Some P-properties for linear transformations on Euclidean Jordan algebras

From MaRDI portal
Publication:703633

DOI10.1016/j.laa.2004.03.028zbMath1072.15002OpenAlexW2141616558MaRDI QIDQ703633

M. Seetharama Gowda, Roman Sznajder, Jiyuan Tao

Publication date: 11 January 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.028



Related Items

Global and global linear convergence of smoothing algorithm for the Cartesian \(P_*(\kappa)\)-SCLCP, Some P-properties of the quadratic representations and automorphism invariance in Euclidean Jordan algebras, An inexact smoothing method for the monotone complementarity problem over symmetric cones, On the range of the pseudomonotone second-order cone linear complementarity problem, Characterization of Q-property for cone automorphisms in second-order cone linear complementarity problems, Simultaneous spectral decomposition in Euclidean Jordan algebras and related systems, Some log and weak majorization inequalities in Euclidean Jordan algebras, A predictor-corrector smoothing method for second-order cone programming, Properties of a Class of Nonlinear Transformations Over Euclidean Jordan Algebras with Applications to Complementarity Problems, Unnamed Item, Lattice-like Subsets of Euclidean Jordan Algebras, The matrix splitting iteration method for nonlinear complementarity problems associated with second-order cone, The models of bilevel programming with lower level second-order cone programs, A Hölder type inequality and an interpolation theorem in Euclidean Jordan algebras, Singular value analysis of linear maps under conic constraints, Weighted LCPs and interior point systems for copositive linear transformations on Euclidean Jordan algebras, On the \(\mathbf P\)-property of \(\mathbf Z\) and Lyapunov-like transformations on Euclidean Jordan algebras, Strict double diagonal dominance in Euclidean Jordan algebras, Pseudomonotonicity of nonlinear transformations on Euclidean Jordan algebras, Smoothing Newton algorithm for symmetric cone complementarity problems based on a one-parametric class of smoothing functions, Korovkin-type results and doubly stochastic transformations over Euclidean Jordan algebras, Lattice-like operations and isotone projection sets, An accelerated smoothing Newton method with cubic convergence for weighted complementarity problems, A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces, Linear complementarity problems over symmetric cones: characterization of \(Q _{b }\)-transformations and existence results, Smoothing method for mathematical programs with symmetric cone complementarity constraints, STEIN LINEAR PROGRAMS OVER SYMMETRIC CONES, A REPRESENTATION THEOREM FOR LYAPUNOV-LIKE TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS, SOLVING STRONGLY MONOTONE LINEAR COMPLEMENTARITY PROBLEMS, On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem, New smooth C-functions for symmetric cone complementarity problems, On the Lorentz Cone Complementarity Problems in Infinite-Dimensional Real Hilbert Space, On the approximate augmented Lagrangian for nonlinear symmetric cone programming, A descent method for a reformulation of the second-order cone complementarity problem, An efficient algorithm for second-order cone linear complementarity problems, Conditions for error bounds and bounded level sets of some merit functions for the second-order cone complementarity problem, The \(\mathbf Q\)-property of composite transformations and the \(\mathbf P\)-property of Stein-type transformations on self-dual and symmetric cones, On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems, Complementarity properties of Peirce-diagonalizable linear transformations on Euclidean Jordan algebras, The convergence of a modified smoothing-type algorithm for the symmetric cone complementarity problem, An inexact semismooth Newton method for variational inequality with symmetric cone constraints, An Introduction to Formally Real Jordan Algebras and Their Applications in Optimization, Complementarity Problems Over Symmetric Cones: A Survey of Recent Developments in Several Aspects, The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences, Solution analysis for the pseudomonotone second-order cone linear complementarity problem, Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming, VECTOR-VALUED IMPLICIT LAGRANGIAN FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS, Commutation Principles in Euclidean Jordan Algebras and Normal Decomposition Systems, Extensions of P-property, R0-property and semidefinite linear complementarity problems, A projection and contraction method for symmetric cone complementarity problem, Three classes of merit functions for the complementarity problem over a closed convex cone, A Krylov Subspace Method for Large-Scale Second-Order Cone Linear Complementarity Problem, SOME PROPERTIES OF A CLASS OF MERIT FUNCTIONS FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS, A smoothing Newton method for symmetric cone complementarity problem, Solvability based on E-property for the nonlinear symmetric cone complementarity problem, Exceptional family and solvability of the second-order cone complementarity problems, An inexact smoothing method for SOCCPs based on a one-parametric class of smoothing function, Commutation principles for optimization problems on spectral sets in Euclidean Jordan algebras, The modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems, Clarke generalized Jacobian of the projection onto symmetric cones, Schur complements, Schur determinantal and Haynsworth inertia formulas in Euclidean Jordan algebras, Polynomial convergence of Mehrotra-type prediction-corrector infeasible-IPM for symmetric optimization based on the commutative class directions, Analysis of a smoothing method for symmetric conic linear programming, More results on column sufficiency property in Euclidean Jordan algebras, On an extension of Fu-Markham matrix theory result to simple Euclidean Jordan algebras, A generalized smoothing Newton method for the symmetric cone complementarity problem, Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras, Convergence of a non-interior continuation algorithm for the monotone SCCP, The GUS-property of second-order cone linear complementarity problems, Some characterizations of cone preserving \(Z\)-transformations, Linear complementarity problem with pseudomonotonicity on Euclidean Jordan algebras, New complexity analysis for primal-dual interior-point methods for self-scaled optimization problems, Some majorization inequalities induced by Schur products in Euclidean Jordan algebras, A regularization smoothing method for second-order cone complementarity problem, Quadratic