Non-orthogonal joint diagonalization with diagonal constraints

作     者：Guoxu Zhou*,Zuyuan Yang,Zongze Wu,Jinlong Zhang School of Electrics and Information Engineering,South China University of Technology,Guangzhou 510641,China 

作者机构：School of Electrics and Information Engineering South China University of Technology Guangzhou 510641 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2008年第18卷第6期

页      面：735-739页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China,NSFC: 60674033,60774094,U0635001 Natural Science Foundation of Guangdong Province: 05006508 

主　　题：Joint diagonalization Blind source separation Conjugate gradient method 

摘      要：Joint diagonalization has attracted much attention and many algorithms have been presented so ***,some ambiguities still exist in the objective functions for joint *** this paper,some criterions are proposed to eliminate the above ambiguities at first,and then a new objective function which satisfies these criterions is *** new objective function introduces diagonal con-straints for joint diagonalization,thus the trivial and unbalance solutions are excluded *** jointly diagonalizable theorem is built to interpret the reasonableness of the new objective function and the conjugate gradient method is used to provide fast and reliable ***,non-orthogonal joint diagonalization algorithm with diagonal constraints(DDiag)is *** show that DDiag is ecient and robust.