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单词 Unimodular Matrix
释义

Unimodular Matrix

A Matrix with Integer elements and Determinant det ± 1, also called a UnitMatrix.


The inverse of a unimodular matrix is another unimodular matrix. A Positive unimodular matrix has det. Theth Power of a Positive Unimodular Matrix

(1)

is


(2)

where
(3)

and the are Chebyshev Polynomials of the Second Kind,
(4)

See also Chebyshev Polynomial of the Second Kind


References

Born, M. and Wolf, E. Principles of Optics: Electromagnetic Theory of Propagation, Interference, and Diffraction of Light, 6th ed. New York: Pergamon Press, p. 67, 1980.

Goldstein, H. Classical Mechanics, 2nd ed. Reading, MA: Addison-Wesley, p. 149, 1980.


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