Chapter Two Numerical Solution of Systems of Linear
In this chapter, we consider the linear system
Ax = b .
where A = (aij )n =1 is an n n matrix and b is an n-dimensional vector. We always assume
that A is nonsingular, i.e., det(A)
for Numerical Methods (MA5625)
Chapter One Numerical Solution of Nonlinear
This chapter is devoted to the problem of locating roots of equations(or zeros of functions). The problem occurs frequently in s
Assignment 1 (MA5625)
Q1. Give a formula involving a0 , b0 , and for the number of steps that should be taken
in the bisection algorithm to ensure that the root is determined with relative precision .
Assume a0 > 0.
Q2. Write and test a subprogram to impl
Assignment #3 (MA5625)
1 1 0
0 3 1
and A l , l = 1, 2, , respectively.
Q2. Let x be an m-vector and A be an n m matrix. Show that
(i) 1m x x 2 m x ,
(ii) 1m A A 2 n A .
Q3. Let A be a square matrix. P