MHB QR Factorization: Uses & Benefits

Thread starter matqkks
Start date Sep 18, 2012
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Factorization

Sep 18, 2012

matqkks

[h=3]Why are QR factorization useful and important?[/h]

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Sep 18, 2012

Mr Fantastic

matqkks said:

[h=3]Why are QR factorization useful and important?[/h]

http://www4.ncsu.edu/eos/users/w/white/www/white/ma580/chap3.3.PDF

Thread 'The colorful world of ##2\times 2## complex matrices'

The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...

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Thread 'About the existence of Hamel basis for vector spaces'

It is well known that a vector space always admits an algebraic (Hamel) basis. This is a theorem that follows from Zorn's lemma based on the Axiom of Choice (AC). Now consider any specific instance of vector space. Since the AC axiom may or may not be included in the underlying set theory, might there be examples of vector spaces in which an Hamel basis actually doesn't exist ?

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Thread 'When are Markov Matrices also Martingales?'

Are there known conditions under which a Markov Chain is also a Martingale? I know only that the only Random Walk that is a Martingale is the symmetric one, i.e., p= 1-p =1/2.

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MHB QR Factorization: Uses & Benefits

Thread 'The colorful world of ##2\times 2## complex matrices'

Thread 'About the existence of Hamel basis for vector spaces'

Thread 'When are Markov Matrices also Martingales?'

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