This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: guess ~x = [1 , 1 , 1 , 1 , 1] t . 3 3. (25 pts) Consider A~x = ~ b where A = ± a b c d ² . (a) Find conditions on bc/ad such that Jacobi method will converge for any initial guess. (b) Find conditions on bc/ad such that GaussSeidel method will converge for any initial guess. 4 4. (25 pts) Let p ( x ) be the polynomial of least degree interpolating the data points x1 12 y 6 1 2 17 (a) Write out the Lagrange form for p ( x ). (b) Write out the Newton form for p ( x ). 5...
View
Full
Document
This note was uploaded on 10/17/2010 for the course MATH 174 taught by Professor Staff during the Spring '08 term at UCSD.
 Spring '08
 staff
 Math

Click to edit the document details