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Matrix transformation and inequality

  • Thread starter hayu601
  • Start date
  • #1
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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?
 

Answers and Replies

  • #2
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
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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?
What do you mean by Y < Z for two matrices Y and Z?

RGV
 
  • #3
8
0
A < B means that (B-A) > 0 or (B-A) is positive definite
 
  • #4
Zondrina
Homework Helper
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Are you referring to A and B as matricies?
 

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