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QR-Decomposition of Arbitrary Matrices by maxxagain is a document available to read on EtoBox.

The document describes the QR decomposition method for decomposing a matrix A into orthogonal matrix Q and upper triangular matrix R using Householder reflections. It begins by introducing orthogonal reflections and projections. It then states that any set of vectors can be transformed into an upper triangular form using a sequence of Householder reflections, proving that every matrix has a QR decomposition. It provides details on computing the decomposition by zeroing out subdiagonals of A using Householde

Author
maxxagain
Language
EN