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Octeract Engine
Octeract Engine is a proprietary deterministic global optimization solver for general Mixed-Integer Nonlinear Programs (MINLP).. It claims to use MPI as a means of accelerating solution times. Up to now there hasn't been any publication supporting the statement. History Octeract Engine was developed by Nikos Kazazakis and Gabriel Lau. The first public beta version of Octeract Engine was released in August 2019 and it came out of beta in August 2020. Performance In July 2022 it ranked first on a single core benchmark of Stefan Vigerske's test set MINLPLib as shown by Prof. Mittelmann.http://plato.asu.edu/ftp/minlp.html As of August 2022 it is also the first and only solver to solve the largest open transmission switching problems in the MINLPLib set, namely transswitch2736spp and transswitch2736spr. Features * Distributed computing through MPI * Supports discontinuous elementary functions (e.g. and ) * Supports trigonometric functions * Guarantees global optimality * Reformul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Numerical Analysis Software
Listed here are notable end-user computer applications intended for use with numerical or data analysis: Numerical-software packages General-purpose computer algebra systems Interface-oriented Language-oriented Historically significant * Expensive Desk Calculator written for the TX-0 and PDP-1 The PDP-1 (''Programmed Data Processor-1'') is the first computer in Digital Equipment Corporation's PDP series and was first produced in 1959. It is famous for being the computer most important in the creation of hacker culture at Massachusetts ... in the late 1950s or early 1960s. * S is an (array-based) programming language with strong numerical support. R is an implementation of the S language. See also References {{DEFAULTSORT:Numerical Analysis Software Lists of software Mathematics-related lists *Software ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
JuMP
Jumping is a form of locomotion or movement in which an organism or non-living (e.g., robotic) mechanical system propels itself through the air along a ballistic trajectory. Jump or Jumping also may refer to: Places * Jump, Kentucky or Jump Station, an unincorporated community in Floyd County * Jump, Ohio, a community in Hardin County * Jump, South Yorkshire, a village in Barnsley, England Science and engineering * Jump discontinuity, a change in value of a mathematical function * Jump, a step in a statistical jump process * Jump, a step in a jump diffusion process * Hydraulic jump, a phenomenon in fluid dynamics Computing * Jump instruction, used to alter the control flow of a program * JumpDrive, a brand of, or a generic term for, USB flash drives * Turing jump, an operator in recursion theory Media * ''Jump'' (magazine line), a line of manga magazines ** Weekly Shōnen Jump, the best-selling magazine of the line, often referred to as just ''Jump'' * Jump (musical), a Kore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
BARON
Baron is a rank of nobility or title of honour, often hereditary, in various European countries, either current or historical. The female equivalent is baroness. Typically, the title denotes an aristocrat who ranks higher than a lord or knight, but lower than a viscount or count. Often, barons hold their fief – their lands and income – directly from the monarch. Barons are less often the vassals of other nobles. In many kingdoms, they were entitled to wear a smaller form of a crown called a ''coronet''. The term originates from the Latin term , via Old French. The use of the title ''baron'' came to England via the Norman Conquest of 1066, then the Normans brought the title to Scotland and Italy. It later spread to Scandinavia and Slavic lands. Etymology The word '' baron'' comes from the Old French , from a Late Latin "man; servant, soldier, mercenary" (so used in Salic law; Alemannic law has in the same sense). The scholar Isidore of Seville in the 7th century t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ANTIGONE
In Greek mythology, Antigone ( ; Ancient Greek: Ἀντιγόνη) is the daughter of Oedipus and either his mother Jocasta or, in another variation of the myth, Euryganeia. She is a sister of Polynices, Eteocles, and Ismene.Roman, L., & Roman, M. (2010). The meaning of the name is, as in the case of the masculine equivalent Antigonus, "worthy of one's parents" or "in place of one's parents". She appears in the three 5th century BC tragic plays written by Sophocles, known as the three Theban plays, and she is the main protagonist of the eponymous tragedy ''Antigone''. In Sophocles The story of Antigone was addressed by the fifth-century BC Greek playwright Sophocles in his Theban plays: ''Oedipus Rex'' Antigone and her sister Ismene are seen at the end of '' Oedipus Rex'' as Oedipus laments the "shame" and "sorrow" he is leaving his daughters to. He then begs Creon to watch over them, but in his grief reaches to take them with him as he is led away. Creon prevents hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
IPOPT
IPOPT, short for "Interior Point OPTimizer, pronounced I-P-Opt", is a software library for large scale nonlinear optimization of continuous systems. It is written in Fortran and C and is released under the EPL (formerly CPL). IPOPT implements a primal-dual interior point method, and uses line searches based on Filter methods (Fletcher and Leyffer). IPOPT can be called from various modeling environments and C. IPOPT is part of the COIN-OR project. IPOPT is designed to exploit 1st and 2nd derivative ( Hessians) information if provided (usually via automatic differentiation routines in modeling environments such as AMPL). If no Hessians are provided, IPOPT will approximate them using a quasi-Newton methods, specifically a BFGS update. IPOPT was originally developed by Ph.D. studenAndreas Wächterand ProfLorenz T. Bieglerof the Department of Chemical Engineering at Carnegie Mellon University. Their work was recognized with thINFORMS Computing Society Prizein 2009. Arvind ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
