wip midterm

midterm/midterm.m

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+%% Midterm
+% Name: Claudio Maggioni
+%
+% Date: 2020-04-02
+%
+% This is a template file for the first assignment to get started with running
+% and publishing code in Matlab.  Each problem has its own section (delineated
+% by |%%|) and can be run in isolation by clicking into the particular section
+% and pressing |Ctrl| + |Enter| (evaluate current section).
+%
+% To generate a pdf for submission in your current directory, use the following
+% three lines of code at the command window:
+%
+%  >> options.format = 'pdf'; options.outputDir = pwd; publish('midterm.m', options)
+%
+
+%% Problem 6
+
+clear();
+
+[L, U] = outerProductLU([1 1 1 1 1;
+    2 4 4 4 4;
+    3 7 10 10 10;
+    4 10 16 20 20;
+    5 13 22 30 35]);
+
+display(L);
+display(U);
+
+[L, U] = outerProductLU([0 0 ; 0 0]);
+display(L);
+display(U);
+
+function [L,U] = outerProductLU(A)
+dimensions = size(A);
+n = dimensions(1);
+L = zeros(n, n);
+U = zeros(n, n);
+for i = 1:n
+    if A(i, i) == 0
+        disp("One of the pivots has become 0");
+        L = [];
+        U = [];
+        break
+    end
+    L(:, i) = A(:, i) / A(i, i);
+    U(i, :) = A(i, :);
+    A = A - L(:, i) * U(i, :);
+end
+end