superlinear造句
例句與造句
- Using the comparison principle , it is proved that the proposed method is of superlinear convergence
利用比較原理，間接證明該算法是一種具有超線性收斂性的近似牛頓法。 - A necessary and sufficient condidtion for existence of positive solutions to singular superlinear boundary value problems at nonresonance
非共振奇異超線性邊值問(wèn)題正解存在的充分必要條件 - Computation for topological degree and applications to singular superlinear boundary value problems of fourth - order differential equations
拓?fù)涠鹊挠?jì)算及其對(duì)超線性奇異四階微分方程的應(yīng)用 - Inspired by g . h . pimbley ' s paper [ 1 ] , we use the technique of the phase plane to approach the global structure of the superlinear problem bvp ( 1 . 1 ) . the main results obtained is the following
本文受文[ 1 ]的啟發(fā),應(yīng)用相平面的方法研究了超線性bvp ( 1 . 1 ) .本文的主要結(jié)果如下 - In [ 4 , 5 ] , the authors used the krasnoselski ' s fixed point theorem in cones to establish the existence of multiple positive solutions when f is superlinear or sublinear
在文[ 4 ， 5 ]中，作者應(yīng)用krasnoselski ' s錐不動(dòng)點(diǎn)定理證明了當(dāng)f超線性或次線性時(shí)多個(gè)正解的存在性 - It's difficult to find superlinear in a sentence. 用superlinear造句挺難的
- Furthermore , the global and superlinear convergence of the shamanskii modification of the newton method with the new line search are proved under the weaker conditions than those in ref [ 10 ] ( i . e . ,
在本章中，我什1將邪a ？ nans汕6修正牛頓法的迭代形式作了進(jìn)一步的改進(jìn)，改進(jìn)后的sha 。 a 。 - In this paper , a new method of computation of topological degree is given with the theory of cones and applied to the singular superlinear boundary value problems of fourth - order differential equations
摘要利用錐理論給出了新的拓?fù)涠扔?jì)算方法，并應(yīng)用于超線性奇異四階微分方程邊值問(wèn)題。 - Lc1 unconstrained optimization problem was discussed in the second chapter , giving a new trust region method and proving its global convergence and superlinear convergence under some mild conditions
給出了一個(gè)新的信賴(lài)域算法，并在一定的條件下證明了算法的全局收斂性和局部超線性收斂性。 - Consequently , the convergence rate of the proposed method is superlinear . to speed up the method , we combine the structured mbfgs method with gauss - newton method to propose a hybrid method
為了加快算法的收斂速度，我們結(jié)合guass - newton法和結(jié)構(gòu)化mbfgs法提出一種雜交方法，證明了這個(gè)雜交方法的全局收斂性。 - We then develop a bfgs method for solving the nonsmooth equation . the method possess some descent property . under mild conditions , we establish the global and superlinear convergence of the proposed method
在此基礎(chǔ)上，我們提出一種單調(diào)下降的線性搜索，進(jìn)而提出求解該非光滑方程組的具有單調(diào)下降性的bfgs算法。 - The general shamanskii modification of the newton method is defined by the iteration and the global and superlinear convergence of the general shamanskii modification of the newton method are proved in this dissertation
我們不僅證明了改進(jìn)的sha一mansk燈修正牛頓法的全局收斂性，而且也證明該方法具有超線性收斂速度 - Under appropriate conditions , we obtain the global and superlinear / qudratic convergence of the method . the reported numerical results show that the proposed method performs well for the test problems
數(shù)值計(jì)算結(jié)果表明，我們的算法對(duì)普通非線性方程組有良好效果，但優(yōu)勢(shì)在求解病態(tài)方程組時(shí)表現(xiàn)得更為明顯，是解非線性方程組一種行之有效的方法。 - In chapter 2 . we give a class of new algorithms for nonlinear programming problems with linear constrained by combining the gradient projection method with non - quasi - newton method which was given in paper [ 2 ] . it ' s global convergence and the superlinear convergence are proved under suitable conditions
在第二章中我們將梯度投影與文[ 2 ]中的非擬牛頓法相結(jié)合，給出了求解線性約束非線性優(yōu)化問(wèn)題的一類(lèi)梯度投影非擬牛頓算法。 - In chapter 3 , we give a class of new algorithms with inexact search for nonlinear programming problems with linear constrained by combining the generalized projection method with non - quasi - newton method . it ' s global convergence and the superlinear convergence are proved under suitable conditions
新算法推廣了文[ 1 ， 2 ]中的結(jié)果。在第三章中我們將廣義投影算法與非擬牛頓法相結(jié)合，給出了求解線性約束非線性優(yōu)化問(wèn)題的一類(lèi)廣義投影非擬牛頓算法。 - 3 . as for the existence of positive solutions , the cone theory and the fixed point index of condensing mapping are employed , and the results of the existence of positive solutions are obtained in the case of superlinear and sublinear . the conclusions extend and improve the existence theorem which lou ben - dong extablished in 1996 about the question of sturm - liouville of banach spaces
三、對(duì)于正解存在性問(wèn)題，我們應(yīng)用凝聚映射的不動(dòng)點(diǎn)指數(shù)理論，分別在超線性與次線性情形下進(jìn)行討論，獲得了一些正解存在的結(jié)果，主要結(jié)果推廣和改進(jìn)了1996年louben - dong對(duì)banach空間sturm - liouville問(wèn)題所建立的存在性定理。