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XV.—Matrices and Continued Fractions, II
Published online by Cambridge University Press: 15 September 2014
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This communication is a sequel to a former work (Proc. Roy. Soc. Edin., vol. liii, 1933, pp. 151–163). An explicit, and apparently new, form is given for the rational reduction of a matrix to diagonal form, applicable to symmetric matrices and also to continuants. An account follows which co-ordinates several existent theories of generalized continued fractions, and concludes with a few determinantal theorems as corollaries.
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