Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 13 April 2020Accepted: 03 May 2021Published online: 23 September 2021Keywordssymmetric eigenvalue problem, Krylov subspace method, Lanczos methodAMS Subject Headings15A18, 65F15, 65F50Publication DataISSN (print): 0895-4798ISSN (online): 1095-7162Publisher: Society for In...

Consider a sequence {xn}n—Q in a normed space X converging to some x* £ X. It is shown that the sequence satisfies a condition of the type ||x* -x„|| < oi||xn xn_¡\\ for some constant a and every n > 1, if the associated null sequence {e„}„=q, en = x* — xn, is uniformly decreasing in norm or if it is alternating with respect to any ordering whose cone of positive elements is acute.

This paper presents a posteriori error estimates for the hp{version of the boundary element method. We discuss two rst kind integral operator equations , namely Symm's integral equation and the integral equation with a hypersingular operator. The computable upper error bounds indicate an algorithm for the automatic hp{adaptive mesh{reenement. The eeciency of this method is shown by numerical ex...

— This paper présents abstract error estimâtes for mixed methods for the approximate solution of elliptic boundary value problems. These estimâtes are then applied to obtain quasi-optimal error estimâtes in the usual Sobolev norms for four examples: three mixed methods for the biharmonic problem and a mixed method for second order elliptic problems. Resumé. Dans cet article, on présente des est...

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We extend some previous results of our work [1] on the error of the averaging method, in the one-frequency case. The new error estimates apply to any separating family of seminorms on the space of the actions; they generalize our previous estimates in terms of the Euclidean norm. For example, one can use the new approach to get separate error estimates for each action coordinate. An application...

Appropriate error estimation for regularization methods in imaging and inverse problems is of enormous importance for controlling approximation properties and understanding types of solutions that are particularly favoured. In the case of linear problems, i.e., variational methods with quadratic fidelity and quadratic regularization, the error estimation is well-understood under so-called sourc...

When studying a prevalent outcome, it is often of interest to estimate the prevalence ratio instead of the odds ratio. In SAS one can use PROC GENMOD with the binomial distribution and the log link function. Unlike the logistic model, the log-binomial model places restrictions on the parameter space, and the maximum likelihood estimate (MLE) might occur on the boundary of the parameter space, i...

in the early stages of a construction project, the reliability and accuracy of conceptual cost estimates are major concerns for clients and cost engineers. previous studies applied scoring methods and established common rules or mathematical methods to assess the quality of cost estimates. however, those approaches have some limitations in adapting to real-world projects or require understandin...