A Nonorthogonal Joint Block Diagonalization Algorithm Avoiding Degenerate Solutions

2017 ◽  
Vol 26 (2) ◽  
pp. 331-335
Author(s):  
Guanghui Cheng ◽  
Leijie Wang ◽  
Zhuande Wang
Keyword(s):  
Block Diagonalization ◽  
Degenerate Solutions ◽  
Diagonalization Algorithm

scholarly journals Bidiagonalization of (k, k + 1)-tridiagonal matrices

2019 ◽  
Vol 7 (1) ◽  
pp. 20-26 ◽  
Author(s):  
S. Takahira ◽  
T. Sogabe ◽  
T.S. Usuda
Keyword(s):  
Tridiagonal Matrix ◽  
Permutation Matrix ◽  
Block Diagonalization ◽  
Tridiagonal Matrices ◽  
The Matrix ◽  
Appl Math ◽  
Diagonalization Algorithm

Abstract In this paper,we present the bidiagonalization of n-by-n (k, k+1)-tridiagonal matriceswhen n < 2k. Moreover,we show that the determinant of an n-by-n (k, k+1)-tridiagonal matrix is the product of the diagonal elements and the eigenvalues of the matrix are the diagonal elements. This paper is related to the fast block diagonalization algorithm using the permutation matrix from [T. Sogabe and M. El-Mikkawy, Appl. Math. Comput., 218, (2011), 2740-2743] and [A. Ohashi, T. Sogabe, and T. S. Usuda, Int. J. Pure and App. Math., 106, (2016), 513-523].

A Nonunitary Joint Block Diagonalization Algorithm for Blind Separation of Convolutive Mixtures of Sources

2007 ◽  
Vol 14 (11) ◽  
pp. 860-863 ◽  
Author(s):  
Hicham Ghennioui ◽  
Fadaili El Mostafa ◽  
NadÈge Thirion-Moreau ◽  
Abdellah Adib ◽  
Eric Moreau
Keyword(s):  
Block Diagonalization ◽  
Blind Separation ◽  
Convolutive Mixtures ◽  
Diagonalization Algorithm

scholarly journals A New User Selection Measure in Block Diagonalization Algorithm for Multiuser MIMO Systems

2009 ◽  
Vol E92-B (10) ◽  
pp. 3206-3218 ◽  
Author(s):  
Riichi KUDO ◽  
Yasushi TAKATORI ◽  
Kentaro NISHIMORI ◽  
Atsushi OHTA ◽  
Shuji KUBOTA ◽  
...  
Keyword(s):  
Mimo Systems ◽  
User Selection ◽  
Block Diagonalization ◽  
Multiuser Mimo ◽  
Multiuser Mimo Systems ◽  
Diagonalization Algorithm
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