搜索结果: 1-15 共查到“函数论 Approximation”相关记录28条 . 查询时间(0.222 秒)
Pole-Based Approximation of the Fermi-Dirac Function
Contour integral Fermi-Dirac function Rational approximation
2015/7/14
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
Existence and approximation of probability measure solutions to models of collective behaviors
Existence approximation of probability measure models of collective behaviors
2011/1/20
In this paper we consider first order differential models of collective behaviors of groups
of agents based on the mass conservation equation. Models are formulated taking the spatial
distribution o...
Improved Approximation for the Directed Spanner Problem
Approximation Directed Spanner Problem
2011/3/3
We prove that the size of the sparsest directed k-spanner of a graph can be approximated in polynomial time to within a factor of ˜O(√n), for all k ≥ 3. This improves the ˜O(n2/3)-
approxim...
Best $\ell_1$-approximation of nonnegative polynomials by sums of squares
Polynomials sums of squares semidefinite programming
2011/2/21
Given a nonnegative polynomial f, we provide an explicit expres-sion for its best ℓ1-norm approximation by a sum of squares of given degree.
On approximation of functions satisfying defective renewal equations
defective renewal equation Laplace transform
2011/2/22
Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don’t admit a explicit expression. In this work we consider to approximate them ...
Low-Rank Matrix Approximation with Weights or Missing Data is NP-hard
low-rank matrix approximation weighted low-rank approximation missing data
2011/1/17
Weighted low-rank approximation (WLRA), a dimensionality reduction technique for data anal-
ysis, has been successfully used in several applications, such as in collaborative filtering to design reco...
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
Convergence of frozen Gaussian approximation for high frequency wave propagation
Convergence of frozen Gaussian high frequency wave propagation
2011/2/25
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, fo...
Approximation of functions and their derivatives by analytic maps on certain Banach spaces
Approximation of functions derivatives analytic maps
2010/11/24
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let $f:X \rightarrow R$ be bounded, Lipschitz, and $C^1$ with uniformly continuous d...
Uniform approximation of the integrated density of states for long-range percolation Hamiltonians
the integrated density of states long-range percolation Hamiltonians
2010/11/23
In this paper we study the spectrum of long-range percolation graphs. The underlying geometry is given in terms of a finitely generated amenable group. We prove that the integrated density of states (...
Average best $m$-term approximation
nonlinear approximation best m-term approximation average widths
2010/12/1
We introduce the concept of average best m-term approximation widths with respect to a probability measure on the unit ball of ℓnp .
On the power of function values for the approximation problem in various settings
function values the approximation problem various settings
2010/11/22
This is an expository paper on approximating functions from general Hilbert or Banach spaces in the worst case, average case and randomized settings with error measured in the $L_p$ sense. We define ...
Convex Multivariate Approximation by Algebras of Continuous Functions
Convex Multivariate Approximation Algebras Continuous Functions
2010/11/22
We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.
On the Stability and the Approximation of Branching Distribution Flows, with Applications to Nonlinear Multiple Target Filtering
Measure-valued equations nonlinear multi-target filtering Bernoulli filter
2010/12/3
We analyse the exponential stability properties of a class of measure-valued equations arising in nonlinear multi-target filtering problems. We also prove the uniform convergence properties w.r.t. the...