章斂 的英文怎麼說
中文拼音 [zhāngliǎn]
章斂
英文
lian zhang-
This paper is made up of three chapter, which discuss mainly about the astringency of the iterative methods and the application in fact
本文共分三章,主要討論的是迭代法的收斂性及其在實際中的應用問題。It is proven that these modified dual algorithms still have the same convergence results as those of the conceptional dual algorithms in chapter 2 and chapter 3. secondly, a dual algorithm is constructed for general constrained nonlinear programming problems and the local convergence theorem is established accordingly. the condition number of modified lagrange function ' s hessian is estimated, which also depends on the penalty parameter
證明這些修正的對偶演算法仍具有同前兩章的概念性對偶演算法相同的收斂性結果,我們還進一步構造了一般約束非線性規劃問題的對偶演算法,建立了相應的局部收斂理論,最後估計了修正lagrange函數的hesse陣的條件數,它同樣依賴于罰參數。In chapter three, a back / forward sweeps based on branch loss for power flow is presents, which is credited with simple program, good numerical value stability, small ems memory and rapid calculation
第三章介紹了基於支路網損的配電網前推回推潮流演算法,該演算法編程簡單,數值穩定性好,佔用內存小,計算速度快,並且收斂性和收斂速度均優于牛頓法。In the second chapter, we used the two deformed newton which was discussed in the chapter 1 to solve the problem of finding the roots of nondifferentiable equations and established convergence theorems using majorant method
在第二章中,用第一章討論過的兩種牛頓迭代來解決不可導方程的求根問題。並且用優序列方法給出了收斂性定理。The third chapter discusses the convergence rates of na sequences in lil
第三章研究了na序列重對數律的收斂速度。Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來, bruck [ 5 ] , reich [ 6 ] , oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理,這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中,研究了揚州大學碩士學位論文2一般半群上的( r )類漸近非擴張型半群的弱遍歷收斂定理,即:定理3 . 1設x是具性質( f )的實自反banach空間, c是x的非空有界閉凸子集, g為含單位元的一般半群, s =仕工, 。In chapter 3, we give an equivalent form of semi - infinite programming, and a locally convergent ssle method is proposed for sip. we only need solve a linear system equations and a subproblem with a parameter per step, also a modified algorithm which saves cost of computations is given, at the end of the paper, we give a proof of the convergence for the algorithms
第三章通過適當的變形,得到半無限規劃問題的一個等價形式,並給出一個局部收斂的序列線性方程組演算法,這個演算法在每一步,只需求解一個線性方程組和一個帶參數的非線性子問題,證明了演算法的收斂性,同時,給出了一個修正演算法,與前面演算法相比較,修正演算法節約一定的計算量,同樣具有較好的收斂性。In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在聲波動理論基礎上,詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式;根據fredholm積分理論,對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明;改進了chief法以提高其克服解的非唯一性的有效性和可靠性;對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究;開發了三次樣條改進chief法計算軟體,並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。This paper gives the necessary and sufficient conditions for distribution independent uniform convergence for real valued functions
文章中充分的提到實函數之均勻收斂定理獨立分類的必要及充份條件。This paper discusses from the point of complete convergence the convergence of random sequences which include both i. i. d. and dependent case, such as na sequences and - mixing sequences
這篇文章主要從完全收斂性的角度研究隨機變量序列的收斂性,不僅包括獨立同分佈的隨機變量序列,還包括不獨立的情況,例如na序列和-混合序列。In the final part we concern with the convergence rates of ergodic limits and approximation for k - regularized resolvent families for a linear volterra integral equation. we give the ergodicty for k - regularized resolvent operator families at 0 and we also prove their basic properties by means of k - functional and relative completion. finally, we obtain some results of the convergence rates of ergodic limits and approximation for k - regularized resolvent families
第四章我們主要研究了k -正則預解運算元族的遍歷極限的收斂率和逼近。藉助于k -泛函和相對完備化,給出了k -正則預解運算元族在0點的遍歷性,證明了一些基本性質。我們也證明了k -正則預解運算元族的遍歷極限的收斂率和逼近的一些結果。To solve the tradeoff between congverence and computational complexity, befap is proposed in chapter 3, which is based on block - exact processing and affine projection algorithm. chapter 4 offers hardware and software implementation of the acoustic echo canceller based on tms320vc5409 dsp, which can be applied to a terminal of the tele - conference or video - conference
