Definitions
from the GNU version of the Collaborative International Dictionary of English.
- adjective (Math.) able to be diagonalized; -- of a matrix.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective Able to be
diagonalized .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adjective capable of being transformed into a diagonal matrix
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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Beklemishev et al. (1999)); the logic of explicit proofs (see Artëmov (2001)); applications of provability logic in proof theory (see Beklemishev bimodal provability logics with provability operators for different theories (see Beklemishev (1994, 1996)); and provability algebras, also called diagonalizable algebras or Magari algebras (see Shavrukov (1993, 1997)).
Provability Logic L.C. 2003
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If the elements of the matrices are "disconnected", so that we can isolate certain sub-matrices sub-square, or sub-rectangles, in mathematical language, it is "block-diagonalizable".
Archive 2005-10-01 Sun Bin 2005
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If the elements of the matrices are "disconnected", so that we can isolate certain sub-matrices sub-square, or sub-rectangles, in mathematical language, it is "block-diagonalizable".
Applying 'Game theory' to the Taiwan Strait problem, Google image and Anti-Secession Law Sun Bin 2005
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Chapter 10: Spectral variation of diagonalizable matrices;
AvaxHome RSS: 2009
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This constitutes a very nice way to get a diagonalizable mass matrix from the see-saw mechanism.
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Such a mass matrix is called "form-diagonalizable" since it is diagonalized by the TBM matrix for all values of a, b, d.
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King's answer: form dominance is a general framework for achieving form-diagonalizable elements starting from the see-saw mechanism.
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For technical reasons, the matrix A must be diagonalizable.
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If you encounter one of the unusual exceptions, I suggest checking to make sure that the matrix is diagonalizable.
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"form dominance", a mechanism to achieve a form-diagonalizable effective neutrino mass matrix from the type-I see-saw.
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