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Optimizing eigenvalues of symmetric definite pencils

Proceedings of 1994 American Control Conference - ACC '94, 2005
We consider the following quasiconvex optimization problem: minimize the largest eigenvalue of a symmetric definite matrix pencil depending on parameters. A new form of optimality conditions is given, emphasizing a complementarity condition on primal and dual matrices.
J.-P.A. Haeberly, M.L. Overton
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On a Class of Symmetric Optimization Problems

Cybernetics and Systems Analysis, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fundamental Domains for Symmetric Optimization: Construction and Search

SIAM Journal on Optimization, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Globally Optimal Grouping for Symmetric Boundaries

2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06), 2006
Many natural and man-made structures have a boundary that shows certain level of bilateral symmetry, a property that has been used to solve many computer-vision tasks. In this paper, we present a new grouping method for detecting closed boundaries with symmetry.
J.S. Stahl, null Song Wang
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Computing Eigenelements of Real Symmetric Matrices via Optimization

Computational Optimization and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mongeau, M., Torki, M.
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Monetary Neutrality and Optimality with Symmetric Partial Information

International Economic Journal, 1988
The neutrality and optimality of countercyclical monetary policy are examined in a representative economy featuring competitive equilibria in multiple markets and rational expectations based on a f...
MARSHA J. COURCHANE, DAVID B. NICKERSON
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Algorithmic construction of optimal symmetric Latin hypercube designs

Journal of Statistical Planning and Inference, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Kenny Q.   +2 more
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Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices

SIAM Journal on Matrix Analysis and Applications, 1995
Let \(A\) be a twice Lipschitz-continuously differentiable mapping from \(\mathbb{R}^m\) to the set of \(n \times n\) real symmetric matrices. A proof is given of the local quadratic convergence (previously observed numerically) of an iterative method of the first author [SIAM J. Matrix Anal. Appl.
Overton, Michael L.   +1 more
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Optimal low symmetric dissipation Carnot engines and refrigerators

Physical Review E, 2012
A unified optimization criterion for Carnot engines and refrigerators is proposed. It consists of maximizing the product of the heat absorbed by the working system times the efficiency per unit time of the device, either the engine or the refrigerator. This criterion can be applied to both low symmetric dissipation Carnot engines and refrigerators. For
de Tomas, Carla Mercedes   +2 more
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On Optimization Problems with Symmetric Constraints

2005 5th International Conference on Information Communications & Signal Processing, 2006
The problem of minimizing functional over symmetric constraints arises in many applications in engineering and applied sciences. In this paper a number of computational tools for solving optimization problems over symmetric constraints are proposed. Among many applications, this proposed approach is exploited in the development of minor and principal ...
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