Effective condition number and its applications
نویسندگان
چکیده
منابع مشابه
The condition number of certain matrices and applications
This paper addresses the problem of estimating the eigenvalues and condition numbers of matrices of the form R = r(ti tj). We begin by mentioning some of the problems in which such matrices occur, and to which the results obtained in this paper may be applied. Examples of such problems include (i) approximation by sums of irregular translates (ii) the missing data problem and incomplete samplin...
متن کاملEffective condition number for numerical partial differential equations
For solving the linear algebraic equation Ax = b resulting from the numerical partial differential equations, the traditional conditions number is defined by Cond(A) = σ1 σn , where σ1 and σn are the maximal and minimal singular values of matrix A respectively. The condition number is used to provide the bounds of the relative errors from the perturbation of both A and b. Such a Cond can only b...
متن کاملBenford Distribution and its Applications
This papers considers the Benford distribution as one the interesting rules of probability theory. This rule shows that, despite of usual underestanding about the uniform distribution of digites for lieing on different positions in numbers, digits are distributed according to an non uniform distributions for numbers araising from many natural phonemena. Benford distribution proposes ...
متن کاملCondition number of Bott-Duffin inverse and their condition numbers
Various normwise relative condition numbers that measure the sensitivity of Bott– Duffin inverse and the solution of constrained linear systems are characterized. The sensitivity of condition number itself is then investigated. Finally, upper bounds are derived for the sensitivity of componentwise condition numbers. 2002 Elsevier Science Inc. All rights reserved.
متن کاملThe Fundamental Operation on Connection Number and Its Applications
In this paper, we introduced the basic knowledge of set pair analysis at the first place. Then we defined the general form of basic operations and the properties of connection number, in the end we give the corresponding application examples. The concepts and methods of the operations are the basis points of this paper. The ccomposition operation that put forward in this article makes the resul...
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: Computing
سال: 2010
ISSN: 0010-485X,1436-5057
DOI: 10.1007/s00607-010-0098-8