• BBCPOP

  • Referenced in 3 articles [sw31757]
  • relaxations of a class of polynomial optimization (minimization) problems (POPs) with binary, box and complementarity...
  • ROLMIP

  • Referenced in 11 articles [sw21158]
  • designed to work specifically with optimization problems presenting parameter-dependent variables with parameters ... simplex. The variables are assumed to depend polynomially ... parameters, being the polynomials considered to be homogeneous. Such optimization problems arise, for example...
  • POEM

  • Referenced in 2 articles [sw25733]
  • Here we present our software for polynomial optimization via sums of nonnegative circuit polynomials (SONC...
  • Algorithm 829

  • Referenced in 37 articles [sw04467]
  • functions for multiextremal multidimensional box-constrained global optimization is presented. Each test class consists ... convex quadratic function systematically distorted by polynomials in order to introduce local minima. To determine...
  • Aztec

  • Referenced in 83 articles [sw12817]
  • Jacobi, block Jacobi, Gauss-Seidel, least-squares polynomials, and overlapping domain decomposition using sparse ... parallel implementation and the library includes highly optimized matrix-vector multiply kernels and preconditioners...
  • ParetoImageSDP

  • Referenced in 10 articles [sw28194]
  • approximations of projections and polynomial images of semialgebraic sets” (on Optimization Online...
  • Sieve-SDP

  • Referenced in 2 articles [sw31824]
  • infeasibility. It does not rely on any optimization solver: the only subroutine it needs ... literature, with many SDPs coming from polynomial optimization...
  • POS3POLY

  • Referenced in 3 articles [sw09847]
  • POS3POLY -- a MATLAB preprocessor for optimization with positive polynomials. Positive polynomials, relaxed ... work with positive polynomials as variables in a convex optimization problem. We present here ... real and hybrid. The positivity of the polynomials can be global or only ... uses SeDuMi for solving the convex optimization problems. POS3POLY can also work inside...
  • RLT-POS

  • Referenced in 3 articles [sw18321]
  • reformulation-linearization technique-based optimization software for solving polynomial programming problems. In this paper ... linearization technique-based open-source optimization software for solving polynomial programming problems...
  • AlgRemez

  • Referenced in 4 articles [sw23218]
  • Remez algorithm which calculates optimal rational (and polynomial) approximations to the nth root over...
  • borderbasix

  • Referenced in 1 article [sw16958]
  • Border basis for polynomial system solving and optimization. We describe the software package borderbasix dedicated ... border bases and the solutions of polynomial equations. We present the main ingredients ... from multiplication matrices, real radical computation, polynomial optimization. The implementation parameterized by the coefficient type ... provides a versatile family of tools for polynomial computation with modular arithmetic, floating point arithmetic...
  • ORBIT

  • Referenced in 32 articles [sw20552]
  • derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region ... functions using fewer function evaluations than the polynomial models considered by present techniques. Approximation guarantees ... problems, calibration of a watershed model and optimization of a PDE-based bioremediation plan...
  • NFLlib

  • Referenced in 3 articles [sw14675]
  • ideal lattice cryptography in the widely-spread polynomial ring ... power of 2. The library combines algorithmic optimizations (chinese remainder theorem, optimized number theoretic transform ... together with programming optimization techniques (SSE and AVX2 specializations, C++ expression templates, etc.), and will ... libraries NTL and flint implementing polynomial arithmetic, and the optimized library for lattice homomorphic encryption...
  • POCP

  • Referenced in 1 article [sw05185]
  • POCP: a package for polynomial optimal control problems: POCP is a free Matlab package using ... solving nonlinear optimal control problems for which all the problem data are polynomial. POCP reformulates...
  • ptw

  • Referenced in 1 article [sw19183]
  • locations. The algorithm searches for an optimal polynomial describing the warping. It is possible ... samples and one reference. Two optimization criteria are implemented: RMS (Root Mean Square error...
  • DirectSD

  • Referenced in 2 articles [sw29278]
  • toolbox for MATLAB: Further progress in polynomial design of sampled-data systems. The paper presents ... version of the DirectSD toolbox for optimal design of sampled-data systems in Matlab ... This software realizes recently developed polynomial methods for optimal sampled-data systems design...
  • CoulombHiggs

  • Referenced in 20 articles [sw16336]
  • allowed to compute the Dolbeault-Laurent polynomial, relax assumptions on single-centered indices for basis ... along with the review [7], has been optimized to speed up the evaluation of Coulomb...
  • PSOPT

  • Referenced in 7 articles [sw20700]
  • solve optimal control problems by approximating the time-dependent variables using global polynomials, such ... programming is then used to find local optimal solutions. PSOPT is able to deal with...
  • VLI

  • Referenced in 1 article [sw33112]
  • library can be used independently optimized kernels for symbolic polynomials with large integer coefficients ... provided. The kernels were manually optimized in assembly language for the x86-64 and power64 ... requires inner products of large vectors of polynomials with large integer coefficients. For this purpose ... inline PTX assembly. This way we make optimal use of today’s and upcoming hybrid...
  • Mantissa

  • Referenced in 1 article [sw05600]
  • rational and double polynomials, various orthogonal polynomials, some optimization algorithms using direct search methods...