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Strong Convergence of a New Three Step Iterative Scheme in Banach Spaces
Fixed Point Various Iterative Schemes Rate of Convergence
2013/1/30
In this paper, we suggest a new type of three step iterative scheme called the CR iterative scheme and study the strong convergence of this iterative scheme for a certain class of quasi-contractive op...
Nonoverlapping Domain Decomposition Methods with Simplified Coarse Spaces for Solving Three-dimensional Elliptic Problems
domain decomposition coarse subspace substructuring preconditioner inexact solver condition number
2012/8/8
In this paper we propose a substructuring preconditioner for solving three-dimensional
elliptic equations with strongly discontinuous coe±cients. The new preconditioner
can be viewed as a variant of...
Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
Hardy space Numerical Integration Cubature formulas Error estimate
2012/4/23
The present paper has a twofold contribution: first, we introduce a new concept of Hardy spaces on a multidimensional complexified annular domain which is closely related to the annulus of the Klein-D...
Finding saddle points of mountain pass type with quadratic models on affine spaces
Mountain pass algorithm conjugate gradient convergence Krylov subspace indefinite matrix
2011/9/16
Abstract: The problem of computing saddle points is important in certain problems in numerical partial differential equations and computational chemistry, and is often solved numerically by a minimiza...
Chebyshev Blossom in Muntz Spaces: Toward Shaping with Young Diagrams
Extended Chebyshev systems Chebyshev blossom Computer aided design Chebyshev-Bernstein basis Schur functions Young diagrams
2011/9/5
Abstract: The notion of blossom in extended Chebyshev spaces offers adequate generalizations and extra-utilities to the tools for free-form design schemes. Unfortunately, such advantages are often ove...
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces
Bochner-Riesz operators weighted Herz-type Hardy spaces Ap weights atomic decomposition
2010/12/15
In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces H ˙K ,p q (w1,w2)(HK ,p
q (w1,w2)), we obtain s...
A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATIONFOR SOLVING A PARABOLIC INVERSE PROBLEM
Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence
2007/12/12
A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving
operator equations is presented and the convergence of a sequence
generated by QNIS is also proved in the paper. Next, we sugg...
We analyze the classical penalty algorithm for nonlinear programming in Hilbert spaces and obtain global convergence results, as well as asymptotic superlinear convergence order. These convergence res...
Convergence of cascade algorithms in Sobolev spaces associated with multiviate refinement equations
2007/7/28
专著信息
书名
Convergence of cascade algorithms in Sobolev spaces associated with multiviate refinement equations
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Journal of mathematical analysis and applications,257,154-169,2...
On Some Properties of Szasz-Mirakyan Operators in Hölder Spaces
Szasz-Mirakyan operator Hö lder space modulus of smoothness degree of approximation
2010/3/1
We study some properties of modified Szasz-Mirakyan operators in Hölder exponential weighted spaces. We give theorems on the degree of approximation of functions by these operators.