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Showing 1 to 20 of 177 for “"Jacobian"”.
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Rees algebras and iterated Jacobian duals
… also introduce a new method, namely "iterated'' Jacobian duals, to study the graph of Ψ. This is a generalization of the usual Jacobian duals which are often used to describe the graph of Ψ.</p>
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An augmented Jacobian matrix algorithm for tracking homotopy zero curves
… the zero set of this homotopy map. The augmented Jacobian matrix algorithm is part of the software package HOMPACK, and is based on an algorithm developed by W.C. Rheinboldt. The algorithm exists in two forms-one for dense Jacobian matrices, and the other for sparse Jacobian matrices.
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FIR filter design using Jacobian elliptic Sn function with wavelet applications.
… method of digital FIR filter design based on the Jacobian elliptic sine function. In addition to a general design, a special result is obtained for Quadrature Mirror Filters (QMF) for use in multi-resolution filter banks. These are called Quasi-Dyadic FIR filters. Most of the Quasi-Dyadic filter …
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Coordinated Jacobian transpose control and its application to a climbing machine
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1994.
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Computing the Cassels-Tate Pairing for Jacobian Varieties of Genus Two Curves
Let J be the Jacobian variety of a genus two curve defined over a number field K. The main focus of this thesis is on computing the Cassels-Tate pairing on the 2-Selmer group of J. We start by studying the Cassels-Tate pairing when J admits a Richelot isogeny φ : J → J. Suppose all points in J[2] …
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Jacobian-based control of soft robots for manipulation using implicit surface models
… We then demonstrate a simple quasi-static Jacobian controller which solves a second-order cone program to achieve the task of in-hand object repositioning.
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Computing canonical heights on Jacobians
… the explicit computation of canonical heights on Jacobians of smooth projective curves. Building on an existing algorithm due to Flynn and Smart with modifications by Stoll we generalize efficient methods for the computation of canonical heights on elliptic curves to the case of Jacobian surfaces. …
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Parallel homotopy curve tracking on a hypercube
… kernel of the full rank n x (n + 1) Jacobian matrix Dρ<sub>α</sub>(λ,x). Hence, tracking a zero curve of a homotopy map involves evaluating the Jacobian matrix and finding the one-dimensional kernel of the n x (n + 1) Jacobian matrix with rank n. Since accuracy is important, an …
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Innovative Methods for Solving Multicomponent Biogeochemical Groundwater Transport on Supercomputers
To evaluate the performance of the Jacobian-Free Newton-Krylov method, PARTRAN was used to simulate enhanced in situ bioremediation of subsurface NAPL (non-aqueous phase liquid) contamination on the ASCI Q supercomputer at Los Alamos National Laboratory, on which a study of parallel …
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Control visual basado en características de un sistema articulado. Estimación del jacobiano de la imagen utilizando múltiples vistas
… específicamente en la estimación en línea del jacobiano de la imagen. Se proponen nuevos algoritmos de estimación del jacobiano de la imagen usando técnicas no iterativas. Estos nuevos algoritmos se basan en la deinición de un factor de fiabilidad que depende de los movimientos ya realizados en …
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Function Field Arithmetic and Related Algorithms
… on developing an explicit arithmetic for the Jacobian of certain cubic superelliptic curves. We restrict our attention to curves of the form y3 = f( x). Assuming that f(x) is monic with no repeated roots and that our field does not have characteristic 3, we are able to show that the Jacobian …
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Optimization and validation of discontinuous Galerkin Code for the 3D Navier-Stokes equations
From residual and Jacobian assembly to the linear solve, the components of a high-order, Discontinuous Galerkin Finite Element Method (DGFEM) for the Navier-Stokes equations in 3D are presented. Emphasis is given to residual and Jacobian assembly, since these are rarely discussed in the literature; …
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Comparison of and Improvements to Degree Zero Divisor Class Group Arithmetic in Algebraic Function Fields
This thesis develops improved algorithms for Jacobian arithmetic in global function fields and compares the improvements to previous works. We present two independent improvements to Jacobian arithmetic based on the unique representation described in [13]. The first improvement requires the …
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Preconditioned sequential and parallel conjugate gradient algorithms for homotopy curve tracking
… and has separate routines for dense and sparse Jacobian matrices. The HOMPACK algorithms for sparse Jacobian matrices use a preconditioned conjugate gradient algorithm for the computation of the kernel of the homotopy Jacobian matrix, a required linear algebra step for homotopy curve tracking. …
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Triple Scissor Extender : A 6-DOF lifting and positioning robot for autonomous aircraft manufacturing
… modeling and analysis of the the Inverse Jacobian relating actuator velocities to the end-effector velocities. The Inverse Jacobian eigenvalues are determined for diverse configurations in order to characterize the kinematic properties. The sensitivity of the Inverse Jacobian Eigenvalues …
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Location of stable and unstable equilibrium configurations using a model trust region quasi-Newton method and tunnelling
… turning points and exploiting sparsity of the Jacobian matrix at the same time. A quasi-Newton method in conjunction with a deflation technique is proposed here as an alternative to the hybrid method. The proposed method not only exploits sparsity and symmetry, but also represents an …
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Rational families of vector bundles on curves
… quotient of such a component is either the Jacobian J(C) or a direct sum of two copies of the Jacobian. We show that moduli spaces of rational curves on M are in one-to-one correspondence with moduli of rank 2 vector bundles on the surface P[set]1 x C.
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