introduction: the aim of this study was to evaluate the effect of proximal contour of class ii composite restorations placed with straight or contoured matrix band using composite resins with different modulus of elasticity on stress distribution by finite element method. methods: in order to evaluate the stress distribution of class ii composite restorations using finite element method, upper ...

1. The number of zeroes of a polynomial over a finite field 1 2. Interpretation in terms of zeta functions 3 2.1. Eigenvalues in the smooth case 4 2.2. Some easy examples 5 3. The Newton polygon 7 3.1. Newton polygons in families 8 4. Abstract Hodge polygons and Newton polygons 9 5. Results of Deligne, Katz, Mazur and Ogus 10 6. Some special cases 11 6.1. Abelian varieties 11 6.2. Curves 12 Ref...

It has long been known that variational inequality problems can be reformulated as nonsmooth equations. Recently, locally high-order convergent nonsmooth Newton methods for nonsmooth equations have been well established via the concept of semismoothness. In this paper, we focus our discussions on a way of globalizing nonsmooth Newton methods based on a smoothing-nonsmooth reformulation of nonsm...

We prove that under semi-local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q-linearly to a zero of the non-linear operator under consideration. Using this result we show that Newton method for minimizing a self-concordant function or to find a zero of an analytic function can be implemented with a fixed relative residual error tolerance. In th...

We generalize purity of the Newton stratification to purity for a single break point of the Newton point in the context of local G-shtukas respectively of elements of the loop group of a reductive group. As an application we prove that elements of the loop group bounded by a given dominant coweight satisfy a generalization of Grothendieck’s conjecture on deformations of p-divisible groups with ...

Address: 1Department of Anatomy & Cell Biology College of Medicine, University of Iowa, 1-111 BSB, 51 Newton Road, Iowa City, IA 52242, USA, 2Department of Internal Medicine College of Medicine, University of Iowa, 1-111 BSB, 51 Newton Road, Iowa City, IA 52242, USA and 3The Center for Gene Therapy of Cystic Fibrosis and Other Genetic Diseases, College of Medicine, University of Iowa, 1-111 BSB...

We study local convergence of generalized Newton methods for both equations and inclusions by using known and new approximations and regularity properties at the solution. Including Kantorovich-type settings, our goal are statements about all (not only some) Newton sequences with appropriate initial points. Our basic tools are results of [31], [37] and [40], mainly about Newton maps and modifie...

A Hessian matrix in full waveform inversion (FWI) is difficult to compute directly because of high computational cost and an especially large memory requirement. Therefore, Newton-like methods are rarely feasible in realistic large-size FWI problems. We modify the quasi-Newton BFGS method to use a projected Hessian matrix that reduces both the computational cost and memory required, thereby mak...