June 2015
Intermediate to advanced
259 pages
6h 51m
English
Content preview from Introduction to Computational Linear Algebra
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Basic Concepts for Matrix Computations 47
0.0608 0 0
0 48.6105 0
0 0 368.3287
>> [Q1,D1]=eig(A’*A)
Q1 =
0.7653 0.5205 0.3786
-0.6436 0.6273 0.4386
-0.0092 -0.5793 0.8151
D1 =
0.0608 0 0
0 48.6105 0
0 0 368.3287
>> Q=Q(:,[3 2 1])
Q =
0.4480 0.2499 0.8584
0.7031 0.4945 -0.5109
0.5522 -0.8324 -0.0458
>> Q1=Q1(:,[3 2 1])
Q1 =
0.3786 0.5205 0.7653
0.4386 0.6273 -0.6436
0.8151 -0.5793 -0.0092
>> D=D([3 2 1],[3 2 1])
D =
368.3287 0 0
0 48.6105 0
0 0 0.0608
>> D1=D1([3 2 1],[3 2 1])
D1 =
368.3287 0 0
0 48.6105 0
0 0 0.0608
2.4 Matrix Norms
Let A ∈ K
m×n
= {a
ij
, 1 ≤ i ≤ m, 1 ≤ j ≤ n}, where K is R or C. A
matrix norm is defined by the following properties:
Definition 2.15 A matrix norm on ...
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