Signomial and polynomial optimization via relative entropy and partial dualization
暂无分享,去创建一个
[1] A. K. Rigler,et al. A penalty treatment of equality constraints in generalized geometric programming , 1982 .
[2] Yuan Ma,et al. A robust algorithm for generalized geometric programming , 2008, J. Glob. Optim..
[3] H. Koeppl,et al. Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks , 2012 .
[4] Peiping Shen,et al. Global optimization of signomial geometric programming using linear relaxation , 2004, Appl. Math. Comput..
[5] J. Maurice Rojas,et al. Optimization and NP_R-completeness of certain fewnomials , 2009, SNC '09.
[6] Martin A. York,et al. Application of Signomial Programming to Aircraft Design , 2017 .
[7] Adrian S. Lewis,et al. Convex Analysis And Nonlinear Optimization , 2000 .
[8] Katta G. Murty,et al. Some NP-complete problems in quadratic and nonlinear programming , 1987, Math. Program..
[9] M. Powell. A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation , 1994 .
[10] Thorsten Theobald,et al. A unified framework of SAGE and SONC polynomials and its duality theory , 2019, Math. Comput..
[11] Allen Silver,et al. Beta , 1975, The SAGE Encyclopedia of Research Design.
[12] Shashwati Ray,et al. An efficient algorithm for range computation of polynomials using the Bernstein form , 2009, J. Glob. Optim..
[13] Shanhe Wu,et al. Some Retarded Difference Inequalities of Product Form and Their Application , 2014 .
[14] Heinz Koeppl,et al. Finding invariant sets for biological systems using monomial domination , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).
[15] V. Chandrasekaran,et al. Newton Polytopes and Relative Entropy Optimization , 2018, Foundations of Computational Mathematics.
[16] J. Lasserre. An Introduction to Polynomial and Semi-Algebraic Optimization , 2015 .
[17] Gongxian Xu,et al. Global optimization of signomial geometric programming problems , 2014, Eur. J. Oper. Res..
[18] N. Z. Shor. Class of global minimum bounds of polynomial functions , 1987 .
[19] James Yan. Signomial programs with equality constraints : numerical solution and applications , 1976 .
[20] Stephen P. Boyd,et al. ECOS: An SOCP solver for embedded systems , 2013, 2013 European Control Conference (ECC).
[21] Parikshit Shah,et al. Relative Entropy Relaxations for Signomial Optimization , 2014, SIAM J. Optim..
[22] G. Bard. Some Basic Facts about Linear Algebra over \(\mathbb{G}\mathbb{F}\)(2) , 2009 .
[23] Stephen P. Boyd,et al. Disciplined geometric programming , 2018, Optimization Letters.
[24] Jean B. Lasserre,et al. Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity , 2016, Mathematical Programming Computation.
[25] B. Reznick,et al. Polynomials that are positive on an interval , 2000 .
[26] Didier Henrion,et al. GloptiPoly 3: moments, optimization and semidefinite programming , 2007, Optim. Methods Softw..
[27] Amir Ali Ahmadi,et al. DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization , 2017, SIAM J. Appl. Algebra Geom..
[28] B. Reznick. Forms derived from the arithmetic-geometric inequality , 1989 .
[29] Jean B. Lasserre,et al. Global Optimization with Polynomials and the Problem of Moments , 2000, SIAM J. Optim..
[30] S. Mizutani. On MINDEP of the University of British Columbia , 1976 .
[31] Brian S. Cohen,et al. Comparison of Algorithms for Including Equality Constraints in Signomial Programming ACDL Technical Report TR-2017-1 , 2017 .
[32] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[33] Rabih A. Jabr. Inductor design using signomial programming , 2007 .
[34] Yanjun Wang,et al. A deterministic global optimization algorithm for generalized geometric programming , 2005, Appl. Math. Comput..
[35] Timo de Wolff,et al. The Algebraic Boundary of the Sonc-Cone , 2019, SIAM J. Appl. Algebra Geom..
[36] M. Laurent. Sums of Squares, Moment Matrices and Optimization Over Polynomials , 2009 .
[37] Timo de Wolff,et al. Amoebas, nonnegative polynomials and sums of squares supported on circuits , 2014, 1402.0462.
[38] Peiping Shen,et al. A Global Optimization Algorithm for Signomial Geometric Programming Problem , 2014 .
[39] Shao-Jian Qu,et al. A new global optimization algorithm for signomial geometric programming via Lagrangian relaxation , 2007, Appl. Math. Comput..
[40] Mung Chiang,et al. Nonconvex Optimization for Communication Networks , 2009 .
[41] Jean B. Lasserre,et al. A bounded degree SOS hierarchy for polynomial optimization , 2015, EURO J. Comput. Optim..
[42] Peiping Shen,et al. A new rectangle branch-and-pruning approach for generalized geometric programming , 2006, Appl. Math. Comput..
[43] Pablo A. Parrilo,et al. SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB , 2013, ArXiv.
[44] Edward Burnell,et al. GPkit: A Human-Centered Approach to Convex Optimization in Engineering Design , 2020, CHI.
[45] Jan Verschelde,et al. Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation , 1999, TOMS.
[46] Timo de Wolff,et al. An Experimental Comparison of SONC and SOS Certificates for Unconstrained Optimization , 2018, ArXiv.