projection matrix
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[edit]Noun
[edit]projection matrix (plural projection matrices)
- (linear algebra) A transformation matrix whose associated transformation is a projection.
- 2006, H. Watari, Y. Shimoyama, Chapter 5: Density Matrix Formalism of Angular Momentum in Multi-Quantum Magnetic Resonance, Christopher J. Bender, Lawrence Berliner (editors, Computational and Instrumental Methods in EPR, Springer, page 191,
- The resultant eigenvalues of the angular momentum are independent of direction, but the projection matrices are dependent.
- 2012, Jan Erik Solem, Programming Computer Vision with Python, O'Reilly, page 91:
- We use the GLU utility function
gluPerspective()
to set the projection matrix and define the whole image to be the view port (essentially what is to be shown).
- 2006, H. Watari, Y. Shimoyama, Chapter 5: Density Matrix Formalism of Angular Momentum in Multi-Quantum Magnetic Resonance, Christopher J. Bender, Lawrence Berliner (editors, Computational and Instrumental Methods in EPR, Springer, page 191,
- (statistics) A matrix that maps a vector of response (dependent variable) values to a vector of fitted or predicted values.
- 1999, Terrance J. Quinn II, Richard B. Deriso, Quantitative Fish Dynamics, Oxford University Press, page 372:
- Caswell (1989) pointed out that most linear stage-structured models have both primitive and irreducible projection matrices. […] The projection matrix M shown in the table is then calculated as PS + R.
- 2013, John H. Vandermeer, Deborah E. Goldberg, Population Ecology: First Principles, 2nd edition, Princeton University Press, page 62:
- We then turn to applications of population projection matrices both for natural resource management and for conservation.
Synonyms
[edit]- (statistics): influence matrix, hat matrix, transition matrix (in a stochastic process)
Translations
[edit](linear algebra)
(statistics)
Further reading
[edit]- (linear algebra):
- Transformation matrix on Wikipedia.Wikipedia
- Projection (linear algebra) on Wikipedia.Wikipedia
- (statistics):
- Mean and predicted response on Wikipedia.Wikipedia