• The equality holds
• The corresponding function
• Hilbert space
• Quadratic function minimization problem
• Tikhonov sense
• Wellposedness problem
• báo cáo khoa học
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• báo cáo sinh học
• công trình nghiên cứu về sinh học
• tài liệu về sinh học
• ALGEBRAIC FRACTION
• LINEAR EQUATION
• FUNCTIONAL RELATIONS
• STRAIGHT LINE
• QUADRATIC EQUATION
• KANTBP 4M
• Finite element method
• Boundary value problem
• Self adjoint system
• Symmetric quadratic functional
• Optimal control
• Linear of the economic model
• Nonlinear systems of the economic model
• Three sector economic
• Dynamical system