Novel Tridiagonal Commuting Matrices for Types I, IV, V, VIII DCT and DST Matrices

2014 ◽  
Vol 21 (4) ◽  
pp. 483-487 ◽  
Author(s):  
Deyun Wei ◽  
Yuanmin Li
Keyword(s):  
Commuting Matrices

scholarly journals Pictures of $KK$ -theory for real $C^{*}$ -algebras and almost commuting matrices

2016 ◽  
Vol 10 (1) ◽  
pp. 27-47 ◽  
Author(s):  
Jeffrey L. Boersema ◽  
Terry A. Loring ◽  
Efren Ruiz
Keyword(s):  
C Algebras ◽  
Commuting Matrices

Almost Eigenvectors for Almost Commuting Matrices

1971 ◽  
Vol 21 (2) ◽  
pp. 232-235 ◽  
Author(s):  
Allen R. Bernstein
Keyword(s):  
Commuting Matrices

Generalized Commuting Matrices and Their Eigenvectors for DFTs, Offset DFTs, and Other Periodic Operations

2008 ◽  
Vol 56 (8) ◽  
pp. 3891-3904 ◽  
Author(s):  
Soo-Chang Pei ◽  
Jian-Jiun Ding ◽  
Wen-Liang Hsue ◽  
Kuo-Wei Chang
Keyword(s):  
Commuting Matrices

Commuting matrices, equilibrium points for control systems with single saturated input

2015 ◽  
Vol 259 ◽  
pp. 987-1002 ◽  
Author(s):  
Guo Shuli ◽  
Irene Moroz ◽  
Han Lina ◽  
Xin Wenfang ◽  
Feng Xianjia
Keyword(s):  
Control Systems ◽  
Equilibrium Points ◽  
Commuting Matrices

scholarly journals Cuntz-Krieger Algebras Associated with Hilbert $C^*$-Quad Modules of Commuting Matrices

2015 ◽  
Vol 117 (1) ◽  
pp. 126 ◽  
Author(s):  
Kengo Matsumoto
Keyword(s):  
Euclidean Algorithm ◽  
C Algebra ◽  
Commuting Matrices ◽  
Tiling Space ◽  
Positive Integers

Let $\mathscr{O}_{\mathscr{H}^{A,B}_{\kappa}}$ be the $C^*$-algebra associated with the Hilbert $C^*$-quad module arising from commuting matrices $A,B$ with entries in $\{0,1\}$. We will show that if the associated tiling space $X_{A,B}^\kappa$ is transitive, the $C^*$-algebra $\mathscr{O}_{\mathscr{H}^{A,B}_{\kappa}}$ is simple and purely infinite. In particular, for two positive integers $N,M$, the $K$-groups of the simple purely infinite $C^*$-algebra $\mathscr{O}_{\mathscr{H}^{[N],[M]}_{\kappa}}$ are computed by using the Euclidean algorithm.

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