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Power method and inverse, Slides of Computer Science

Pennsylvania State University - YorkComputer Science

Write computer code and implement (1)the power method; (2) the symmetric power method; (3) the symmetric inverse-power method. Test the methods on the following matrix,

Typology: Slides

2019/2020

Uploaded on 02/19/2020

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benson-kamau 🇺🇸

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Math456/CMPSC456 Homework 5
Due Feb 19 2020
1. (10 points) 9.3.1 a.
2. (10 points) 9.3.5 a.
3. (20 points) Computer project: Write computer code and implement (1)
the power method; (2) the symmetric power method; (3) the symmetric
inverse-power method. Test the methods on the following matrix,
4 1 1 1
1 3 −1 1
1−120
1 1 0 2
.
Use tolerance 10−5and ~x0= (1,0,0,0)T. Show the approximate eigen-
values from the iterations.
1

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Math456/CMPSC456 Homework 5

Due Feb 19 2020

  1. (10 points) 9.3.1 a.
  2. (10 points) 9.3.5 a.
  3. (20 points) Computer project: Write computer code and implement (1) the power method; (2) the symmetric power method; (3) the symmetric inverse-power method. Test the methods on the following matrix,

   

   

Use tolerance 10−^5 and ~x 0 = (1, 0 , 0 , 0)T^. Show the approximate eigen- values from the iterations.