Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
New Results on Quadratic Minimization - MaRDI portal

New Results on Quadratic Minimization

From MaRDI portal
Publication:4441956

DOI10.1137/S105262340139001XzbMath1043.90064OpenAlexW2074859470MaRDI QIDQ4441956

Yinyu Ye, Shu-Zhong Zhang

Publication date: 19 January 2004

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s105262340139001x



Related Items

An efficient algorithm for the extended trust-region subproblem with two linear constraints, On Local Minimizers of Nonconvex Homogeneous Quadratically Constrained Quadratic Optimization with at Most Two Constraints, On the complexity of quadratic programming with two quadratic constraints, On box-constrained total least squares problem, On Convex Hulls of Epigraphs of QCQPs, On the tightness of SDP relaxations of QCQPs, A necessary and sufficient condition of convexity for SOC reformulation of trust-region subproblem with two intersecting cuts, A linear-time algorithm for trust region problems, A sensitive-eigenvector based global algorithm for quadratically constrained quadratic programming, On the local stability of semidefinite relaxations, Exactness conditions for an SDP relaxation of the extended trust region problem, SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices, Convex sets with semidefinite representation, Generalized S-lemma and strong duality in nonconvex quadratic programming, A fast eigenvalue approach for solving the trust region subproblem with an additional linear inequality, An efficient algorithm for solving the generalized trust region subproblem, On Obtaining the Convex Hull of Quadratic Inequalities via Aggregations, Quadratic programs with hollows, Distributionally robust profit opportunities, A survey of hidden convex optimization, Exact computable representation of some second-order cone constrained quadratic programming problems, A branch and bound algorithm for nonconvex quadratic optimization with ball and linear constraints, Indefinite least squares with a quadratic constraint, On the quadratic fractional optimization with a strictly convex quadratic constraint, A Second-Order Cone Based Approach for Solving the Trust-Region Subproblem and Its Variants, Exact semidefinite formulations for a class of (random and non-random) nonconvex quadratic programs, Quaternion matrix decomposition and its theoretical implications, Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems, A penalty decomposition algorithm with greedy improvement for mean‐reverting portfolios with sparsity and volatility constraints, On the exactness of a simple relaxation for the extended Celis–Dennis–Tapia subproblem, A partial ellipsoidal approximation scheme for nonconvex homogeneous quadratic optimization with quadratic constraints, On Local Non-Global Minimizers of Quadratic Optimization Problem with a Single Quadratic Constraint, KKT-based primal-dual exactness conditions for the Shor relaxation, (Global) optimization: historical notes and recent developments, Convex hull results on quadratic programs with non-intersecting constraints, Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints, Cardinality constrained portfolio selection problem: a completely positive programming approach, Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty, Sharp and Fast Bounds for the Celis-Dennis-Tapia Problem, On zero duality gap in nonconvex quadratic programming problems, Strengthened SDP relaxation for an extended trust region subproblem with an application to optimal power flow, Closing the Gap between Necessary and Sufficient Conditions for Local Nonglobal Minimizer of Trust Region Subproblem, Linear pencils and quadratic programming problems with a quadratic constraint, Kronecker Product Constraints with an Application to the Two-Trust-Region Subproblem, Hidden conic quadratic representation of some nonconvex quadratic optimization problems, Non-quadratic extension of homogeneous S-lemma and its applications in optimization, Quadratic optimization over one first-order cone, Convex relaxations for nonconvex quadratically constrained quadratic programming: matrix cone decomposition and polyhedral approximation, Moment inequalities for sums of random matrices and their applications in optimization, The generalized trust region subproblem, A Block Lanczos Method for the Extended Trust-Region Subproblem, Globally solving extended trust region subproblems with two intersecting cuts, Quadratic optimization over a second-order cone with linear equality constraints, Minimizing an indefinite quadratic function subject to a single indefinite quadratic constraint, Strong duality for generalized trust region subproblem: S-lemma with interval bounds, Sublinear-Time Quadratic Minimization via Spectral Decomposition of Matrices, On the convexity of a class of quadratic mappings and its application to the problem of finding the smallest ball enclosing a given intersection of balls, Semidefinite relaxation approximation for multivariate bi‐quadratic optimization with quadratic constraints, An efficient global optimization algorithm for maximizing the sum of two generalized Rayleigh quotients, Quadratic convex reformulation for nonconvex binary quadratically constrained quadratic programming via surrogate constraint, Approximation bounds for quadratic maximization and max-cut problems with semidefinite programming relaxation, Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint, Adaptive computable approximation to cones of nonnegative quadratic functions, New Results on Narrowing the Duality Gap of the Extended Celis--Dennis--Tapia Problem, Theorems of the alternative for inequality systems of real polynomials, New results on Hermitian matrix rank-one decomposition, Conic approximation to nonconvex quadratic programming with convex quadratic constraints, Second order cone constrained convex relaxations for nonconvex quadratically constrained quadratic programming, A Note on Polynomial Solvability of the CDT Problem, Improved semidefinite approximation bounds for nonconvex nonhomogeneous quadratic optimization with ellipsoid constraints, Some results for quadratic problems with one or two quadratic constraints, On solving quadratically constrained quadratic programming problem with one non-convex constraint, A Two-Variable Approach to the Two-Trust-Region Subproblem, On the global optimality of generalized trust region subproblems, A new conic approach to semisupervised support vector machines, Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming, The trust region subproblem with non-intersecting linear constraints, Quadratic optimization over a polyhedral cone, Cheaper relaxation and better approximation for multi-ball constrained quadratic optimization and extension, Global optimality condition for quadratic optimization problems under data uncertainty, On Chebyshev Center of the Intersection of Two Ellipsoids, A convex optimization approach for minimizing the ratio of indefinite quadratic functions over an ellipsoid, Semidefinite approximation bound for a class of nonhomogeneous nonconvex quadratically constrained quadratic programming problem, An SDP approach for quadratic fractional problems with a two-sided quadratic constraint, A Linear-Time Algorithm for Globally Maximizing the Sum of a Generalized Rayleigh Quotient and a Quadratic Form on the Unit Sphere, Convexity properties associated with nonconvex quadratic matrix functions and applications to quadratic programming, A conjugate gradient-based algorithm for large-scale quadratic programming problem with one quadratic constraint, A hybrid algorithm for the two-trust-region subproblem, On the convexity for the range set of two quadratic functions, Tilt stability for quadratic programs with one or two quadratic inequality constraints, Canonical Dual Solutions to Quadratic Optimization over One Quadratic Constraint, A Linear-Time Algorithm for Generalized Trust Region Subproblems, Global optimality conditions for nonlinear programming problems with linear equality constraints, An Optimality Gap Test for a Semidefinite Relaxation of a Quadratic Program with Two Quadratic Constraints, A gentle, geometric introduction to copositive optimization, Narrowing the difficulty gap for the Celis-Dennis-Tapia problem, Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme, S-lemma with equality and its applications