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Mathematik-Online problems:

Problem 542: Matlab-Program: Normal Form of Quadrics

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Write a MATLAB-program
[lambda,beta,gamma,U,v] = normalform(A,b,c),
which determines the transformation $ x=Uy+v$ of a quadric

$\displaystyle x^{\operatorname t}A x+2b^{\operatorname t}x+c=0 $

into the normal form

$\displaystyle \sum\limits_{i=1}^k \left(\lambda_iy_i^2\right) +2\beta y_{k+1}+\gamma=0 \ . $

(Authors: Hörner/Höfert)

see also:

  automatisch erstellt am 14. 10. 2004