Scientific Research Publishing

New Method of Givens Rotations for Triangularization of Square Matrices

This paper describes a new method of QR-decomposition of square nonsingular matrices (real or complex) by the Givens rotations through the unitary discrete heap transforms. This transforms can be ...
Scientific Research Publishing

New Method of Givens Rotations for Triangularization of Square Matrices ()

This paper describes a new method of QR-decomposition of square nonsingular matrices (real or complex) by the Givens rotations through the unitary discrete heap transforms. This transforms can be ...
IEEE

Non-linear detection for space-time systems using orthogonal triangularization by QR decomposition

Abstract: A new non-linear symbol detection algorithm is proposed that uses an orthogonal triangularization method to reduce the complexity of the detection process. First, the optimum symbol ...
GitHub

4. Doolittle's (Lii=1) Triangularization (Factorization or LU Decomposition) Method.py

for i in range(j+1, N): # i = j+1 to N-1 L[i,j] = (A[i,j] - sum(U[:j,j]*L[i,:j]))/U[j,j] # k = 0 to j-1 for i in range(N-1, -1, -1): # i = N-1 to 0 X[i] = (Y[i] - sum ...
World Scientific

Two Interpolation Matrix Triangularization Methods for Parametric Level Set-Based Structural Topology Optimization

School of Science, Chang’an University, Xi’an, Shaanxi 710061, P. R. China School of Science, Xi’an Aeronautical Institution, Xi’an, Shaanxi 710077, P. R. China ...
GitHub

5. Crout's (Uii=1) Triangularization (Factorization or LU Decomposition) Method.py

L = zeros((N,N)) # L = [[0.0] * n for i in xrange(n)] U = zeros((N,N)) # U = [[0.0 for x in range(n)] for y in range(n)] for j in range(N): # j = 0 to N-1 for i in ...