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Bordered symmetric square roots of the identity matrix

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Part of the Lecture Notes in Mathematics book series (LNM,volume 560)

Abstract

A method is given for bordering principal minors of infinite matrices which are symmetric and orthogonal to obtain a class of finite matrices with the same properties.

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References

  1. J. Meixner, Umformung gewisser Reihen, deren Glieder Produkte hypergeometrischer Funktionen sind, Deutsche Math., 6 (1941), 341–349.

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  2. C.E.M. Pearce and R.B. Potts, Symmetric square roots of the infinite identity matrix, to appear J. Austral. Math. Soc.

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  3. R.B. Potts, Rational square roots of the identity matrix, to appear Linear Algebra.

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  4. W.E. Roth, A solution of the matric equation P(X)=A, Amer. Math. Soc. Transac., 30 (1928), 579–596.

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© 1976 Springer-Verlag

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Pearce, C.E.M. (1976). Bordered symmetric square roots of the identity matrix. In: Casse, L.R.A., Wallis, W.D. (eds) Combinatorial Mathematics IV. Lecture Notes in Mathematics, vol 560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097379

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  • DOI: https://doi.org/10.1007/BFb0097379

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08053-4

  • Online ISBN: 978-3-540-37537-1

  • eBook Packages: Springer Book Archive