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#1 2012-09-13 10:05:37

limpfisch
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Householder transformation?

Perform a householder transformation followed by a plane rotation to trasform the following matrix A into an upper triangular matrix R.

A= 4 3 0
     4 3 6
     2 6 5

This is not covered in my textbook sad

#2 2012-09-13 11:36:50

bobbym
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Re: Householder transformation?

Hi limpfisch;

I thought a householder transformation was only for symmetric matrices.

A househoulder transformation is designed to produce a tridiagonal matrix that has the same eigenvalues as the original matrix. Usually a QR is performed on it afterwards. Anyway, this is a lot of computation and is best done by a computer.

Or did you mean a householder matrix?


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

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