From 59c61e58244ca112afe7e2caa107ae8e6b2d40e4 Mon Sep 17 00:00:00 2001
From: Christos Choutouridis <hoo2@hoo2.net>
Date: Sun, 3 Nov 2024 20:23:20 +0200
Subject: [PATCH] Add fixed epsilon and lambda variations for bisection method

---
 Work 1/scripts/bisection_epsilonFixed.m       | 47 +++++++++++++++++++
 ...A_lamdaFixed.m => bisection_lambdaFixed.m} |  6 +--
 2 files changed, 50 insertions(+), 3 deletions(-)
 create mode 100644 Work 1/scripts/bisection_epsilonFixed.m
 rename Work 1/scripts/{bisectionA_lamdaFixed.m => bisection_lambdaFixed.m} (83%)

diff --git a/Work 1/scripts/bisection_epsilonFixed.m b/Work 1/scripts/bisection_epsilonFixed.m
new file mode 100644
index 0000000..2b93e8c
--- /dev/null
+++ b/Work 1/scripts/bisection_epsilonFixed.m	
@@ -0,0 +1,47 @@
+%
+% Keeping epsilon fixed, test the iteration needed for different lambda
+% values.
+%
+
+
+% Clear workspace and load the functions and region
+clear
+
+funGivenEnv;
+
+% * epsilon: e = 0.001
+% * lambda:  l > 2e = 0.001
+% * dl: A small step away from 2e
+%       dl = 0.0001
+% * lambda_max: 0.1
+% * size: 25 points
+
+size = 25;
+epsilon = 0.001;
+dl = 0.0001;
+lambda_max= 0.1;
+lambda = linspace(2*epsilon + dl, lambda_max, size);
+k = zeros(1,size);
+
+
+%
+% * Call the bisection method for each lambda value for each function and
+%   keep the number of iterations needed.
+% * Plot the iterations k(lambda) for each function
+%
+i = 0;
+for f = funs
+    i = i + 1;
+    j = 0;
+    for l = lambda
+        j = j + 1;
+        [a, b, k(j)] = bisection(f, a_0, b_0, epsilon, l);
+    end
+    subplot(1, 3, i)
+    plot(lambda, k, '-b', 'LineWidth', 1.0)
+    title(titles(i), 'Interpreter', 'latex')
+    xlabel('lambda')
+    ylabel('Iterations')
+end
+
+    
\ No newline at end of file
diff --git a/Work 1/scripts/bisectionA_lamdaFixed.m b/Work 1/scripts/bisection_lambdaFixed.m
similarity index 83%
rename from Work 1/scripts/bisectionA_lamdaFixed.m
rename to Work 1/scripts/bisection_lambdaFixed.m
index 3caa575..28d98ab 100644
--- a/Work 1/scripts/bisectionA_lamdaFixed.m	
+++ b/Work 1/scripts/bisection_lambdaFixed.m	
@@ -1,6 +1,6 @@
 %
-% Keeping l (accuracy) fix, test the iteration needed for different e
-% values.
+% Keeping l (accuracy) fixed, test the iteration needed for different
+% epsilon values.
 %
 
 
@@ -25,7 +25,7 @@ k = zeros(1,size);
 %
 % * Call the bisection method for each epsilon value for each function and
 %   keep the number of iterations needed.
-% * Plot the (epsilon, iterations) for each function
+% * Plot the iterations k(epsilon) for each function
 %
 i = 0;
 for f = funs