• SPGL1

  • Referenced in 159 articles [sw08365]
  • vector operations are required. The primal-dual solution of this problem gives function and derivative...
  • NEWUOA

  • Referenced in 81 articles [sw00618]
  • optimization without derivatives. The NEWUOA seeks the least value of a function ... vector of dimension n ) when F(x) can be calculated for any vector of variables...
  • numDeriv

  • Referenced in 49 articles [sw11621]
  • extrapolation or, when applicable, a complex step derivative is available. A simple difference method ... provided for real scalar and vector valued functions...
  • ADOL-F

  • Referenced in 10 articles [sw00020]
  • evaluation of first and higher derivatives of vector functions that are defined by computer programs ... Fortran 90/77. The numerical values of derivative vectors are obtained free of truncation errors ... randomly accessed memory of the given function evaluation program. Fortran 90 allows operator overloading (like ... temporary variables than does ADOL-C. The derivative calculations involve a possibly substantial (but always...
  • multtest

  • Referenced in 22 articles [sw08262]
  • variance covariance matrix derived from the vector influence function. Results are reported in terms...
  • DERIVE

  • Referenced in 65 articles [sw02964]
  • incorporated into TI-Nspire CAS software Derive 6 is a powerful system for doing symbolic ... processes algebraic variables, expressions, equations, functions, vectors, matrices and Boolean expressions like a scientific calculator ... integration of numeric, algebraic and graphic capabilities, Derive makes an excellent tool for learning, teaching...
  • UOBYQA

  • Referenced in 60 articles [sw07576]
  • objective function by forming quadratic models by interpolation. Obviously, no first derivatives are required ... iteration of the algorithm generates a new vector of variables either by minimizing the quadratic ... algorithm works with the Lagrange functions of the interpolation equations explicitly; therefore their coefficients...
  • SPHEREPACK

  • Referenced in 26 articles [sw04874]
  • vorticity, latitudinal derivatives, gradients, the Laplacian of both scalar and vector functions, and the inverses...
  • energy

  • Referenced in 62 articles [sw08072]
  • random vectors, which characterizes equality of distributions. The name energy derives from Newton’s gravitational ... energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric...
  • DiffSharp

  • Referenced in 25 articles [sw16033]
  • functional automatic differentiation (AD) library. AD allows exact and efficient calculation of derivatives, by systematically ... vector products) is applied using higher-order functions, that is, functions which take other functions ... arguments. Your functions can use the full expressive capability of the language including control flow ... that you can compute exact higher-order derivatives or differentiate functions that are internally making...
  • Poblano

  • Referenced in 9 articles [sw04186]
  • only first-order derivative information (e.g., gradients for scalar-valued objective functions), and therefore ... scalar-valued objective functions taking vector inputs. The gradient (i.e., first derivative) of the objective...
  • MDC-ELLIPSOIDs

  • Referenced in 8 articles [sw22577]
  • deducible given only the implicit surface functional. Contact detection is performed by simply evaluating ... vectors given the analytical expression of the normal vector which, by vector calculus, is derived ... provide a base of three orthogonal vectors, in which one of them is collinear...
  • DIMSYM

  • Referenced in 72 articles [sw04279]
  • partial differential equations. To use its primary function the user specifies a system of ordinary ... user to compute Lie brackets, vector derivatives and so on and it has an interface...
  • Optim

  • Referenced in 11 articles [sw29999]
  • manifolds, functions of complex numbers, and input types such as arbitrary precision vectors and matrices ... have implemented routines for derivative free, first-order, and second-order optimization methods. The user...
  • PADRE2

  • Referenced in 13 articles [sw00667]
  • Fortran precompiler yielding error estimates and second derivatives. PADRE2 is a precomplier that generates ... subprogram) representing a scalar-valued function or a vector-valued function with many variables...
  • AlgoPy

  • Referenced in 6 articles [sw16107]
  • functions, vectorized operations, slicing and broadcasting. AlgoPy provides the means to compute derivatives of arbitrary ... contrast to existing AD tools, vectorized operations and NLA functions are not considered...
  • MAD

  • Referenced in 25 articles [sw12534]
  • evaluation of first derivatives of multidimensional functions that are defined by computer codes written ... separation of the linear combination of derivative vectors into a separate derivative vector class derivvec...
  • multitest

  • Referenced in 2 articles [sw08130]
  • variance covariance matrix derived from the vector influence function. Results are reported in terms...
  • MRST-AD

  • Referenced in 22 articles [sw25330]
  • reactive effects, and immediately benefit from existing functionality such as constrained-pressure-residual (CPR) type ... combines three key features: (i) a highly vectorized scripting language that enables the user ... automatic differentiation that ensures that no analytical derivatives have to be programmed explicitly as long ... combining imperative and object-oriented paradigms with functional programming. The toolbox also offers additional features...
  • BTN

  • Referenced in 3 articles [sw00094]
  • evaluate the objective function and its gradient vector of first derivatives. The algorithm is based...