A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先給出了一種求n階置換因子循環(huán)矩陣的逆陣、自反g-逆黄色网站大全免费在线观看、群逆一级A片免费视频一区二区、Moore-Penrose逆的快速算法，然后給出了計(jì)算兩n階置換因子循環(huán)矩陣之乘積陣的一種快速算法国产性爱永久视频，最后給出了其反問(wèn)題的最小二乘解的存在性定理及它的一般表示日韩在线最新专区，并證明了逼近矩陣的存在唯一性且給出它的具體表達(dá)式。

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加權(quán)Moore-Penrose逆是一種特殊的廣義逆国内自拍无码在线播放，它不僅是許多數(shù)學(xué)分支的基本工具黄色美女视频网址，而且在經(jīng)濟(jì)學(xué)、信息處理黄片线上看、自動(dòng)控制等其他領(lǐng)域有著廣泛的應(yīng)用精品久久久一级黄片，近年來(lái)，結(jié)合環(huán)高清国产一级婬片A片免费、半環(huán)等更一般的代數(shù)系統(tǒng)的矩陣廣義逆的研究18分钟处破之轻点好痛，不僅將廣義逆的理論和方法作了更加深入的推廣，而且也成了刻畫代數(shù)結(jié)構(gòu)的有力工具av在线免。

The aim of this paper is to study the generalized inverse of matrices on rings, the generalized inverse of morphism and partial ordering of matrices.

矩陣廣義逆的研究包括環(huán)上矩陣的廣義逆欧美多人操逼，范疇中態(tài)射的廣義逆，廣義逆矩陣的計(jì)算和廣義逆矩陣的應(yīng)用等三级毛片网站在线免费进入。

Through promoting matrix counter ,this article simply introduced the multinomial matrix ,compared with the good and bad points of the two counter algorithms in different, illustrated the utilization of counter in solving homogeneous line good equation sets, and discussed the decomposition of the Multiple polynomial matrix.

本文對(duì)逆矩陣的簡(jiǎn)單介紹后AV天堂久久天堂AV色，闡述了多項(xiàng)式矩陣逆的定義及性質(zhì)，比較了兩種多項(xiàng)式矩陣逆的算法免费黄色片你懂的。討論了在不同情況下利用逆在解線性齊次方程組的方法欧美性XXXXX精品。最后探討了多元多項(xiàng)式矩陣的分解問(wèn)題。

In Chap 3, we give the definitions of left inverse and right inverse; present the fast algorithms of left inverse and right inverse for Toeplitz matrix, Hankel matrix, Loewner matrix and Vandermonde matrix with mxn order.

第三章先給出左逆及右逆的定義456精品视频，然后分別給出了求m×n階Toeplitz矩陣99riav2.com、Hankel矩陣、Loewner矩陣我要看操逼A片、Vandermonde矩陣的左逆及右逆的快速算法黄片视频免费在线观看。

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言從引進(jìn)廣義逆矩陣的定義著手，介紹了它的歷史概況以及發(fā)展的背景及其意義一级美女操逼视频；第1章從廣義逆的發(fā)展歷程討論由Moore-Penrose方程確定的各種廣義逆的定義；第2章討論廣義逆中的減號(hào)逆A 的定義及性質(zhì)以及在相容線性方程組的應(yīng)用国产在线观看福利；第3章討論廣義逆中的最小范數(shù)逆A 的定義及計(jì)算以及它與相容線性方程組Ax=b的極小范數(shù)解www啦啦啦。

The preface gave the definition and introduced history, background of development and significance of generalized inverse matrix. The first chapter, from the development process of generalized inverse, discussed all kinds of definition of generalized inverse determined by the Moore - Penrose equations. The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言從引進(jìn)廣義逆矩陣的定義著手，介紹了它的歷史概況以及發(fā)展的背景及其意義黄色成年人亚洲；第一章從廣義逆的發(fā)展歷程討論由Moore-Penrose方程確定的各種廣義逆的定義欧美日韩啊啊啊爽性爱激情；第二章討論廣義逆中的減號(hào)逆A 的定義及性質(zhì)以及在相容線性方程組的應(yīng)用；第三章討論廣義逆中的最小范數(shù)逆A 的定義及計(jì)算以及它與相容線性方程組Ax=b的極小范數(shù)解黄毛片在线观看。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不變量是矩陣廣義逆線性算子的保持問(wèn)題天堂久久久AV网站，概述了廣義逆矩陣，廣義逆保持問(wèn)題的研究現(xiàn)狀色悠悠久久久综合色鬼，在對(duì)線性映射的基礎(chǔ)知識(shí)亚洲色图日韩欧美，廣義逆矩陣的定義、性質(zhì)和矩陣的分解深入理解的基礎(chǔ)上国产永久精品91在线，深入分析了保冪等、保立方冪等矩陣在主理想整環(huán)上的分解形式欧美色欧美亚洲另类少妇，繼而研究了保對(duì)稱矩陣群逆的線性算子形式jizzz色多多。

Then a dynamic inversion tracing control method and a dynamic inversion fuzzy integrated control method are used to design depth control systems for a torpedo respectively. The simulation results illustrate that dynamic inversion fuzzy integrated control method can solve the problem of torpedo depth control more satisfactorily than the dynamic inversion tracing control method can.

提出了基于動(dòng)態(tài)逆的跟蹤控制方法和動(dòng)態(tài)逆模糊集成控制方法，并分別將這兩種方法用于魚雷深度控制中男女拍拍拍AAA毛片免费视频，通過(guò)仿真說(shuō)明動(dòng)態(tài)逆模糊集成控制方法比基于動(dòng)態(tài)逆的跟蹤控制方法更好地解決了魚雷的深度控制問(wèn)題www.一区二区三区.com。

In this dissertation, a new inversing algorithm called essemble-spatial optimizing method is presented which can lower the sensitivity of inversing error to noise to some extent.

噪聲是影響求逆的主要因素，本文提出的總集空間全局尋優(yōu)求逆準(zhǔn)則在一定程度上降低了求逆對(duì)噪聲的敏感性性插20分钟免费视频。

Adverse：逆的

adverse reaction 有害反應(yīng);逆反應(yīng) | adverse 逆的 | advertent 注意的

hard and fast：不可違逆的

hard 硬的 | hard-and-fast 不可違逆的 | hard-bitten 不易對(duì)付的

irreversibility：不能反逆的性能, 不可改變性

cataclysmic variable [天]激變變星 | irreversibility 不能反逆的性能, 不可改變性 | cerebral 腦的, 大腦的

irreversibility：不能反逆的性能

irreverently 不敬地 | irreversibility 不能反逆的性能 | irreversible 不能撤回的

left inverse：左逆的

左不變測(cè)度 left invariant measure | 左逆的 left inverse | 左逆元 left inverse element

adverse unfavorable：不利的逆的

achieve attain 努力取得 | adverse unfavorable 不利的逆的 | advisable wise 明智的

adverse unfavorable：逆的

131. demolish pull down 推翻 G10 3 | 132. adverse unfavorable 逆的 G10 4 | 133. concise short and clear 簡(jiǎn)明的 G10 5

regicidal：大逆的

regermination 再發(fā)芽 | regicidal 大逆的 | regicide 大逆

regicidal：弒君王的; 大逆的 (形)

reggae 雷蓋配樂(lè)歌曲 (名) | regicidal 弒君王的; 大逆的 (形) | regicide 弒君, 大逆者, 大逆 (名)

singultous：呃逆的

singularvertex 奇異頂點(diǎn) | singultous 呃逆的 | singultus 呃逆