One more simple proof of the Craig–Sakamoto theorem

Author:

Carrieu Hervé,Lassère Patrice

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference10 articles.

1. A history of the development of Craig’s theorem;Driscoll;Am. Stat.,1986

2. Le théorème déterminental en bref;Hiriart-Urruty;RMS,2009

3. A simple proof of the Craig–Sakamoto’s theorem;Li;Linear Algebra Appl.,2000

4. On the Craig-Sakamoto’s theorem and Olkin’s determinantal result;Matsuura;Linear Algebra Appl.,2003

5. A history of the development of Craig–Sakamoto’s theorem from Japanese standpoint;Ogawa;Proc. Ann. Inst. Stat. Math.,1993

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1. A reformulation of the criteria for the independence of quadratic functions in normal variables;Communications in Statistics - Theory and Methods;2018-01-23

2. On the independence of linear and quadratic forms in normal variates;Communications in Statistics - Theory and Methods;2017-05-08

3. Orthogonal sets of normal or conjugate-normal matrices;Linear Algebra and its Applications;2015-10

4. On a Craig–Sakamoto Theorem for Orthogonal Projectors;Empirical Economic and Financial Research;2014-10-14

5. A simple proof of the generalized Craig–Sakamoto theorem;Linear Algebra and its Applications;2012-08

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