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In linear algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes a reflection about a plane or hyperplane containing the origin. The Householder transformation was used in a 1958 paper by Alston Scott Householder. [1]
A Householder reflection (or Householder transformation) is a transformation that takes a vector and reflects it about some plane or hyperplane. We can use this operation to calculate the QR factorization of an m-by-n matrix with m ≥ n. Q can be used to reflect a vector in such a way that all coordinates but one disappear.
Harriet Fasenfest (born 1953) [1] is an American writer, urban gardener, and food preservation educator in Portland, Oregon.A former owner/operator of several restaurants and cafes, she uses the term "householding" when referring to the practice of home food growing, canning and storage.
For dense matrices, the left and right unitary matrices are obtained by a series of Householder reflections alternately applied from the left and right. This is known as Golub-Kahan bidiagonalization.
This is a reflection in the hyperplane perpendicular to v (negating any vector component parallel to v). If v is a unit vector, then Q = I − 2vv T suffices. A Householder reflection is typically used to simultaneously zero the lower part of a column. Any orthogonal matrix of size n × n can be constructed as a product of at most n such ...
She and her husband were arrested in March 2021 for conduct that allegedly occurred at the Cedar County school near Humansville in southwest Missouri. Boyd Householder faces 78 felony charges ...
Alston Scott Householder (5 May 1904 – 4 July 1993) was an American mathematician who specialized in mathematical biology and numerical analysis. He is the inventor of the Householder transformation and of Householder's method .
Charged 16 months ago with nearly 100 felony counts of child crimes, Boyd and Stephanie Householder aren’t scheduled for trial until the end of 2023. Trial date set for former owners of Missouri ...