Apache Commons Math Copyright 2001-2012 The Apache Software Foundation This product includes software developed by The Apache Software Foundation (http://www.apache.org/). =============================================================================== The BracketFinder (package org.apache.commons.math3.optimization.univariate) and PowellOptimizer (package org.apache.commons.math3.optimization.general) classes are based on the Python code in module "optimize.py" (version 0.5) developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/) Copyright © 2003-2009 SciPy Developers. =============================================================================== The LinearConstraint, LinearObjectiveFunction, LinearOptimizer, RelationShip, SimplexSolver and SimplexTableau classes in package org.apache.commons.math3.optimization.linear include software developed by Benjamin McCann (http://www.benmccann.com) and distributed with the following copyright: Copyright 2009 Google Inc. =============================================================================== This product includes software developed by the University of Chicago, as Operator of Argonne National Laboratory. The LevenbergMarquardtOptimizer class in package org.apache.commons.math3.optimization.general includes software translated from the lmder, lmpar and qrsolv Fortran routines from the Minpack package Minpack Copyright Notice (1999) University of Chicago. All rights reserved =============================================================================== The GraggBulirschStoerIntegrator class in package org.apache.commons.math3.ode.nonstiff includes software translated from the odex Fortran routine developed by E. Hairer and G. Wanner. Original source copyright: Copyright (c) 2004, Ernst Hairer =============================================================================== The EigenDecompositionImpl class in package org.apache.commons.math3.linear includes software translated from some LAPACK Fortran routines. Original source copyright: Copyright (c) 1992-2008 The University of Tennessee. All rights reserved. =============================================================================== The MersenneTwister class in package org.apache.commons.math3.random includes software translated from the 2002-01-26 version of the Mersenne-Twister generator written in C by Makoto Matsumoto and Takuji Nishimura. Original source copyright: Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, All rights reserved =============================================================================== The LocalizedFormatsTest class in the unit tests is an adapted version of the OrekitMessagesTest class from the orekit library distributed under the terms of the Apache 2 licence. Original source copyright: Copyright 2010 CS Communication & Systèmes =============================================================================== The complete text of licenses and disclaimers associated with the the original sources enumerated above at the time of code translation are in the LICENSE.txt file.