convergence of a smoothing Newton method for symmetric cone programming without strict complementarity, A predictor-corrector smoothing Newton method for symmetric cone complementarity problems, Stationary point conditions for the FB merit function associated with symmetric cones, The column-sufficiency and row-sufficiency of the linear transformation on Hilbert spaces, A semismooth Newton method for nonlinear symmetric cone programming, Solving inverse cone-constrained eigenvalue problems, On the completely-Q property for linear transformations on Euclidean Jordan algebras, A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations, A note on the Ostrowski-Schneider type inertia theorem in Euclidean Jordan algebras, A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras, Minimum eigenvalue inequalities for \(Z\)-transformations on proper and symmetric cones, On the uniform nonsingularity property for linear transformations on Euclidean Jordan algebras, Existence and uniqueness of solutions for homogeneous cone complementarity problems, Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems, More results on Schur complements in Euclidean Jordan algebras, On the convergence properties of a smoothing approach for mathematical programs with symmetric cone complementarity constraints, A new nonmonotone smoothing Newton method for the symmetric cone complementarity problem with the Cartesian \(P_0\)-property, A new C-function for symmetric cone complementarity problems, The solution set structure of monotone linear complementarity problems over second-order cone, Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems, Some inequalities involving determinants, eigenvalues, and Schur complements in Euclidean Jordan algebras, Sparse recovery on Euclidean Jordan algebras, GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces, Similarity automorphism invariance of some P-properties of linear transformations on Euclidean Jordan algebras, A homogeneous smoothing-type algorithm for symmetric cone linear programs, On matrix characterizations for \(P\)-property of the linear transformation in second-order cone linear complementarity problems, On the game-theoretic value of a linear transformation relative to a self-dual cone, The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra, On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone, Spectral sets and functions on Euclidean Jordan algebras, On spectral maps induced by convex cones, A smoothing Newton algorithm for a class of non-monotonic symmetric cone linear complementarity problems, Z-transformations on proper and symmetric cones, Improved smoothing Newton methods for symmetric cone complementarity problems, The same growth of FB and NR symmetric cone complementarity functions, Complementarity properties of the Lyapunov transformation over symmetric cones, Lyapunov-type least-squares problems over symmetric cones, Equivalent conditions for Jacobian nonsingularity in linear symmetric cone programming, Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras, Lipschitz continuity of the solution mapping of symmetric cone complementarity problems, A new class of complementarity functions for symmetric cone complementarity problems, Smoothing algorithms for complementarity problems over symmetric cones, A nonsmooth algorithm for cone-constrained eigenvalue problems, On the Lipschitzian property in linear complementarity problems over symmetric cones, Extension of smoothing Newton algorithms to solve linear programming over symmetric cones, A smoothing Newton method based on a one-parametric class of smoothing function for SOCCP, Jordan quadratic SSM-property and its relation to copositive linear transformations on Euclidean Jordan algebras, Some \(\omega \)-unique and \(\omega -P\) properties for linear transformations on Hilbert spaces, Penalized complementarity functions on symmetric cones, On \(Q\) and \(R_0\) properties of a quadratic representation in linear complementarity problems over the second-order cone, A Mehrotra-type predictor-corrector infeasible-interior-point method with a new one-norm neighborhood for symmetric optimization, Gaddum's test for symmetric cones, A new class of smoothing complementarity functions over symmetric cones, Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras, On an interconnection between the Lipschitz continuity of the solution map and the positive principal minor property in linear complementarity problems over Euclidean Jordan algebras, A regularization method for the second-order cone complementarity problem with the Cartesian \(P_0\)-property, Equilibrium problems involving the Lorentz cone, A nonmonotone smoothing Newton algorithm for weighted complementarity problem, Generalized nonlinear complementarity problems with order \(P_0\) and \(R_0\) properties, Some inertia theorems in Euclidean Jordan algebras, Uniqueness for solutions of differential complementarity problems, A one-parametric class of merit functions for the symmetric cone complementarity problem, Strict diagonal dominance and a Geršgorin type theorem in Euclidean Jordan algebras, A smoothing method for second order cone complementarity problem, Positive principal minor property of linear transformations on Euclidean Jordan algebras, Sufficiency of linear transformations on Euclidean Jordan algebras, Predictor-corrector inexact smoothing algorithm for symmetric cone complementarity problems with Cartesian \(P_0\)-property, Growth behavior of two classes of merit functions for symmetric cone complementarity problems, On the finiteness of the cone spectrum of certain linear transformations on Euclidean Jordan algebras, An efficient numerical method for the symmetric positive definite second-order cone linear complementarity problem, Analysis of a smoothing Newton method for second-order cone complementarity problem, Coercivity and strong semismoothness of the penalized Fischer-Burmeister function for the symmetric cone complementarity problem, A smoothing Newton algorithm based on a one-parametric class of smoothing functions for linear programming over symmetric cones, Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search, Some new results on the \(\mathbf{P}\)-type properties of \(\mathbf{Z}\)-transformations on symmetric cones, An \(O(rL)\) infeasible interior-point algorithm for symmetric cone LCP via CHKS function, A Riesz-Thorin type interpolation theorem in Euclidean Jordan algebras, A new method for solving second-order cone eigenvalue complementarity problems, A uniqueness result for linear complementarity problems over the Jordan spin algebra, Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem



Cites Work