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Task 2 code

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PolishPigeon 2021-11-11 19:25:55 +01:00
parent 5c984d09a7
commit d5089c4a9e
1 changed files with 25 additions and 19 deletions
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42
ENUME/projectA/jacobiMethod.m
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@ -1,4 +1,15 @@
function x = jacobiMethod(Matrix, Vector) function x = jacobiMethod(Matrix, Vector)
[L, D, U, initial_x, whichIterationAreWeOn, currentError, demandedTolerance] = initializeValues(Matrix)
x = jacobiLoop(Matrix, L, D, U, initial_x, whichIterationAreWeOn, currentError, demandedTolerance, Vector);
disp("Final demandedTolerance");
disp(demandedTolerance);
disp("Final Iteration: ");
disp(whichIterationAreWeOn);
disp("A\b matlab:");
disp(Matrix \ Vector);
end
function [L, D, U, initial_x, whichIterationAreWeOn, currentError, demandedTolerance] = initializeValues(Matrix)
[Rows, ~] = size(Matrix); [Rows, ~] = size(Matrix);
[L, D, U] = decomposeMatrix(Matrix); [L, D, U] = decomposeMatrix(Matrix);
initial_x = ones(Rows, 1); initial_x = ones(Rows, 1);
@ -6,10 +17,21 @@ function x = jacobiMethod(Matrix, Vector)
currentError = inf; % We set it to inf so that the algorithm will always start currentError = inf; % We set it to inf so that the algorithm will always start
% (See condition below) % (See condition below)
demandedTolerance = 1e-10; demandedTolerance = 1e-10;
end
function [L, D, U] = decomposeMatrix(Matrix)
D = diag(diag(Matrix));
U = triu(Matrix, 1); % Generates upper triangular part of matrix
% where the second variable denotes on which diagonal of matrix should we
% start
L = tril(Matrix, -1); % Generates lower triangular part of matrix
% where the second variable denotes on which diagonal of matrix should we
% start
end
function x = jacobiLoop(Matrix, L, D, U, initial_x, whichIterationAreWeOn, currentError, demandedTolerance, Vector)
while currentError >= demandedTolerance while currentError >= demandedTolerance
x = jacobiEquation(D, L, U, initial_x, Vector); x = jacobiEquation(D, L, U, initial_x, Vector);
currentError = norm(x - initial_x); currentError = norm(x - initial_x);
%disp(currentError); %disp(currentError);
if currentError <= demandedTolerance if currentError <= demandedTolerance
@ -24,22 +46,6 @@ function x = jacobiMethod(Matrix, Vector)
initial_x = x; initial_x = x;
whichIterationAreWeOn = whichIterationAreWeOn + 1; whichIterationAreWeOn = whichIterationAreWeOn + 1;
end end
disp("Final demandedTolerance");
disp(demandedTolerance);
disp("Final Iteration: ");
disp(whichIterationAreWeOn);
disp("A\b matlab:");
disp(Matrix \ Vector);
end
function [L, D, U] = decomposeMatrix(Matrix)
D = diag(diag(Matrix));
U = triu(Matrix, 1); % Generates upper triangular part of matrix
% where the second variable denotes on which diagonal of matrix should we
% start
L = tril(Matrix, -1); % Generates lower triangular part of matrix
% where the second variable denotes on which diagonal of matrix should we
% start
end end