Asymptotic Mesh Independence of Newton's Method Revisited
نویسندگان
چکیده
منابع مشابه
Asymptotic Mesh Independence of Newton's Method Revisited
The paper presents a new affine invariant theory on asymptotic mesh independence of Newton’s method for discretized nonlinear operator equations. Compared to earlier attempts, the new approach is both much simpler and more intuitive from the algorithmic point of view. The theory is exemplified at collocation methods for ODE boundary value problems and at finite element methods for elliptic PDE ...
متن کاملComparing preference orders: Asymptotic independence
A decision maker is presented with two preference orders over n objects and chooses the one which is “closer” to his own preference order. We consider several plausible comparison rules that the decision maker might employ. We show that when n is large and the pair of orders to be compared randomly realizes, different comparison rules lead to statistically almost independent choices. Thus, two ...
متن کاملAggregation of Risks and Asymptotic Independence
We study the tail behavior of the distribution of the sum of asymptotically independent risks whose marginal distributions belong to the maximal domain of attraction of the Gumbel distribution. We impose conditions on the distribution of the risks (X, Y ) such that P (X + Y > x) ∼ (const)P (X > x). With the further assumption of non-negativity of the risks, the result is extended to more than t...
متن کاملPersegrams of Compositional Models Revisited: conditional independence
The paper gives instructions how to read conditional independence relations for multidimensional probability distributions represented in a form of a compositional model.
متن کاملStrong asymptotic independence on Wiener chaos
Let Fn = (F1,n, ...., Fd,n), n > 1, be a sequence of random vectors such that, for every j = 1, ..., d, the random variable Fj,n belongs to a fixed Wiener chaos of a Gaussian field. We show that, as n → ∞, the components of Fn are asymptotically independent if and only if Cov(F 2 i,n, F 2 j,n) → 0 for every i 6= j. Our findings are based on a novel inequality for vectors of multiple Wiener-Itô ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2005
ISSN: 0036-1429,1095-7170
DOI: 10.1137/s0036142903434047