trying to find main diagonal of a matrix for cholesky method
2 次查看(过去 30 天)
显示 更早的评论
my goal is to find the main diagonal of a matrix G, through the cholesky method. For this I'm using a summation, however there is no success follow the code so far and the sum of interest.
clear;
clc;
%cholesky
n= input ("dimension of system:"); %dimension of system for the matrix
A= input("enter matrix A "); %initial matrix A for the cholesky method
disp (A);
i=1;
j=1;
for i=j
if i==1
g(1,1)=sqrt (A(1,1));
fprintf ("first element: \n"); %first element of the diagonal g(1,1)
disp (g(1,1))
end
%diagonal
k=1;
for i=2:n
for i=i-1
g(i,i)= g(i,i) + sqrt(A(i,i) - g(i,k)^2); % summation for the remaining diagonals dependent on the dimension of the system
end
end
end
disp(g(i,i))
the sum of interest below:

the entries are respectively:
3 -> dimension of system
[ 1 1 0; 1 2 -1; 0 -1 3] -> matrix A
the error is: 

0 个评论
采纳的回答
Dyuman Joshi
2023-9-3
%Random data
n = 5; %input ("dimensão do sistema:"); %dimension of system for the matrix
A = magic(5); %input("entre com a matriz "); %initial matrix A for the cholesky method
disp(A);
%Pre-allocate g array
g = zeros(n);
for i=1:n
if i==1
g(i,i) = sqrt(A(i,i));
fprintf("primeiro elemento: %f\n", g(1,1)); %first element of the diagonal g(1,1)
else
k=1:i-1;
%summation for the remaining diagonals dependent on the dimension of the system
g(i,i) = sqrt(A(i,i) - sum(g(i,k).^2));
end
end
disp(g)
2 个评论
Dyuman Joshi
2023-9-3
FYI, You can make a function and test for any inputs -
n = 3;
A = [1 1 0; 1 2 -1; 0 -1 3];
disp(A);
g = choleskymethod(A,n)
function g = choleskymethod(A,n)
%Pre-allocate g array
g = zeros(n);
for i=1:n
if i==1
g(i,i) = sqrt(A(i,i));
fprintf("primeiro elemento: %f\n", g(1,1)); %first element of the diagonal g(1,1)
else
k=1:i-1;
%summation for the remaining diagonals dependent on the dimension of the system
g(i,i) = sqrt(A(i,i) - sum(g(i,k).^2));
end
end
end
更多回答(0 个)
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Operating on Diagonal Matrices 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!