Eigenvalue Optimization for Symmetric Matrices

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- C. Helmberg, F. Rendl and M.L. Overton,

**The Spectral Bundle Method with Second-Order Information**

Optimization Methods and Software 29 (2014), pp. 855-876

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- Z. Deng, M. Gu and M.L. Overton,

**Structured Primal-Dual Interior-Point Methods for Banded Semidefinite Programming**

*Operator Theory: Advances and Applications*202 (2009), pp. 111-141. - M. Fukuda, B.J. Braams, M. Nakata, M.L. Overton, J.K. Percus, M. Yamashita and Z. Zhao

**Large-Scale Semidefinite Programs in Electronic Structure Calculation**

*Math. Programming*109 (2007), pp. 553-580.

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**The Reduced Density Matrix Method for Electronic Structure Calculations and the Role of Three-Index Representability**

*Journal of Chemical Physics*120 (2004), pp. 2095-2104

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- J.-P. Haeberly, M.V. Nayakkankuppam and M.L. Overton,

**Extending Mehrotra and Gondzio Higher Order Methods to Mixed Semidefinite-Quadratic-Linear Programming**

*Optimization Methods and Software*11 (1999), pp. 67-90.

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- J.-P. Haeberly, M.V. Nayakkankuppam and M.L. Overton,

**Mixed Semidefinite-Quadratic-Linear Programs**

In:*Recent Advances in LMI Methods for Control*(L. El Ghaoui and S.I. Niculescu, eds), SIAM, 2000, pp. 41-54.

Book web page

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- M.V. Nayakkankuppam and M.L. Overton,

**Conditioning of Semidefinite Programs**

*Math Programming*85 (1999), pp. 525-540

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- F. Alizadeh, J.-P. A. Haeberly and M.L. Overton,

**Primal-Dual Interior-Point Methods for Semidefinite Programming:**

Convergence Rates, Stability and Numerical Results

*SIAM J. Optim.*8 (1998), pp. 746-768

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- F. Alizadeh, J.-P. A. Haeberly and M.L. Overton,

**Complementarity and Nondegeneracy in Semidefinite Programming**

*Math. Programming*77 (1997), pp. 111-128

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- M. V. Nayakkankuppam and M.L. Overton,

**Primal-Dual Interior-Point Methods for Semidefinite Programming: Numerical Experience with Block-Diagonal Problems**

Proceedings of the IEEE International Symposium on Computer-Aided Control System Design, Dearborn, Michigan, Sept 1996

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- M.L. Overton and H. Wolkowicz,

**Semidefinite Programming**(Foreword to a special issue on the subject)

*Math. Programming*77 (1997), pp. 105-110

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- A.S. Lewis and M.L. Overton,

**Eigenvalue Optimization**

*Acta Numerica*5 (1996), pp. 149-190.

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- F. Alizadeh, J.-P. A. Haeberly and M.L. Overton,

**Primal-Dual Interior-Point Methods for Semidefinite Programming**

Manuscript, presented at the Math Programming Symposium, Ann Arbor, 1994

No longer available: see more recent publications above. - F. Alizadeh, J.-P. A. Haeberly and M.L. Overton,

**A New Primal-Dual Interior-Point Method for Semidefinite Programming**

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, (J.G. Lewis, ed.), SIAM, Philadelphia, 1994, pp. 113-117.

No longer available: see more recent publications above. - M.L. Overton and R.S. Womersley,

**Second Derivatives for Eigenvalue Optimization**

*SIAM J. Matrix Anal. Appl.*16 (1995), pp. 697--718.

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- M.L. Overton and R.S. Womersley,

**Optimality Conditions and Duality Theory for Minimizing Sums of the Largest Eigenvalues of Symmetric Matrices**

*Math. Programming*62 (1993), pp. 321-357.

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Send e-mail for a reprint. - J.-P. A. Haeberly and M.L. Overton,

**Optimizing Eigenvalues of Symmetric Definite Pencils**

Proceedings of Americal Control Conference, Baltimore, July 1994.

Postscript (final version sent to publisher) - J.-P. A. Haeberly and M.L. Overton,

**A Hybrid Algorithm for Optimizing Eigenvalues of Symmetric Definite Pencils**

*SIAM J. Matr. Anal. Appl.*15 (1994), pp. 1141-1156.

Abstract (actual published version)

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**Large-Scale Optimization of Eigenvalues**

*SIAM J. Optimization,*2 (1992), pp. 88-120.

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**On Minimizing the Maximum Eigenvalue of a Symmetric Matrix,**

*SIAM J. Matrix Anal. Appl.,*9 (1988), pp. 256-268.

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E-mail address: overton@cs.nyu.edu

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