04: The linear system of equations [2 1 0 x, |1 1 0x, 0 0 2 4 has an exact solution i = (1,2,–1). Find the optimal choice of @=- 1+. for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method. 2.

04: The linear system of equations [2 1 0 x, |1 1 0x, 0 0 2 4 has an exact solution i = (1,2,–1). Find the optimal choice of @=- 1+. for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method. 2.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3BEXP

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04: The linear system of equations
[2 1 0 |x
4
1 1 0x, =| 3
0 0 2 || x,
has an exact solution = (1,2,–1). Find the optimal choice of @=-
1+
for the SOR method with two significant digits rounding. Compute the first two
approximations using the SOR method.

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