Convergence rates

In this paper, we present a new improvement of the third-order Newton-Krylov method with a quaternary convergence rate and prove the convergence of the iterative formula. In addition, the paper also presents an experimental result to demonstrate the convergence speed of the method.

9p viprimi 16-12-2024 1 0   Download

Bài giảng "Tối ưu hóa nâng cao - Chương 9: Stochastic gradient descent" cung cấp cho người học các kiến thức: Proximal gradient descent, stochastic gradient descent, convergence rates, early stopping, mini-batches. Mời các bạn cùng tham khảo.

24p abcxyz123_08 11-04-2020 51 3   Download

Cloning and over-expression of human glucose 6-phosphate dehydrogenase (Glc6P dehydrogenase) has for the first time allowed a detailed kinetic study of a preparation that is genetically homogeneous and in which all the protein molecules are of identical age. The steady-state kinetics of the recombinant enzyme, studied by fluorimetric initial-rate measurements, gave converging linear Lineweaver–Burk plots as expected for a ternary-complex mechanism.

8p research12 01-06-2013 64 4   Download

We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere. 1. Introduction 1.1. In 1916, D. E. Menshov constructed an example of a nontrivial trigonometric series on the circle T ∞ (1) n=−∞ c(n)eint which converges to zero almost everywhere (a.e.). Such series are called nullseries. This result was the origin of the modern theory of uniqueness in Fourier analysis, see [Z59], [B64], [KL87], [KS94]. Clearly for such a series |c(n)|2 = ∞.

33p noel_noel 17-01-2013 39 6   Download

MONOTONE FINITE DIFFERENCE DOMAIN DECOMPOSITION ALGORITHMS AND APPLICATIONS TO NONLINEAR SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS IGOR BOGLAEV AND MATTHEW HARDY Received 16 September 2004; Revised 21 December 2004; Accepted 11 January 2005 This paper deals with monotone finite difference iterative algorithms for solving nonlinear singularly perturbed reaction-diffusion problems of elliptic and parabolic types. Monotone domain decomposition algorithms based on a Schwarz alternating method and on box-domain decomposition are constructed.

38p sting12 10-03-2012 52 6   Download

RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER ˇ ´ ´ S. KALABUSIC AND M. R. S. KULENOVIC Received 13 August 2003 and in revised form 7 October 2003 We investigate the rate of convergence of solutions of some special cases of the equation xn+1 = (α + βxn + γxn−1 )/(A + Bxn + Cxn−1 ), n = 0,1,..., with positive parameters and nonnegative initial conditions. We give precise results about the rate of convergence of the solutions that converge to the equilibrium or period-two solution by using Poincar´ ’s e theorem and an improvement of Perron’s...

19p sting12 10-03-2012 56 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Convergence in the Calculation of the Handoff Arrival Rate: A Log-Time Iterative Algorithm

11p dauphong18 09-03-2012 42 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval

33p dauphong11 04-02-2012 51 6   Download

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học Minireview cung cấp cho các bạn kiến thức về ngành y đề tài: Comparative genomics reveals a constant rate of origination and convergent acquisition of functional retrogenes in Drosophila...

9p thulanh20 10-11-2011 31 2   Download

Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: Rate of convergence of the short cycle distribution in random regular graphs generated by pegging...

19p thulanh8 17-09-2011 54 3   Download

Summary and Introduction Broadband wireless communications have gained an increased interest during the last few years. This has been fuelled by a large demand on high frequency utilisation as well as a large number of users requiring simultaneous high data rate access for the applications of wireless mobile Internet and e-commerce.

9p doroxon 18-08-2010 88 7   Download

Stability Issues in RNN Architectures Perspective The focus of this chapter is on stability and convergence of relaxation realised through NARMA recurrent neural networks. Unlike other commonly used approaches, which mostly exploit Lyapunov stability theory, the main mathematical tool employed in this analysis is the contraction mapping theorem (CMT), together with the fixed point iteration (FPI) technique. This enables derivation of the asymptotic stability (AS) and global asymptotic stability (GAS) criteria for neural relaxive systems.

19p doroxon 12-08-2010 105 9   Download