Cophenetic correlation: Difference between revisions

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== Fundamental Matrix in Linear Systems ==
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The fundamental matrix of <math> \dot{x}(t) = A(t) x(t) </math> is the matrix <math> \Psi </math> such that the n columns are linearly independent solutions of <math> \dot{x}(t) = A(t) x(t) </math>.
 
By definition
 
<math>
\dot{\Psi}(t) = A(t) \Psi(t)
</math>
 
i.e. <math> \Psi </math> is a fundamental matrix of  <math> \dot{x}(t) = A(t) x(t) </math> if and only if <math> \dot{\Psi}(t) = A(t) \Psi(t) </math> and <math> \Psi </math> is a non-singular matrix for all <math> t </math>.
<ref>Chi-Tsong Chen. 1998. Linear System Theory and Design (3rd ed.). Oxford University Press, Inc., New York, NY, USA. </ref>
 
==References==
{{Reflist}}
 
A '''fundamental matrix''' may refer to
 
* [[fundamental matrix (computer vision)]]
* [[fundamental matrix (linear differential equation)]]
* [[fundamental matrix (absorbing markov chain)]]
 
{{disambig}}
 
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Latest revision as of 16:23, 7 February 2014

Hello and welcome. My name is Irwin and I completely dig that title. For many years he's been working as a receptionist. One of the issues he enjoys most is ice skating but he is having difficulties to find time for it. Puerto Rico is where he and his spouse reside.

Here is my blog post ... http://carnavalsite.com/

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