Matrix transformation and inequality

hayu601
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Homework Statement



Suppose U and V are unitary matrix, A and B are positive definite,

Does:

UAU-1 < VBV-1

implies A < B

and vice versa?
 
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hayu601 said:

Homework Statement



Suppose U and V are unitary matrix, A and B are positive definite,

Does:

UAU-1 < VBV-1

implies A < B

and vice versa?

What do you mean by Y < Z for two matrices Y and Z?

RGV
 
A < B means that (B-A) > 0 or (B-A) is positive definite
 
Are you referring to A and B as matricies?
 

Thread 'Finding the nth roots of a complex number'

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