The upper triangular portion of a matrix includes the main diagonal and all elements above it. The shaded elements in this graphic depict the upper triangular portion of a 6-by-6 matrix.Extended Capabilities expand all C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™. ...
Create a 4-by-4 matrix of ones. Extract the upper triangular portion. A = ones(4) A =4×41 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 B = triu(A) B =4×41 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1 Extract only the elements above the main diagonal. ...
triu(A) returns a triangular matrix that retains the upper part of the matrix A. The lower triangle of the resulting matrix is padded with zeros. triu(A,k) returns a matrix that retains the elements of A on and above the k-th diagonal. The elements below the k-th diagonal equal to ...
Compute the LU factorization of a matrix and examine the resulting factors. LU factorization is a way of decomposing a matrixAinto an upper triangular matrixU, a lower triangular matrixL, and a permutation matrixPsuch thatPA=LU. These matrices describe the steps needed to perform Gaussian elimin...
1、Lower triangular matrix L 2、Upper triangular matrix LU (九)How to Obtain L and U? 1、The matrices L and U are obtained by using a serious of left-multiplication,i.e.,(矩阵L和U是通过一系列的左乘法得到的) L_{m}...L_{2}L_{1}A=U 2、Example: (十)LU Factorization-lu() ...
[L,U,P,Q] = lu(A) returns unit lower triangular matrix L, upper triangular matrix U, a permutation matrix P and a column reordering matrix Q so that P*A*Q = L*U for sparse non-empty A. This uses UMFPACK and is significantly more time and memory efficient than the other syntaxes...
[L,U,P,Q,R] = lu(A)returns an upper triangular matrixU, a lower triangular matrixL, permutation matricesPandQ, and a scaling matrixR, such thatP*(R\A)*Q = L*U. The syntaxlu(A,'matrix')is identical. example [L,U,p,q,R] = lu(A,'vector')returns the permutation information ...
這是因為 Matlab採取類似上述Gaussian Elimination Algorithm使用 maximum Algorithm使用 Matlab Gaussian pivot方式 方式, column pivot方式, 將A化為 upper triangular matrix, 而且將 pivot pivot向量之中 向量之中。而此 pivot向量對應一個排序矩陣。 元素的位置存在 pivot向量之中 此例中 pivot向量為[3 2 4 1]'...
functionX =uptrbk(A, B) % initialization [N N]=size(A); X= zeros(N,1); C= zeros(1, N+1); % construct augmented matrix Aug=[A B]; disp('Aug before elimination'); disp(Aug);forp=1:N-1% partial pivoting [Y,j]=max(abs(Aug(p:N, p))); ...
[lower,upper] = bandwidth(A) returns the lower bandwidth, lower, and upper bandwidth, upper, of matrix A. exampleExamples collapse all Find Bandwidth of Triangular Matrix Copy Code Copy Command Create a 6-by-6 lower triangular matrix. Get A = tril(magic(6)) A = 6×6 35 0 0 0 ...