added check for perfect initial guess, updated documentation

tamaskis · Oct 17, 2022 · 3b132e4 · 3b132e4
1 parent 10ac4ba
commit 3b132e4
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Showing 3 changed files with 8 additions and 2 deletions.
diff --git a/EXAMPLES.mlx b/EXAMPLES.mlx
diff --git a/Root_Finding_Methods.pdf b/Root_Finding_Methods.pdf
diff --git a/bisection_method.m b/bisection_method.m
@@ -11,7 +11,7 @@
 % See also fzero, newtons_method, secant_method.
 %
 % Copyright © 2021 Tamas Kis
-% Last Update: 2022-07-06
+% Last Update: 2022-10-16
 % Website: https://tamaskis.github.io
 % Contact: tamas.a.kis@outlook.com
 %
@@ -76,6 +76,12 @@
     % root estimate at first iteration
     c = (a+b)/2;
 
+    % returns root estimate at first iteration if it is a root of f(x)
+    if f(c) == 0
+        x = c;
+        return
+    end
+
     % function evaluations at first iteration
     fa = f(a);
     fc = f(c);
@@ -85,7 +91,7 @@
         x_all = zeros(1,k_max+1);
     end
 
-    % bisection method
+    % iteration
     for k = 1:k_max
 
         % stores results in arrays