Results 191 to 200 of about 437,926 (227)

A property of jacobian matrices and some of its consequences

IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2003
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A Fettweis, N K Bose
exaly   +2 more sources

On the Jacobian Matrices of Generalized Chebyshev Polynomials

Journal of Lie Theory
We give a practical method to compute the Jacobian matrices of generalized Chebyshev polynomials associated to arbitrary semisimple Lie algebras. The entries of each Jacobian matrix can be expressed as a linear combination of characters of irreducible ...
null A. Ileri, null Ö. Kücüksakalli
core   +3 more sources

Estimation of Sparse Jacobian Matrices

SIAM Journal on Algebraic Discrete Methods, 1983
When finding a numerical solution to a system of nonlinear equations, one often estimates the Jacobian \(J\) by finite differences. \textit{A. R. Curtis}, \textit{M. J. D. Powell} and \textit{J. K. Reid} [J. Inst. Math. Appl. 13, 117--119 (1974; Zbl 0273.65036)] presented an algorithm that reduces the number of function evaluations by taking advantage ...
Newsam, Garry N., Ramsdell, John D.
openaire   +2 more sources

Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices

Journal of Mathematical Analysis and Applications, 2022
This note is dedicated to extending from Clarke Jacobians to Bouligand Jacobians various recent results of the first two named authors. The main statement reveals that every nonempty compact connected set of matrices can be expressed as the Bouligand Jacobian at the origin of a suitable Lipschitzian mapping which is moreover either countably piecewise ...
David Bartl, Marián Fabian, Jan Kolář
openaire   +2 more sources

Higher-Order Approximations of Jacobian Matrices

2025 SICE Festival with Annual Conference (SICE FES)
Tetsuya Kinugasa, Yasushi Iwatani
exaly   +2 more sources

Matchings, covers, and Jacobian matrices

Journal of Economic Dynamics and Control, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gilli, Manfred, Garbely, Myriam
openaire   +1 more source

Optimal direct determination of sparse Jacobian matrices

Optimization Methods and Software, 2012
It is well known that a sparse Jacobian matrix can be determined with fewer function evaluations using finite differencing or forward automatic differentiation AD passes than the number of independent variables of the underlying function. In this paper, we show that by grouping together rows into blocks and partitioning the resulting column segments ...
Shahadat Hossain, Trond Steihaug
openaire   +1 more source

On the Convergence of the Matrices Associated to the Adjugate Jacobians

2007
For any n × n matrix D ∈ ℝn×n let adjD denote the transpose of its cofactors. If det D > 0 then there exists a symmetric matrix \( \mathcal{A} = \mathcal{A}\left( \mathcal{D} \right) \) with det \( \mathcal{A} \) = 1 such that $$ adjD = \left( {detD} \right)^{\tfrac{{n - 2}} {n}} \mathcal{A}D^l $$ Where D’ is the transpose of D.
openaire   +2 more sources

On the consistency of state vectors and Jacobian matrices

Combustion and Flame, 2018
Abstract The formulation of reactive flow problems can be both quite challenging and important to the efficiency and robustness of solution algorithms. In this article, we focus on the choice of the thermochemical state vector as it relates to recently-developed computational techniques for complex combustion chemistry problems.
Michael A. Hansen, James C. Sutherland
openaire   +1 more source

Kinematic-Sensitivity Indices for Dimensionally Nonhomogeneous Jacobian Matrices

IEEE Transactions on Robotics, 2010
Numerous performance indices have been proposed to compare robot architectures based on their kinematic properties. However, none of these indices seems to draw a consensus among the robotics community. The most notorious indices, which are manipulability and dexterity, still entail some drawbacks, which are mainly due to the impossibility to define a ...
Philippe Cardou, Samuel Bouchard, Clément Gosselin   +2 more
openaire   +2 more sources