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Global Optimization with Polynomials and the Problem of Moments

- J. Lasserre
- MathematicsSIAM J. Optim.
- 1 March 2000

TLDR

Moments, Positive Polynomials And Their Applications

- J. Lasserre
- Computer Science, Mathematics
- 1 October 2009

TLDR

Further topics on discrete-time Markov control processes

- O. Hernández-Lerma, J. Lasserre
- Mathematics
- 1999

7 Ergodicity and Poisson's Equation.- 7.1 Introduction.- 7.2 Weighted norms and signed kernels.- A. Weighted-norm spaces.- B. Signed kernels.- C. Contraction maps.- 7.3 Recurrence concepts.- A.… Expand

Discrete-time Markov control processes

- O. Hernández-Lerma, J. Lasserre
- Mathematics
- 22 June 1999

1 Introduction and Summary.- 1.1 Introduction.- 1.2 Markov control processes.- 1.3 Preliminary examples.- 1.4 Summary of the following chapters.- 2 Markov Control Processes.- 2.1 Introduction.- 2.2… Expand

GloptiPoly: global optimization over polynomials with Matlab and SeDuMi

- D. Henrion, J. Lasserre
- Computer ScienceProceedings of the 41st IEEE Conference on…
- 10 December 2002

GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality relaxations of the (generally non-convex) global optimization problem of minimizing a multivariable polynomial… Expand

GloptiPoly 3: moments, optimization and semidefinite programming

- D. Henrion, J. Lasserre, J. Löfberg
- Computer ScienceOptim. Methods Softw.
- 17 September 2007

TLDR

An Introduction to Polynomial and Semi-Algebraic Optimization

- J. Lasserre
- Mathematics
- 19 February 2015

This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic… Expand

Detecting global optimality and extracting solutions in GloptiPoly

- D. Henrion, J. Lasserre
- Mathematics
- 2003

GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality (LMI) relaxations of non-convex optimization problems with multivariate polynomial objective function and… Expand

An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs

- J. Lasserre
- MathematicsSIAM J. Optim.
- 1 March 2002

TLDR

SIAM Journal on Optimization

- C. Audet, Heinz H. Bauschke,
+38 authors Henry Wolkowicz - Computer Science
- 2012

The SIAM Journal on Optimization contains research articles on the theory and practice of optimization. The areas addressed include linear and quadratic programming, convex programming, nonlinear… Expand

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