- 相關(guān)推薦
矩陣的廣義逆及其應(yīng)用
矩陣的廣義逆及其應(yīng)用
摘要
本文首先對(duì)矩陣的廣義逆進(jìn)行定義及其分類(lèi)，然后詳細(xì)討論每1類(lèi)廣義逆矩陣的性質(zhì)及其求解方法，其中包括減號(hào)逆 的性質(zhì)與求解，自反減號(hào)逆 （左逆 與右逆 的性質(zhì)與求解）以及加號(hào)逆 的唯1性證明與求解。通過(guò)對(duì)每1類(lèi)廣義逆矩陣的求解方法的研究，最后探討矩陣的廣義逆在解線形方程組中的應(yīng)用。
關(guān)鍵字：廣義逆矩陣；滿秩長(zhǎng)矩陣；初等變換；線形方程組。
Ｇeneralized Inverse Matrices and Its Application
ABSTRACT
Firstly,this paper deals with the definition and classification of generalized inverses; then, the characteristics and solutions of all kinds of generalized inverses , including A-,Ar-,A+, have been discussed;lastly, the application of generalized inverse in solving linear equations has been narrated.
Key word: generalized inverse matrices ,full ring matrix, elementary grade transformation, the line form square distance set.
【矩陣的廣義逆及其應(yīng)用】相關(guān)文章：
矩陣的分解及其應(yīng)用03-07
矩陣函數(shù)的性質(zhì)及其應(yīng)用03-07
矩陣對(duì)角化及其應(yīng)用03-07
淺談廣義次正定矩陣03-07
廣義Wardrop 原理及其在區(qū)域綜合運(yùn)輸中的應(yīng)用03-07
矩陣的分解與應(yīng)用03-07
廣義對(duì)稱、反對(duì)稱矩陣反問(wèn)題12-26
矩陣分解以及應(yīng)用03-07