The Solution of Simultaneous Equations  

Oleh:

Dwyer, P. S.

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 6 no. 2 (Apr. 1941), page 101-129.
Topik: Simultaneous Equations; Related Equations; Groups of Equations
Fulltext: The Solution of Simultaneous Equations.pdf (1.15MB)

Isi artikel

This paper is an attempt to integrate the various methods which have been developed for the numerical solution of simultaneous linear equations. It is demonstrated that many of the common methods, including the Doolittle Method, are variations of the method of “single division.” The most useful variation of this method, in case symmetry is present, appears to be the Abbreviated Doolittle method. The method of multiplication and subtraction likewise can be abbreviated in various ways of which the most satisfactory form appears to be the new Compact method. These methods are then applied to such problems as the solution of related equations, the solution of groups of equations, and the evaluation of the inverse of a matrix.

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