A paper by Shier (J. Res NBS 80B) shows how to partition the graph of a matrix into a tree so as to minimize the number of operations required to invert the matrix. The present paper shows how to economically solve a sparse system of linear equations after the application of Shier's method to the coefficient matrix.
Pablo García-RisueñoPablo Echenique
Robert K. BraytonFred G. GustavsonRalph A. Willoughby
Robert K. BraytonFred G. GustavsonRalph A. Willoughby