Truong, T.: Degree complexity of matrix inversion: symmetric case. PreprintEric Bedford and Tuyen Trung Truong, Degree complexity of birational maps related to matrix inversion, to appear in Comm. Math. Phys. arXiv: 0907.3319.T. Truong, T.: Degree complexity of matrix inversion: symmetric case...
One of the forms for Sphere Decoding (SD) requires the computation of Zero Forcing (ZF) solution, which in turn demands a matrix inversion. It is already known that the application of exact inverse is not necessary to find the ZF solution and an approximate inverse would yield the similar ...
, and matrix inversion is polynomial-time in the Turing machine model [6]. Next, we observe that the last column of W 0 ˆ Q −1 is W 0 ˆ Q −1 e k = W 0 ˆ Q −1 ˆ QH 0 e = W 0 H 0 e. We already argued above that this vector is nonzero, but now ...
Recently, processor efficiency of the previous parallel algorithms for numerical matrix inversion has been substantially improved in (Pan and Reif, 1987), reaching optimum estimates up to within a logarithmic factor; that work, however, applies neither to the evaluation of the determinant and the ...
What is the factor that causes Gauss-Seidel method takes longer time execution in MATLAB caompared to the neumann series method? Is it because of the lower triangular matrix inversion that is solved using Forward-backward substitution? For your informtion, I use tic-toc function in MATLAB ...
(i) First we show that all the known algorithms for polynomial division can be represented as algorithms for triangular Toeplitz matrix inversion. In spite of the apparent difference of the algorithms of these two classes, their strong equivalence is demonstrated. (ii) Then ...
Unavoidability of Matrix Inversion; 2. Activation functions are limited in form; 3. Nonsingular Related Matrix. Alternative Specially GND Models . X (t) M T (t)(M (t) X (t) I ) modified Drawbacks: 1. Lagging Error; 2. Non-convex programming; 3. Unsatisfactory Convergent Rate. ACGND...
We employ a single matrix inversion method to reduce complexity, while the third loop inside MIMO detector is employed to improve the reliability of the symbol estimation to enhance the performance. Simulation results demonstrates that the proposed method produces comparable err... 更多...
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Linear precoding techniques can achieve near- optimal capacity due to the special channel property in down- link massive MIMO systems, but involve high complexity since complicated matrix inversion of large size is required. In this paper, we propose a low-complexity linear precoding scheme based ...