From 562ba9a9b6efd8cc27fc506f83b1125c2cfa4619 Mon Sep 17 00:00:00 2001
From: Elizabeth Hunt <elizabeth.hunt@simponic.xyz>
Date: Mon, 30 Oct 2023 19:07:43 -0600
Subject: hw 5

---
 notes/Oct-27.org | 26 ++++++++++++++++++++++++++
 1 file changed, 26 insertions(+)
 create mode 100644 notes/Oct-27.org

(limited to 'notes/Oct-27.org')

diff --git a/notes/Oct-27.org b/notes/Oct-27.org
new file mode 100644
index 0000000..6d23576
--- /dev/null
+++ b/notes/Oct-27.org
@@ -0,0 +1,26 @@
+Use a bisection criterion for a start
+
+Hybrid Method: combine Bisection and Higher Order Method:
+- Newton's Method
+- Secant Method (Newton's method with secant approx.)
+
+
+#+BEGIN_SRC c
+fa = f(a)
+fb = f(b)
+if (fa * fb >= 0) return
+
+error = 10 * tol
+iter = 0
+
+while (error > tol && iter < maxiter) {
+x0 = 0.5 * (a + b)
+x1 = x0 - f(x0) / f'(x0)
+if (abs(x1 - x0) > 0.5 * (b - a)) {
+// do bisection
+} else{
+// do newton's method
+}
+}
+#+END_SRC
+
-- 
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