數(shù)學(xué)畢業(yè)論文廣義逆矩陣與相容線性方程組

1、廣義逆矩陣與相容線性方程組廣義逆矩陣與相容線性方程組摘要 : 本論文系統(tǒng)地論述與相容線性方程組相關(guān)2 種廣義逆矩陣的定義、性質(zhì)和計(jì)算，以及與相容線性方程組的關(guān)系前言從引進(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；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逆a 的定義及性質(zhì)以及在相容線性方程組的應(yīng)用；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)解全文全面地給出與相容線性方程有關(guān)的2 種廣義逆矩陣的定義、性質(zhì)、計(jì)算及其在相容線性方程組中的應(yīng)用關(guān)鍵詞:廣義逆

2、矩陣；極小范數(shù)解；線性方程組generalized inverse matrix andcompatible linear equationsabstract: this paper systematically discussed the definition, nature and calculation of two kinds of generalized inverse matrix related to the compatible linear equations, and their relations with the compatible linear equations.

3、 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 equati

4、ons. the second chapter discussed the definition and nature of dashes inverse a in generalized inverse as well as itsapplication in compatible linear equations. the third chapter discussed the definition and calculation of theminimum norm inverse ain generalized inverse, as wellas the minimal norm s

5、olution of its compatible linear equations ax = b. the whole text completely provided the definition, nature and computation of two kinds of generalized inverse matrix related to the compatible linear equation and its application in the compatiblelinear equations.key words:generalized inverse matrix

6、;minimal norm solution; linear equations廣義逆矩陣與相容線性方程組摘要 :本論文系統(tǒng)地論述與相容線性方程組相關(guān)2 種廣義逆矩陣的定義、性質(zhì)和計(jì)算，以及與相容線性方程組的關(guān)系前言從引進(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；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逆a的定義及性質(zhì)以及在相容線性方程組的應(yīng)用；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)解全文全面地給出與相容線性方程有關(guān)的2 種廣義逆矩陣的定義、性質(zhì)、計(jì)

7、算及其在相容線性方程組中的應(yīng)用關(guān)鍵詞: 廣義逆矩陣；極小范數(shù)解；線性方程組generalized inverse matrix andcompatible linear equationsabstract:this paper systematically discussed thedefinition, nature and calculation of two kinds of generalized inverse matrix related to the compatiblelinear equations, and their relations with the compatib

8、le linear equations. 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 mo

9、ore - 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 theminimum norm inverse ain generalized inverse, as wellas the minimal norm solution of its compatible linearequations ax = b. the whole text completely provided the definition, nature and computation of two kinds of generalized inverse matrix related to the comp