COIN-OR
Computational Infrastructure for Operations Research (COIN-OR), is a project that aims to "create for mathematical software what the open literature is for mathematical theory." The open literature (e.g., a research journal) provides the operations research (OR) community with a peer-review process and an archive. Papers in operations research journals on mathematical theory often contain supporting numerical results from computational studies. The software implementations, models, and data used to produce the numerical results are typically not published. The status quo impeded researchers needing to reproduce computational results, make fair comparisons, and extend the state of the art. The success of Linux, Apache, and other projects popularized the open-source model of software development and distribution. A group at IBM Research proposed open source as an analogous yet viable means to ''publish'' software, models, and data. COIN-OR was conceived as an initiative to promot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
FICO Xpress
The FICO Xpress optimizer is a commercial optimization solver for linear programming (LP), mixed integer linear programming (MILP), convex quadratic programming (QP), convex quadratically constrained quadratic programming (QCQP), second-order cone programming (SOCP) and their mixed integer counterparts. Xpress includes a general purpose non-linear solver, Xpress NonLinear, including a successive linear programming algorithm (SLP, first-order method), and Artelys Knitro (second-order methods). Xpress was originally developed by Dash Optimization, and was acquired by FICO in 2008. Its initial authors were Bob Daniel and Robert Ashford. The first version of Xpress could only solve LPs; support for MIPs was added in 1986. Being released in 1983, Xpress was the first commercial LP and MIP solver running on PCs. In 1992, an Xpress version for parallel computing was published, which was extended to distributed computing five years later. Xpress was the first MIP solver to cross the bi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CPLEX
IBM ILOG CPLEX Optimization Studio (often informally referred to simply as CPLEX) is an optimization software package. In 2004, the work on CPLEX earned the first INFORMS Impact Prize. History The CPLEX Optimizer was named for the simplex method as implemented in the C programming language, although today it also supports other types of mathematical optimization and offers interfaces other than C. It was originally developed by Robert E. Bixby and sold commercially from 1988 by CPLEX Optimization Inc. This was acquired by ILOG in 1997 and ILOG was subsequently acquired by IBM in January 2009. CPLEX continues to be actively developed by IBM. Features The IBM ILOG CPLEX Optimizer solves integer programming problems, very large linear programming problems using either primal or dual variants of the simplex method or the barrier interior point method, convex and non-convex quadratic programming problems, and convex quadratically constrained problems (solved via second-order ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mosel (programming Language)
The FICO Xpress optimizer is a commercial optimization solver for linear programming (LP), mixed integer linear programming (MILP), convex quadratic programming (QP), convex quadratically constrained quadratic programming (QCQP), second-order cone programming (SOCP) and their mixed integer counterparts. Xpress includes a general purpose non-linear solver, Xpress NonLinear, including a successive linear programming algorithm (SLP, first-order method), and Artelys Knitro (second-order methods). Xpress was originally developed by Dash Optimization, and was acquired by FICO in 2008. Its initial authors were Bob Daniel and Robert Ashford. The first version of Xpress could only solve LPs; support for MIPs was added in 1986. Being released in 1983, Xpress was the first commercial LP and MIP solver running on PCs. In 1992, an Xpress version for parallel computing was published, which was extended to distributed computing five years later. Xpress was the first MIP solver to cross the bi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pyomo
Pyomo is a collection of Python software packages for formulating optimization models. Pyomo was developed by William Hart and Jean-Paul Watson at Sandia National Laboratories and David Woodruff at University of California, Davis. Significant extensions to Pyomo were developed by Bethany Nicholson and John Siirola at Sandia National Laboratories, Carl Laird at Purdue University, and Gabriel Hackebeil. Pyomo is an open-source project that is freely available, and it is licensed with the BSD license. Pyomo is developed as part of the COIN-OR project. Pyomo is a popular open-source software package that is used by a variety of government agencies and academic institutions. Features Pyomo allows users to formulate optimization problems in Python in a manner that is similar to the notation commonly used in mathematical optimization. Pyomo supports an object-oriented style of formulating optimization models, which are defined with a variety of modeling components: sets, scalar a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
