Basic Examples 
(4)
 

Calculate the κ of a matrix w.r.t.
2
-norm:
In[56]:=
[◼]
MatrixConditionNumber
[{{2,1},{4,3}}]
Out[56]=
1
2
(15+
221
)
For a 33 matrix:
In[57]:=
[◼]
MatrixConditionNumber
[{{2,-1,1},{1,0,1},{3,-1,4}}]
Out[57]=
_________________________________________________________________________________________________________________
Condition number computed with machine precision:
In[58]:=
[◼]
MatrixConditionNumber
[{{2.,-1.,1.},{1.,0.,1.},{3.,-1.,4.}}]
Out[58]=
17.493
_________________________________________________________________________________________________________________
Symbolic calculation:
In[59]:=
[◼]
MatrixConditionNumber
[{{a,0},{0,d}}]
Out[59]=
Max
1
aConjugate[a]
,
1
dConjugate[d]
Max
aConjugate[a]
,
dConjugate[d]

_________________________________________________________________________________________________________________
Condition number of a complex matrix:
In[60]:=
[◼]
MatrixConditionNumber
π,
1
3
,{,5}
Out[60]=
235+9
2
π
+
55189-3870
2
π
+81
4
π
3
2(2+450
2
π
)

Scope 
(5)
 


Properties and Relations 
(1)
 
