An optimal algorithm and superrelaxation for minimization of a quadratic function subject to separable convex constraints with applications - Dostál, Zdeněk; Kozubek, Tomáš (Mathematical programming, 2012)
Keywords: Algorithms; Applied sciences; Calculus of variations and optimal control; Calculus of Variations and Optimal Control; Optimization; Cantilever beams; Combinatorics; Conjugate gradients; Eigenvalues; Exact sciences and technology; Friction; Full Length Paper; Innovations; Mathematical analysis; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematical models; Mathematical programming; Mathematics; Mathematics and Statistics; Mathematics of Computing; Minimization; Numerical Analysis; Operational research and scientific management; Operational research. Management science; Optimization; Quadratic programming; Sciences and techniques of general use; Theoretical; 90C20; 90C25; 65K10; 90C90; QPQC with separable constraints; Rate of convergence; Spherical constraints; Error estimation; Active set method; Modeling; Convex programming; Interval arithmetic; Cantilever beam; Bounded solution; Separation method; Convergence rate; Variational calculus; Convex function; Eigenvalue problem; Hessian matrices; Mathematical programming; Conjugate gradient method; Optimal algorithm; Minimization; Quadratic programming; Friction; Particular solution; Equality constraint; Quadratic function