矩陣反問(wèn)題初探

矩陣反問(wèn)題初探
 
摘要

本文提出了伴隨矩陣的反問(wèn)題，根據矩陣的有關(guān)知識導出了該反問(wèn)題有解的充分必要條件，并給出了解的個(gè)數。另外考慮了實(shí)對稱(chēng)矩陣的特征值反問(wèn)題，在解決該反問(wèn)題的同時(shí)給出了該問(wèn)題有解的充分條件。為更深入地理解此充分條件，討論了它的注意事項。最后，淺談了矩陣逆特征值問(wèn)題的應用。
關(guān)鍵詞：伴隨矩陣;實(shí)對稱(chēng)矩陣;特征值反問(wèn)題 
            The Origin exploration of inverse Problems of Matrices

ABSTRACT

In this paper, the inverse problem of adjoint was firstly considered. The necessary and sufficient conditions of solvability for the problem were derived according to concerned knowledge about matrices and the number of general solution  was given. Then we investigated the inverse eigenvalue problem of real symmetric matrices. The inverse problem was solved and meanwhile gave the sufficient conditions for this problem. Something about the sufficient conditions, which was worth noticing, was discussed so as to be understood deeply. Finally, we simply talk about the application and development of inverse eigenvalue problem.
Key words:  adjoint; real symmetric matrices; eigenvalue inverse problem.

【矩陣反問(wèn)題初探】相關(guān)文章：

矩陣方程的自反和反自反矩陣解03-07

安全投入問(wèn)題初探03-18

廣義對稱(chēng)、反對稱(chēng)矩陣反問(wèn)題12-26

地方文獻分編問(wèn)題初探03-19

企業(yè)知識管理問(wèn)題初探論文03-31

求實(shí)對稱(chēng)矩陣特征值問(wèn)題的分治算法03-07

成本信息相關(guān)性問(wèn)題初探03-11

廣告公司大客戶(hù)管理問(wèn)題初探03-22

市場(chǎng)與反市場(chǎng)的兩類(lèi)不同問(wèn)題03-11