SBAACM Transactions on Mathematical Software - Tập 36 Số 1 - Trang 1-30 - 2009
Manolis Lourakis, Antonis Argyros
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 adjustmen...... hiện toàn bộ
Algorithm 829ACM Transactions on Mathematical Software - Tập 29 Số 4 - Trang 469-480 - 2003
Marco Gaviano, Dmitri E. Kvasov, Daniela Lera, Yaroslav D. Sergeyev
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 int...... hiện toàn bộ
Algorithm 897ACM Transactions on Mathematical Software - Tập 36 Số 3 - Trang 1-24 - 2009
Jian He, Layne T. Watson, Masha Sosonkina
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 di...... hiện toàn bộ
Recipes for adjoint code constructionACM Transactions on Mathematical Software - Tập 24 Số 4 - Trang 437-474 - 1998
Ralf Giering, T. Kaminski
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 algorithm...... hiện toàn bộ
Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element OperatorsACM Transactions on Mathematical Software - Tập 45 Số 3 - Trang 1-40 - 2019
Martin Kronbichler, Katharina Kormann
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 imple...... hiện toàn bộ