📄 power_out.mht

📁 it is a very essential matlab code.

💻 MHT

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Date: Tue, 12 May 2009 09:56:36 -0700
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
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<BODY><PRE>=BB power

A =3D  2    -1     0     0          y =3D  1
    -1     2    -1     0               0
     0    -1     2    -1               0
     0     0    -1     2               0

Power Method Demonstration
Determine highest (1) or lowest (2) eigenvalue: 1

# 1 Lambda =3D 2.000000 Error =3D 50.000000
# 2 Lambda =3D 2.500000 Error =3D 20.000000
# 3 Lambda =3D 2.800000 Error =3D 10.714286
# 4 Lambda =3D 3.000000 Error =3D 6.666667
# 5 Lambda =3D 3.142857 Error =3D 4.545455
# 6 Lambda =3D 3.250000 Error =3D 3.296703

# 19 Lambda =3D 3.621001 Error =3D -0.031430
# 20 Lambda =3D 3.620179 Error =3D -0.022703
# 21 Lambda =3D 3.619585 Error =3D -0.016407
# 22 Lambda =3D 3.619156 Error =3D -0.011861
# 23 Lambda =3D 3.618846 Error =3D -0.008577

Highest eigenvalue is 0.381975

=BB power

Power Method Demonstration
Determine highest (1) or lowest (2) eigenvalue: 2

# 1 Lambda =3D 0.800000 Error =3D -25.000000
# 2 Lambda =3D 2.000000 Error =3D 60.000000
# 3 Lambda =3D 2.550000 Error =3D 21.568627
# 4 Lambda =3D 2.588235 Error =3D 1.477273
# 5 Lambda =3D 2.608333 Error =3D 0.770532
# 6 Lambda =3D 2.615161 Error =3D 0.261088
# 7 Lambda =3D 2.617215 Error =3D 0.078456
# 8 Lambda =3D 2.617804 Error =3D 0.022519
# 9 Lambda =3D 2.617970 Error =3D 0.006337

Lowest eigenvalue is 0.381975

=BB sort(eig(A))

ans =3D

    0.3820
    1.3820
    2.6180
    3.6180

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