From e2c95c4ba67fbbe0b3208ccb2223a43f3ecd316c Mon Sep 17 00:00:00 2001
From: hamzahs1 <84736257+hamzahs1@users.noreply.github.com>
Date: Sun, 22 Jan 2023 19:28:31 -0500
Subject: [PATCH 1/4] Create fixedpoint_iter

added fixed point iteration algorithm
---
 .../arithmetic_analysis/fixedpoint_iter       | 31 +++++++++++++++++++
 1 file changed, 31 insertions(+)
 create mode 100644 algorithms/arithmetic_analysis/fixedpoint_iter

diff --git a/algorithms/arithmetic_analysis/fixedpoint_iter b/algorithms/arithmetic_analysis/fixedpoint_iter
new file mode 100644
index 0000000..4a42034
--- /dev/null
+++ b/algorithms/arithmetic_analysis/fixedpoint_iter
@@ -0,0 +1,31 @@
+function cobweb(f,a, b, x0, N)
+  
+% generate the cobweb diagram associated with
+% the iteration: x_{n+1}=f(x_n).
+% N is the number of iterates, and
+% (a,b) is the interval
+% x0 is  the initial point.
+% plot y=f(x)
+
+x=a:.01:b;
+y=f(x);
+figure
+hold on;
+title('fixed point iteration')
+plot(x,y,'k'); % plot the function
+%pause
+plot(x,x,'r'); % plot the straight line
+%pause
+x(1)=x0; % plot orbit starting at x0
+for i=1:N
+    x(i+1)=f(x(i));
+    if i==1
+        line([x(i),x(i)],[0,x(i+1)]);
+    else 
+        line([x(i),x(i)],[x(i),x(i+1)]);
+    end
+    pause
+    line([x(i),x(i+1)],[x(i+1),x(i+1)]);
+    pause
+end
+hold off;

From 4dadc46d7079b7f22c569a3b0ac8d9e53ea10474 Mon Sep 17 00:00:00 2001
From: hamzahs1 <84736257+hamzahs1@users.noreply.github.com>
Date: Sun, 22 Jan 2023 19:28:48 -0500
Subject: [PATCH 2/4] Rename fixedpoint_iter to fixed_point_iter

---
 .../arithmetic_analysis/{fixedpoint_iter => fixed_point_iter}     | 0
 1 file changed, 0 insertions(+), 0 deletions(-)
 rename algorithms/arithmetic_analysis/{fixedpoint_iter => fixed_point_iter} (100%)

diff --git a/algorithms/arithmetic_analysis/fixedpoint_iter b/algorithms/arithmetic_analysis/fixed_point_iter
similarity index 100%
rename from algorithms/arithmetic_analysis/fixedpoint_iter
rename to algorithms/arithmetic_analysis/fixed_point_iter

From c6fd72b83b2b2edba63dee3cb24a19920115958f Mon Sep 17 00:00:00 2001
From: hamzahs1 <84736257+hamzahs1@users.noreply.github.com>
Date: Sun, 22 Jan 2023 19:34:21 -0500
Subject: [PATCH 3/4] Update fixed_point_iter

---
 algorithms/arithmetic_analysis/fixed_point_iter | 6 ++----
 1 file changed, 2 insertions(+), 4 deletions(-)

diff --git a/algorithms/arithmetic_analysis/fixed_point_iter b/algorithms/arithmetic_analysis/fixed_point_iter
index 4a42034..1a36423 100644
--- a/algorithms/arithmetic_analysis/fixed_point_iter
+++ b/algorithms/arithmetic_analysis/fixed_point_iter
@@ -1,4 +1,4 @@
-function cobweb(f,a, b, x0, N)
+function fpi(f,a, b, x0, N)
   
 % generate the cobweb diagram associated with
 % the iteration: x_{n+1}=f(x_n).
@@ -13,9 +13,7 @@ figure
 hold on;
 title('fixed point iteration')
 plot(x,y,'k'); % plot the function
-%pause
-plot(x,x,'r'); % plot the straight line
-%pause
+plot(x,x,'r'); % plot straight line
 x(1)=x0; % plot orbit starting at x0
 for i=1:N
     x(i+1)=f(x(i));

From af1ca0c3f7537d9b1745de5ed4c3be5faaab5e14 Mon Sep 17 00:00:00 2001
From: hamzahs1 <84736257+hamzahs1@users.noreply.github.com>
Date: Sun, 22 Jan 2023 19:39:13 -0500
Subject: [PATCH 4/4] Added .m extension for MATLAB

---
 .../arithmetic_analysis/{fixed_point_iter => fixed_point_iter.m}  | 0
 1 file changed, 0 insertions(+), 0 deletions(-)
 rename algorithms/arithmetic_analysis/{fixed_point_iter => fixed_point_iter.m} (100%)

diff --git a/algorithms/arithmetic_analysis/fixed_point_iter b/algorithms/arithmetic_analysis/fixed_point_iter.m
similarity index 100%
rename from algorithms/arithmetic_analysis/fixed_point_iter
rename to algorithms/arithmetic_analysis/fixed_point_iter.m