Generally unitary solution to a system of matrix equations over the quaternion field 一四元數(shù)矩陣方程組的廣義酉矩陣解
It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained 摘要研究了四元數(shù)矩陣分解為兩個(gè)自共軛矩陣乘積,其中有一個(gè)是非奇異陣的條件,得到了一些有用的結(jié)果。
The concept of a secondary diagonalizable ( sdiagonalizable ) matrix over quaternion field is defined , necessary and sufficient conditions for determining whether a matrix over quaternion field is a sdiagonalizable matrix are studied , and a method of finding sdiagonalizable matrices is given 摘要給出了四元數(shù)矩陣次對(duì)角化的定義,研究了一個(gè)四元數(shù)矩陣可次對(duì)角化的充要條件,并給出了使其次對(duì)角化的一個(gè)方法。