Error Analysis of Absolute Rate Coefficient Extrapolated Under Pseudo-First Order Conditions
نویسندگان
چکیده
منابع مشابه
First-Order and Second-Order Conditions for Error Bounds
For a lower semicontinuous function f on a Banach space X, we study the existence of a positive scalar μ such that the distance function dS associated with the solution set S of f(x) ≤ 0 satisfies dS(x) ≤ μmax{f(x), 0} for each point x in a neighborhood of some point x0 in X with f(x) < for some 0 < ≤ +∞. We give several sufficient conditions for this in terms of an abstract subdifferential and...
متن کاملCoefficient Conditions for Starlikeness of Nonnegative Order
and Applied Analysis 3 Theorem 1.3 see 12 . Let c2k c2k 1 μ k/k!, μ ∈ 0, 1 . For any positive integer n and 0 < θ < π , then i ∑n k 0 ck cos kθ > 0 if and only if 0 < μ ≤ μ0, ii ∑2n 1 k 1 ck sin kθ > 0 if and only if 0 < μ ≤ μ0, iii ∑2n k 1 ck sin kθ > 0 if 0 < μ ≤ 1/2. Here μ0 0.691556 · · · is the unique root in 0, 1 of ∫3π/2 0 cos t t1−μ dt 0. 1.6 2. Main Results For our purpose, it will be ...
متن کاملError Rate and Power Allocation Analysis of Regenerative Networks under Generalized Fading Conditions
Cooperative communication has been shown to provide significant increase of transmission reliability and network capacity while expanding coverage in cellular networks. The present work is devoted to the investigation of the end-to-end performance and power allocation of a maximumratio-combining based regenerative multi-relay cooperative network over non-homogeneous scattering environment, whic...
متن کامل\(\ell_{1, p}\)-Norm Regularization: Error Bounds and Convergence Rate Analysis of First-Order Methods
In recent years, the `1,p-regularizer has been widely used to induce structured sparsity in the solutions to various optimization problems. Currently, such `1,p-regularized problems are typically solved by first-order methods. Motivated by the desire to analyze the convergence rates of these methods, we show that for a large class of `1,p-regularized problems, an error bound condition is satisf...
متن کامل`1,p-Norm Regularization: Error Bounds and Convergence Rate Analysis of First-Order Methods
In recent years, the `1,p-regularizer has been widely used to induce structured sparsity in the solutions to various optimization problems. Currently, such `1,p-regularized problems are typically solved by first-order methods. Motivated by the desire to analyze the convergence rates of these methods, we show that for a large class of `1,p-regularized problems, an error bound condition is satisf...
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: Journal of the Turkish Chemical Society, Section A: Chemistry
سال: 2017
ISSN: 2149-0120
DOI: 10.18596/jotcsa.333857