Lecture 11

# Lecture 11 - Lecture 11 Solving equations BMEn 2401...

This preview shows pages 1–5. Sign up to view the full content.

11/23/2010 1 Lecture 11: Solving equations BMEn 2401 Programming for Biomedical Engineers Rich Beck November 23, 2010 1 Today’s Lecture Linear equations Nonlinear equations Ordinary differential equations Partial differential equations BONUS: Polynomial regression Curve fitting of data points polyval polyfit

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
11/23/2010 2 Solving linear equations A simple case: ax = b a, b are known scalars and x is the unknown scalar) x = b/a 3 Solving linear equations If we have a system of linear equations, a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 a 33 x 1 + a 32 x 2 + a 33 x 3 = b 3 Ax = b , A = a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 , x = x 1 x 2 x 3 , b = b 1 b 2 b 3 4 we can express it in matrix format:
11/23/2010 3 Solving linear equations Previously, we learned: Ax = b A -1 Ax = A -1 b Ix = A -1 b x = A -1 b While this method is mathematically correct, we almost never use it when solving linear equations. 5 Solving linear equations What are the options? Direct methods Gauss elimination Iterative methods Gauss-Seidel MATLAB \ and / operators 6 For more on linear eqns in MATLAB: http://www.mathworks.com/moler/lu.pdf

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
11/23/2010 4 Solving linear equations MATLAB \ and / operators are used to calculate the solution to linear systems. MATLAB checks the coefficient matrix and finds the
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 12

Lecture 11 - Lecture 11 Solving equations BMEn 2401...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online