ACM Transactions on Mathematical Software
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Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
ACM Transactions on Mathematical Software - Tập 2 Số 1 - Trang 98-107 - 1976
Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming
ACM Transactions on Mathematical Software - Tập 4 Số 1 - Trang 34-50 - 1978
Algorithm 548: Solution of the Assignment Problem [H]
ACM Transactions on Mathematical Software - Tập 6 Số 1 - Trang 104-111 - 1980
SBA
ACM Transactions on Mathematical Software - Tập 36 Số 1 - Trang 1-30 - 2009
Bundle adjustment constitutes a large, nonlinear least-squares problem that is
often solved as the last step of feature-based structure and motion estimation
computer vision algorithms to obtain optimal estimates. Due to the very large
number of parameters involved, a general purpose least-squares algorithm incurs
high computational and memory storage costs when applied to bundle adjustment.
Fortu...
An Exact Method for Finding the Roots of a Complex Polynomial
ACM Transactions on Mathematical Software - Tập 2 Số 4 - Trang 351-363 - 1976
Algorithm 829
ACM Transactions on Mathematical Software - Tập 29 Số 4 - Trang 469-480 - 2003
A procedure for generating non-differentiable, continuously differentiable, and
twice continuously differentiable classes of test functions for multiextremal
multidimensional box-constrained global optimization is presented. Each test
class consists of 100 functions. Test functions are generated by defining a
convex quadratic function systematically distorted by polynomials in order to
introduce l...
Algorithm 897
ACM Transactions on Mathematical Software - Tập 36 Số 3 - Trang 1-24 - 2009
VTDIRECT95 is a Fortran 95 implementation of D. R. Jones' deterministic global
optimization algorithm called DIRECT , which is widely used in multidisciplinary
engineering design, biological science, and physical science applications. The
package includes both a serial code and a data-distributed massively parallel
code for different problem scales and optimization (exploration vs.
exploitation) g...
Recipes for adjoint code construction
ACM Transactions on Mathematical Software - Tập 24 Số 4 - Trang 437-474 - 1998
Adjoint models are increasingly being developed for use in meteorology and
oceanography. Typical applications are data assimilation, model tuning,
sensitivity analysis, and determination of singular vectors. The adjoint model
computes the gradient of a cost function with respect to control variables.
Generation of adjoint code may be seen as the special case of differentiation of
algorithms in rev...
Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithm—Corrigenda for this article is available here
ACM Transactions on Mathematical Software - Tập 13 Số 3 - Trang 262-280 - 1987
A new global optimization algorithm for functions of continuous variables is
presented, derived from the “Simulated Annealing” algorithm recently introduced
in combinatorial optimization. The algorithm is essentially an iterative random
search procedure with adaptive moves along the coordinate directions. It permits
uphill moves under the control of a probabilistic criterion, thus tending to
avoid...
Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
ACM Transactions on Mathematical Software - Tập 45 Số 3 - Trang 1-40 - 2019
We present an algorithmic framework for matrix-free evaluation of discontinuous
Galerkin finite element operators. It relies on fast quadrature with sum
factorization on quadrilateral and hexahedral meshes, targeting general weak
forms of linear and nonlinear partial differential equations. Different
algorithms and data structures are compared in an in-depth performance analysis.
The implementatio...
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