This paper describes a generalization of the inverse of a non-singular matrix, as the unique solution of a certain set of equations. This generalized inverse exists for any (possibly rectangular) matrix whatsoever with complex elements. It is used here for solving linear matrix equations, and among other applications for finding an expression for the principal…
Mathematical Proceedings of the Cambridge Philosophical Society Template
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About the Mathematical Proceedings of the Cambridge Philosophical Society format
Mathematical Proceedings of the Cambridge Philosophical Society is a peer-reviewed journal published by Cambridge University Press, covering Diverse Scientific and Economic Studies, Homotopy and Cohomology in Algebraic Topology, Geometric and Algebraic Topology.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Mathematical Proceedings of the Cambridge Philosophical Society 12 (2023) 45–58.
Formats any DOI in the closest standard style — Mathematical Proceedings of the Cambridge Philosophical Society has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Diverse Scientific and Economic Studies Homotopy and Cohomology in Algebraic Topology Geometric and Algebraic Topology Algebraic Geometry and Number Theory Advanced Topics in Algebra |
| ISSN | 0305-0041 |
| Citation impact (2-yr) | 0.3 |
| h-index | 176 |
| i10-index | 3,526 |
| Total citations | 234,073 |
| Top institutions publishing here | University of Cambridge |
| Journal website | journals.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Mathematical Proceedings of the Cambridge Philosophical Society
Summary The limiting distribution, when n is large, of the greatest or least of a sample of n , must satisfy a functional equation which limits its form to one of two main types. Of these one has, apart from size and position, a single parameter h , while the other is the limit to…
This paper is concerned with methods of evaluating numerical solutions of the non-linear partial differential equation where subject to the boundary conditions A, k, q are known constants. Equation (1) is of the type which arises in problems of heat flow when there is an internal generation of heat within the medium; if the heat…
For dealing with atoms involving many electrons the accurate quantum theory, involving a solution of the wave equation in many-dimensional space, is far too complicated to be practicable. One must therefore resort to approximate methods. The best of these is Hartree's method of the self-consistent field. Even this, however, is hardly practicable when one has…
An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the distribution functions of the complete set of dynamical variables specifying a mechanical system (phase-space distributions), which are fundamental in any form of statistical…