ii internal and external parameters is carried out with animated images to demonstrate the capabilities of the approach for this type of application. The iterative application of a linear estimator requires the computation of the Jacobian of the measurement function. The complexity of the measurement function forces a numerical approach. The numerical approach has the advantage that the element...

In this work, we propose a multigrid preconditioner for Jacobian-free Newton-Krylov (JFNK) methods. Our method does not require knowledge of the Jacobian at any level hierarchy. As it is common in standard methods, proposed also relies on three building blocks: transfer operators, smoothers, and coarse solver. addition to restriction prolongation operator, use projection operator current Newton...

In this brief note we study how the fractional mean curvature of order s ∈ (0, 1) varies with respect to C diffeomorphisms. We prove that, if α > s, then the variation under a C diffeomorphism Ψ of the s-mean curvature of a set E is controlled by the C norm of the Jacobian of Ψ. When α = 1 we discuss the stability of these estimates as s → 1− and comment on the consistency of our result with th...

This article extends relations of Mumford’s UV W -expressions to those in subvariety in a hyperelliptic Jacobian using Baker’s method.

Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cyclic, then the embedding degree of the Jacobian with respect to l is one.

The aim here is to continue the investigation in [1] of Jacobians of a Klein surface and also to correct an error in [1].

We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties Af attached by Shimura to normalized newforms f ∈ S2(Γ0(N)). We present all the curves corresponding to principally polarized surfaces Af for N ≤ 500.

We construct the Nahm transform for Higgs bundles over a Riemann surface of genus at least 2 as hyperholomorphic connections on the total space of the tangent bundle of its dual Jacobian. 2000 MSC: 53C07, 53C26