Software for estimating sparse Jacobian matrices
ACM Transactions on Mathematical Software (TOMS)
Software for estimating sparse Hessian matrices
ACM Transactions on Mathematical Software (TOMS)
The cyclic coloring problem and estimation of spare hessian matrices
SIAM Journal on Algebraic and Discrete Methods
Automatic differentiation in MATLAB
Applied Numerical Mathematics
Computing large sparse Jacobian matrices using automatic differentiation
SIAM Journal on Scientific Computing
Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
ACM Transactions on Mathematical Software (TOMS)
The Efficient Computation of Sparse Jacobian Matrices Using Automatic Differentiation
SIAM Journal on Scientific Computing
The Efficient Computation of Structured Gradients using Automatic Differentiation
SIAM Journal on Scientific Computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
ADMIT-1 : Automatic Differentiation and MATLAB Interface Toolbox
ADMIT-1 : Automatic Differentiation and MATLAB Interface Toolbox
Using AD to solve BVPs in MATLAB
ACM Transactions on Mathematical Software (TOMS)
An efficient overloaded implementation of forward mode automatic differentiation in MATLAB
ACM Transactions on Mathematical Software (TOMS)
Efficient and accurate derivatives for a software process chain in airfoil shape optimization
Future Generation Computer Systems
On the implementation of automatic differentiation tools
Higher-Order and Symbolic Computation
On the discrete adjoints of adaptive time stepping algorithms
Journal of Computational and Applied Mathematics
Efficient and accurate derivatives for a software process chain in airfoil shape optimization
Future Generation Computer Systems
Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation
Mathematics and Computers in Simulation
An efficient overloaded method for computing derivatives of mathematical functions in MATLAB
ACM Transactions on Mathematical Software (TOMS)
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ADMIT-1 enables the computation of sparse Jacobian and Hessian matrices, using automatic differentiation technology, from a MATLAB environment. Given a function to be differentiated, ADMIT-1 will exploit sparsity if present to yield sparse derivative matrices (in sparse MATLAB form). A generic automatic differentiation tool, subject to some functionality requirements, can be plugged into ADMIT-1; examples include ADOL-C (C/C++ target functions)and ADMAT (MATLAB target funcitons). ADMIT-1 also allows for the calculation of gradients and has several other related functions. This article provides an introduction to the design and usage of ADMIT-1.