T.L. Hill's graphical method for solving linear equations

T. L. Hill's method for solving homogeneous linear equations by tree enumeration is presented in standard mathematical language and extended to nonhomogeneous systems. It is also shown how Hill's method implies the matrix-tree theorem and the Wang algebra of electrical networks.

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in applied mathematics 1982-12, Vol.3 (4), p.377-383
Hauptverfasser:	Caplan, S. Roy, Zeilberger, Doron
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	T. L. Hill's method for solving homogeneous linear equations by tree enumeration is presented in standard mathematical language and extended to nonhomogeneous systems. It is also shown how Hill's method implies the matrix-tree theorem and the Wang algebra of electrical networks.
ISSN:	0196-8858 1090-2074
DOI:	10.1016/S0196-8858(82)80011-0