為了在收斂速度和運算量之間得到很好的折中,第三章提出了一種基於仿射投影演算法和精確塊技術的快速的自適應演算法( befap演算法) ,並對該演算法作了詳細的分析和研究。In chapter five, as one of the applications of boundary layer theory on two - phase fluid pump, the calculation process and example analysis in vane design are given and the stability and convergence of algorithms and programs and rules showed in calculation are required
第五章作為固液兩相流泵的邊界層理論的應用之一,本章給出了它在葉輪設計中應用的計算過程及實例分析。通過實例分析及數值計算,本章得出關于演算法和程序的穩定、收斂性結論以及速度系數在計算中所表現出的規律性。Conditions that a class of sequence has convergent subsequence arc discussed in the paper, this sequence is important in function approximation. the gained conclusions are useful in some relative areas
摘要文章討論了在函數逼近論中有重要作用的一類序列存在收斂子列的條件,文中所得結論在相關問題的研究中有較重要的作用。Chapter 5 is contributed to studying convergence rate of standard transition function and relation of all kinds of convergence rates. by revealing the close link among strong ergodicity, stochastically monotone, and the feller transition functions we are able to prove that a monotone ergodic transition function is strongly ergodic if and only if it is not a feller transition function
第五章討論標準轉移函數的收斂速度以及各種收斂速度之間的關系,通過找出強遍歷、隨機單調性和feller轉移函數之間的緊密關系,我們證明了隨機單調標準轉移函數是強遍歷的充要條件是它不是feller轉移函數。The main theories of regional difference variation were cited, such as : the theory of divergence, the theory of convergence, the theory of inverted " u ", the theory of new growth, the theory of cyclical fluctuation. the divergent tendency of the regional economic difference in hunan from the enforcement of the policy of reform and opening and the convergent characteristics of the difference between some central cities and its peripheral regions in hunan were analyzed in this thesis
文章評述了地區差異變動的主要理論:地區經濟差異發散論、地區經濟差異收斂論、倒「 u 」形理論、新增長理論、周期波動論等,分析了湖南省改革開放以來各市州經濟差異的發散特徵、部分中心緘市與周邊縣市差異的收斂特徵及當前湖南省區域經濟差異變動情況與倒「 u 」形理論、周期波動論的相符之處。In chapter 1, we use the p1 nonconforing mortar element to discrete poisson equation, and adopt multigrid method to solve the discrete equations, we have proven that the algorithm has a uniform convergence rate, that is, the convergence rate is independent of the mesh size and level. the multigrid method for the stationary stokes equations based on mortar mixed element method is presented in chapter 2, and the uniform convergence rate of the method independent of mesh size and level for the w - cycle is proven
第二章求解的問題是定常stokes方程,用混合mortar元來離散原方程,每個子區域上用taylor - hood有限元進行離散,離散出的方程組用w -循環多重網格方法進行求解,第四節中證明了多重網格方法的一致收斂性,即收斂率與網格層數和網格尺寸無關。In chapter three, we consider the finite volume element mstheods for nonlinear hyperbolic problems on the basic of the chapter three, optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are also demonstrated
在第二章的基礎上也得到了h ~ 1 , l _ 2和w ~ ( 1 , )誤差估計以及l _最優誤差估計和近似解和真解的廣義橢圓投影間的超收斂估計。In chapter two, we consider the finite volume element methods for nonlinear parabolic problems optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are demonstrated. moreover superconvergence in the error between the approximate solution and the generalized elliptic projection of the exact solution is also shown
第二章考慮非線性拋物方程的初值問題的體積有限元法,並證明了h ~ 1 , l _ 2和w ~ ( 1 , )誤差估計以及l _最優誤差估計,而且還得到了近似解和真解的廣義橢圓投影間的超收斂估計。In the first chapter, we narrate the characteristic of convertible bond, give some clues about development and actuality of the market and its pricing theory ; in the second chapter, we introduce modeling idea and some material problems in the model in detail, draw the yield curve which is very important to the model by spline method ; in the third chapter, we first explain the basic idea and convergent speed of monte carlo method, then, give the mathematical description for financial market, prove equivalence of non - arbitrage market, existence of risk neutral probability measure in the market and the price process of underlying asset is a martingale ; in the forth section, we introduce how to simulate stock price path by monte carlo method in detail, based on foregoing result, we prove the path is a martingale, thereby, the model is logical
本文第一章先對可轉債的特點、市場發展和現狀及其定價理論的發展和現狀作一概述;第二章詳細介紹了建模思想和模型中的一些具體問題,利用spline方法繪出了在模型中具有重要作用的收益曲線;第三章首先敘述了montecarlo方法的基本思想和有關其收斂速度的一些性質,然後從數學的角度給出了對金融市場的描述,證明了市場無套利、市場存在風險中性概率測度及標的資產價格過程為鞅的等價性;在第四節中,對用montecarlo方法模擬的帶跳股價路徑作了詳細介紹,並利用前兩節的結論證明了模擬的帶跳股價路徑為一個鞅過程,從而保證了模型在理論上的合理性。分享友人