distance and positive definite matrices

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1 total messages Started by Hossein Tahani Mon, 12 Oct 1992 13:15

#617

Author: Hossein Tahani
Date: Mon, 12 Oct 1992 13:15

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Hi :
Let x and m be points in n dimensional Euclidean sapce and A be a
positive definite matrix. Then, one can define the distance between
x and m, d(x,m) = (x-m) A (x-m)^t, where ^t denotes the transpose of
of the vector. I have two questions :
 
1. How can I generate the positive definie matrix A?
 
2. What is the (geometric) interpretation of distance between x and m
   when using different matrix A ?
 
Please e-mail your replies. Thanks for your time and effort.
 
Hossein Tahani
ccmahtaj@MIZZOU1.missouri.edu

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