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Math Help - QR Decomposition

  1. #1
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    QR Decomposition

    I have a matrix consisting of two square matrices A & B

    <br />
C = \begin {pmatrix} A \\ B \end{pmatrix}<br />

    and I want to perform QR decomposition on C, to obtain it's upper triangular factorization.

    My question is, is it possible to perform QR decomposition on matrices A & B seperately, and somehow still obtain the upper triangular factorization of C?
    Last edited by Superfish; May 11th 2010 at 07:59 PM.
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  2. #2
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    Quote Originally Posted by Superfish View Post
    I have a matrix consisting of two square matrices A & B

    <br />
C = \begin {pmatrix} A \\ B \end{pmatrix}<br />

    and I want to perform QR decomposition on C, to obtain it's upper triangular factorization.

    My question is, is it possible to perform QR decomposition on matrices A & B seperately, and somehow still obtain the upper triangular factorization of C?
    I may not understand what you mean but R is always upper triangular.
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  3. #3
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    Quote Originally Posted by dwsmith View Post
    I may not understand what you mean but R is always upper triangular.
    Sorry, i think you misunderstood.

    I want to get the R matrix of C by performing QR decomposition on the square A and B matrices seperately.
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  4. #4
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    So C is related to A and B via a binomial?
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  5. #5
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    Quote Originally Posted by dwsmith View Post
    So C is related to A and B via a binomial?
    No, C is just matrix A stacked on top of matrix B. Wasn't sure what the latex command is for square brackets.
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