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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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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