MathJax

Friday, December 28, 2012

Properties of a positive definite matrix

Just found out some interesting properties about positive definite matrices.

Given an Hermitian matrix M

  • The eigenvalues of M is strictly positive.
  • It is the Gram matrix of linearly independent vectors.
  • It has a Cholesky decomposition. M = M' = L' * L = H' * H.  Where L is a triangular matrix with strictly positive diagonal elements.

Sunday, October 07, 2012

Monday, September 24, 2012

Ideal parent of a high reactive child

Quoted from Quiet: The power of introverts in a world that can't stop talking

Someone who can read your cues and respect your individuality; is warm and firm in placing demands on you without being harsh or hostile; promotes curiosity, academic achievement, delayed gratification, and self-control; and is not harsh, neglectful, or inconsistent.


Wednesday, August 29, 2012

Sunday, August 26, 2012

Paper from Todd Veldhuizen

This is a nice summary of techniques used in the development of Blitz++
Techniques for Scientific C++