Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2004
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2004

[Date Index] [Thread Index] [Author Index]

Search the Archive

Difference between scalar and vector inequality!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52276] Difference between scalar and vector inequality!
  • From: "Sungjin Kim" <kimsj at mobile.snu.ac.kr>
  • Date: Sat, 20 Nov 2004 03:41:53 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

The following inequality under given condition is true for scalar. However,
is this still true for matrix?

log| I + A + C| >= log| I + B + C|
if log| I + A| >= log| I + B| and A, B, C >= 0
where |A| is absolute and determinant for scalar and matrix, respectively,
and A >= 0 means semi positive scalar or semi positive definite matrix,
respectively.

Furthermore, is it possible to prove it using our Mathematica?
Thank you in advance.

Br,
- Sungjin Kim
communication at samsung.com 
kimsj at mobile.snu.ac.kr 


  • Prev by Date: "+ -" in an output line?
  • Next by Date: Re: Newly Released Mathematica 5.1 Delivers Unmatched Performance for Handling Data
  • Previous by thread: Re: "+ -" in an output line?
  • Next by thread: Re: Difference between scalar and vector inequality!