Cayley transform (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Cayley transform" in English language version.

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Rudin 1991, p. 356-357 §13.17. Rudin, Walter (1991). Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277.

Gallier, Jean (2006). "Remarks on the Cayley Representation of Orthogonal Matrices and on Perturbing the Diagonal of a Matrix to Make it Invertible". arXiv:math/0606320.
As described by Gallier, the first of these results is a sharpened variant of Weyl, Hermann (1946). The Classical Groups (2nd ed.). Princeton University Press. Lemma 2.10.D, p. 60.

The second appeared as an exercise in Bellman, Richard (1960). Introduction to Matrix Analysis. SIAM Publications. §6.4 exercise 11, p. 91–92.

Rudin 1991, p. 356-357 §13.17. Rudin, Walter (1991). Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277.