Jacobian matrix and determinant

Known as: Jacobian, Jacobi's delta, Jacobian derivative 
In vector calculus, the Jacobian matrix (/dʒᵻˈkoʊbiən/, /jᵻˈkoʊbiən/) is the matrix of all first-order partial derivatives of a vector-valued… (More)
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Related topics

Related topics

47 relations
Automatic differentiationAutonomous convergence theoremBifurcation theoryBrouwer fixed-point theorem
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Papers overview

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2017
2017
The Arithmetic Jacobian Matrix and Determinant
Let a1, . . . , am be such real numbers that can be expressed as a finite product of prime powers with rational exponents. Using… (More)
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Highly Cited
2013
Highly Cited
2013
Supervised Descent Method and Its Applications to Face Alignment
Many computer vision problems (e.g., camera calibration, image alignment, structure from motion) are solved through a nonlinear… (More)
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Highly Cited
2010
Highly Cited
2010
The Intermediate Jacobian of the Cubic Threefold
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of… (More)
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Highly Cited
2000
Highly Cited
2000
ACHIEVING FINITE ELEMENT MESH QUALITY VIA OPTIMIZATION OF THE JACOBIAN MATRIX NORM AND ASSOCIATED QUANTITIES PART II - A FRAMEWORK FOR VOLUME MESH OPTIMIZATION & THE CONDITION NUMBER OF THE JACOBIAN…
  • PATRICK M. KWPP
  • 2000
Three-dimensional unstructured tetrahedral and hexahedraf finite element mesh optimization is studied from a theoretical… (More)
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Highly Cited
1996
Highly Cited
1996
The fundamental matrix: Theory, algorithms, and stability analysis
In this paper we analyze in some detail the geometry of a pair of cameras, i.e., a stereo rig. Contrarily to what has been done… (More)
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Highly Cited
1996
Highly Cited
1996
Robust constrained model predictive control using linear matrix inequalities,
The primary disadvantage of current design techniques for model predict,ive control (MPC) is their inability to explicitly deal… (More)
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Highly Cited
1993
Highly Cited
1993
A nonsmooth version of Newton's method
Newton's method for solving a nonlinear equation of several variables is extended to a nonsmooth case by using the generalized… (More)
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Highly Cited
1992
Highly Cited
1992
Forward Models: Supervised Learning with a Distal Teacher
Internal models of the environment have an important role to play in adaptive systems in general and are of particular importance… (More)
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Highly Cited
1990
Highly Cited
1990
Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks
-We give conditions ensuring that multilayer jeedJorward networks with as Jew as a single hidden layer and an appropriately… (More)
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Highly Cited
1982
Highly Cited
1982
THE JACOBIAN CONJECTURE : REDUCTION OF DEGREE AND FORMAL EXPANSION OF THE INVERSE BY
Introduction I. The Jacobian Conjecture 1. Statement of the Jacobian Problem; first observations 2. Some history of the Jacobian… (More)
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