The numerical range theory and boundedness of solutions of the complementarity problem

DOI10.1016/0022-247X(89)90038-3zbMath0722.47008OpenAlexW2092632150MaRDI QIDQ5895386

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Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90038-3

zbMATH Keywords

Hilbert spacenumerical rangeadjointselfadjointpositive definiteclosed convex conecomplementary problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical range, numerical radius (47A12) Existence theories for problems in abstract spaces (49J27) Convex sets and cones of operators (47L07)

Related Items (4)

Some new existence, sensitivity and stability results for the nonlinear complementarity problem ⋮ Nonlinear analysis and complementarity theory ⋮ Mean Value Theorems for the Scalar Derivative and Applications ⋮ Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems

Cites Work

• The complementarity problem: Theory and methods of solution
• Bounds for the solution set of linear complementarity problems
• Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate
• Positive solutions of some eigenvalue problems in the theory of variational inequalities
• Eigenvalue problems for nonlinear elliptic variational inequalities on a cone
• Semi-Inner-Product Spaces
• Simple bounds for solutions of monotone complementarity problems and convex programs
• Simple computable bounds for solutions of linear complementarity problems and linear programs
• The spectra of bounded linear self-adjoint operators relative to a cone in Hilbert space
• Characterizations of bounded solutions of linear complementarity problems
• Complementarity Problem and Duality Over Convex Cones
• Classes of Semi-Inner-Product Spaces
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