M Macgill
Biographic Data
| ID | 1473878 |
|---|---|
| NAME | M Macgill |
| GIVEN NAMES | M |
| FAMILY NAME | Macgill |
| SIGNATURE | MACGILL M |
| VERIFIED | No |
| TOTAL WORKS | 7 |
| TOTAL CITATIONS | 14 |
| AUTHOR COUNT | 7 |
| EDITOR COUNT | 0 |
| FIRST PUBLICATION YEAR | 1977 |
| LATEST PUBLICATION YEAR | 1990 |
| H-INDEX | 2 |
Commentary
Commentary
Structural Analysis of Social Data: A Guide to Ho's Galois Lattice Approach and a Partial Respecification of Q-Analysis
A pedagogic exposition of Ho's Galois lattice approach for analysing social data is given in this paper. This provides a basis for respecifying Atkin's Q-analysis in a way that is believed to be more powerful, more economical, and accessible to a wider audience. Concepts of traffic and eccentricity are reexamined, but more generally, the suggested respecification may enhance the utility of Q-analysis and broaden its applicability, while remaining…
Optimization in Locational and Transport Analysis
Convergence and Related Properties for a Modified Biproportional Matrix Problem
This paper establishes the convergence of iterative routines for matrix balancing in which some row and some column totals must equal prespecified positive numbers. This balancing procedure is called a modified biproportional problem. Applications of the procedure are cited, various theoretical properties discussed, and its relationship with the full biproportional problem, treated in an earlier paper (Macgill, 1977a), is noted
Simple Hybrid Input-Output Models: A Graphical Approach
It is shown how the familiar Leontief input-output model, and the less familiar supply driven input-output model, may be formulated in terms of weighted digraph analysis. The two models concerned have hitherto been used essentially independently of each other with apparently no simple framework within which they can be combined. The graphical analysis presented below, however, enables them to be combined within a single framework, thus forming a …
Theoretical Properties of Biproportional Matrix Adjustments
The basic uniqueness and existence properties of biproportional matrix solutions are reviewed and a direct and constructive proof of the convergence of an iterative routine commonly adopted to adjust a given nonnegative matrix to produce a second matrix (biproportional to the first), whose row and column sums are given strictly positive numbers, is offered. Existing convergence proofs, most of which are limited to particular cases of the present …
Theoretical Properties of Biproportional Matrix Adjustments
The basic uniqueness and existence properties of biproportional matrix solutions are reviewed and a direct and constructive proof of the convergence of an iterative routine commonly adopted to adjust a given nonnegative matrix to produce a second matrix (biproportional to the first), whose row and column sums are given strictly positive numbers, is offered. Existing convergence proofs, most of which are limited to particular cases of the present …
Convergence and Related Properties for a Modified Biproportional Matrix Problem
This paper establishes the convergence of iterative routines for matrix balancing in which some row and some column totals must equal prespecified positive numbers. This balancing procedure is called a modified biproportional problem. Applications of the procedure are cited, various theoretical properties discussed, and its relationship with the full biproportional problem, treated in an earlier paper (Macgill, 1977a), is noted
Structural Analysis of Social Data: A Guide to Ho's Galois Lattice Approach and a Partial Respecification of Q-Analysis
A pedagogic exposition of Ho's Galois lattice approach for analysing social data is given in this paper. This provides a basis for respecifying Atkin's Q-analysis in a way that is believed to be more powerful, more economical, and accessible to a wider audience. Concepts of traffic and eccentricity are reexamined, but more generally, the suggested respecification may enhance the utility of Q-analysis and broaden its applicability, while remaining…
Simple Hybrid Input-Output Models: A Graphical Approach
It is shown how the familiar Leontief input-output model, and the less familiar supply driven input-output model, may be formulated in terms of weighted digraph analysis. The two models concerned have hitherto been used essentially independently of each other with apparently no simple framework within which they can be combined. The graphical analysis presented below, however, enables them to be combined within a single framework, thus forming a …
Theoretical Properties of Biproportional Matrix Adjustments
The basic uniqueness and existence properties of biproportional matrix solutions are reviewed and a direct and constructive proof of the convergence of an iterative routine commonly adopted to adjust a given nonnegative matrix to produce a second matrix (biproportional to the first), whose row and column sums are given strictly positive numbers, is offered. Existing convergence proofs, most of which are limited to particular cases of the present …
Convergence and Related Properties for a Modified Biproportional Matrix Problem
This paper establishes the convergence of iterative routines for matrix balancing in which some row and some column totals must equal prespecified positive numbers. This balancing procedure is called a modified biproportional problem. Applications of the procedure are cited, various theoretical properties discussed, and its relationship with the full biproportional problem, treated in an earlier paper (Macgill, 1977a), is noted
Optimization in Locational and Transport Analysis
Structural Analysis of Social Data: A Guide to Ho's Galois Lattice Approach and a Partial Respecification of Q-Analysis
A pedagogic exposition of Ho's Galois lattice approach for analysing social data is given in this paper. This provides a basis for respecifying Atkin's Q-analysis in a way that is believed to be more powerful, more economical, and accessible to a wider audience. Concepts of traffic and eccentricity are reexamined, but more generally, the suggested respecification may enhance the utility of Q-analysis and broaden its applicability, while remaining…
Commentary
Commentary
Computer Science (4 works) · Mathematics (4 works) · Algorithm (2 works) · Applied Mathematics (2 works) · Economics (2 works) · Geometry (2 works) · Mathematical optimization (2 works) · Matrix Theory and Algorithms (2 works) · Philosophy (2 works) · Psychology (2 works)