Results 11 to 20 of about 437,926 (227)

The efficient computation of sparse Jacobian matrices using automatic differentiation [PDF]

open access: yes, 1995
This paper is concerned with the efficient computation of sparse Jacobian matrices of nonlinear vector maps using automatic differentiation (AD). Specifically, we propose the use of a graph coloring technique, bi-coloring, to exploit the sparsity of the ...
Thomas Coleman   +3 more
core   +13 more sources

Newton-PGSS and Its Improvement Method for Solving Nonlinear Systems with Saddle Point Jacobian Matrices

open access: yesJournal of Mathematics, 2021
The preconditioned generalized shift-splitting (PGSS) iteration method is unconditionally convergent for solving saddle point problems with nonsymmetric coefficient matrices.
Yao Xiao, Qingbiao Wu, Yuanyuan Zhang
doaj   +1 more source

Forward Kinematics and Singularity Analyses of an Uncoupled Parallel Manipulator by Algebraic Screw Theory

open access: yesIEEE Access, 2022
In this contribution, the Jacobian analysis of a four-legged six-degrees-of-freedom decoupled parallel manipulator is carried out through the screw theory. As an intermediate step, for the sake of completeness the inverse/forward displacement analysis as
Jaime Gallardo-Alvarado   +4 more
doaj   +1 more source

Derivatives and inverse of cascaded linear+nonlinear neural models. [PDF]

open access: yesPLoS ONE, 2018
In vision science, cascades of Linear+Nonlinear transforms are very successful in modeling a number of perceptual experiences. However, the conventional literature is usually too focused on only describing the forward input-output transform.
M Martinez-Garcia   +4 more
doaj   +1 more source

Expansion of the Nodal-Adjoint Method for Simple and Efficient Computation of the 2D Tomographic Imaging Jacobian Matrix

open access: yesSensors, 2021
This paper focuses on the construction of the Jacobian matrix required in tomographic reconstruction algorithms. In microwave tomography, computing the forward solutions during the iterative reconstruction process impacts the accuracy and computational ...
Samar Hosseinzadegan   +4 more
doaj   +1 more source

A method to formulate a dimensionally homogeneous Jacobian of parallel manipulators [PDF]

open access: yes, 2011
This paper presents a general and systematic approach to formulate the dimensionally homogeneous Jacobian, which is an important issue for the dexterity evaluation and dimensional synthesis of f-degrees-of-freedom (DOF) (f ≤ 6) parallel manipulators ...
Huang, Tian   +5 more
core   +1 more source

Observations on the Computation of Eigenvalue and Eigenvector Jacobians

open access: yesAlgorithms, 2019
Many scientific and engineering problems benefit from analytic expressions for eigenvalue and eigenvector derivatives with respect to the elements of the parent matrix.
Andrew J. Liounis   +2 more
doaj   +1 more source

Nonlinear Optimal Control for the Nine-Phase Permanent Magnet Synchronous Motor

open access: yesPower Electronics and Drives, 2023
Multi-phase electric motors and in particular nine-phase permanent magnet synchronous motors (9-phase PMSMs) find use in electric actuation, traction and propulsion systems.
Rigatos Gerasimos G.   +5 more
doaj   +1 more source

Geometric parameters in the target matrix mesh optimization paradigm

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The Target Matrix Optimization Paradigm for improving mesh quality has always had, as its agenda, to create a direct path between application mesh quality requirements and a set of target matrices that can result in an optimal mesh that meets the ...
Patrick Knupp
doaj   +1 more source

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