scholarly journals Parallelization of the QR Decomposition with Column Pivoting Using Column Cyclic Distribution on Multicore and GPU Processors

2013 ◽  
pp. 50-58 ◽  
Author(s):  
Andrés Tomás ◽  
Zhaojun Bai ◽  
Vicente Hernández
Keyword(s):  
Qr Decomposition ◽  
Column Pivoting

scholarly journals Structured Matrix Methods Computing the Greatest Common Divisor of Polynomials

2017 ◽  
Vol 5 (1) ◽  
pp. 202-224 ◽  
Author(s):  
Dimitrios Christou ◽  
Marilena Mitrouli ◽  
Dimitrios Triantafyllou
Keyword(s):  
Computational Complexity ◽  
Qr Decomposition ◽  
Greatest Common Divisor ◽  
Computational Simulations ◽  
Matrix Representations ◽  
Basis Matrix ◽  
Matrix Methods ◽  
Structured Matrix ◽  
Bezout Matrix ◽  
Column Pivoting

Abstract This paper revisits the Bézout, Sylvester, and power-basis matrix representations of the greatest common divisor (GCD) of sets of several polynomials. Furthermore, the present work introduces the application of the QR decomposition with column pivoting to a Bézout matrix achieving the computation of the degree and the coeffcients of the GCD through the range of the Bézout matrix. A comparison in terms of computational complexity and numerical effciency of the Bézout-QR, Sylvester-QR, and subspace-SVD methods for the computation of theGCDof sets of several polynomials with real coeffcients is provided.Useful remarks about the performance of the methods based on computational simulations of sets of several polynomials are also presented.

scholarly journals Multipath number estimation based on QR decomposition

2021 ◽  
Vol 1738 ◽  
pp. 012069
Author(s):  
Xiangying Gao ◽  
Zhixin Liu ◽  
Yongjun Zhao ◽  
Chengcheng Liu
Keyword(s):  
Qr Decomposition

Real-domain QR decomposition models employing zeroing neural network and time-discretization formulas for time-varying matrices

2021 ◽  
Vol 448 ◽  
pp. 217-227
Author(s):  
Zhenyu Li ◽  
Yunong Zhang ◽  
Liangjie Ming ◽  
Jinjin Guo ◽  
Vasilios N. Katsikis
Keyword(s):  
Neural Network ◽  
Time Discretization ◽  
Qr Decomposition ◽  
Time Varying ◽  
Real Domain ◽  
Decomposition Models

Broadcast in MIMO Systems Based on a Generalized QR Decomposition: Signaling and Performance Analysis

2008 ◽  
Vol 54 (3) ◽  
pp. 1124-1138 ◽  
Author(s):  
Mohammad Ali Maddah-Ali ◽  
Mehdi Ansari Sadrabadi ◽  
Amir K. Khandani
Keyword(s):  
Performance Analysis ◽  
Mimo Systems ◽  
Qr Decomposition ◽  
And Performance
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