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Inversion of jacobian matrices in metal—ligand—pH studies
Talanta, 1989Many non-linear regression programs which optimize the stability constants of chemical equilibria make use of Jacobian matrices for both the simulation of speciation by Newton-Raphson iteration and the optimization of parameters by Gauss-Newton iteration.
J R, Miller, P D, Taylor
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Estimation of Sparse Jacobian Matrices and Graph Coloring Blems
SIAM Journal on Numerical Analysis, 1983Given a mapping with a sparse Jacobian matrix, the problem of minimizing the number of function evaluations needed to estimate the Jacobian matrix by differences is investigated. This problem can be attacked as a graph coloring problem and this approach leads to very efficient algorithms.
Coleman, Thomas F., Moré, Jorge J.
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Jacobian Matrices and Lyapunov Exponents
2017The Lyapunov exponent λ represents a measure of stable or unstable change in the nonlinear behavior of systems. This exponent can be calculated as the real components of the eigenvalue solutions to the differential equations describing a system. They can be linked to transition points between single period and period doubling events in bifurcation ...
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Compensation of Robot joint variables using special Jacobian matrices
Journal of Robotic Systems, 1991AbstractIn dealing with an industrial manipulator, the end‐effector accuracy is a major concern. The positioning of the end effector is determined by the controller that utilizes the data from a closed‐form kinematic inversion. The closed‐form inversion uses nominal, i.e., manufacturer specified, values of link lengths, twists, and offsets.
C. R. Mirman, Krishna C. Gupta
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Computational aspects of jacobian matrices
1997The underlying theme of this talk is the jacobian matrix of a (finite) set of multivariate polynomials f = {l1…-, lm} ⊂ R = k[X] = k[X1…,Xd]. Here k stands for a field, eventually of characteristic zero. Jacobian matrices are classical, useful in almost all branches of mathematics and there is a famous conjecture that bears the name!
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Description of the set of strong limits of nonreflective Jacobian matrices
Journal of Mathematical Sciences, 1997See the review in Zbl 0810.47015.
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Bi-Directional Determination of Sparse Jacobian Matrices: Approaches and Algorithms
Electronic Notes in Discrete Mathematics, 2006Shahadat Hossain
exaly
Clarke Generalized Jacobian of the Projection onto the Cone of Positive Semidefinite Matrices
Set-Valued and Variational Analysis, 2006Jérôme Malick
exaly

