Theoretical Properties of Biproportional Matrix Adjustments
Bibliographic Data
| ID | 4138757 |
|---|---|
| Authors | M Macgill, S M Macgill (University of Leeds, corresponding author) |
| Year | 1977 |
| Volume | 9 |
| Issue | 6 |
| Pages | 687-701 |
| Publication date | 1977-06-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a090687 |
| OpenAlex | W2076557502 |
| Language | EN |
| Citations received | 16 |
| References cited | 17 |
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 form, are considered
Algebra over a field · Constructive · Economics · Mathematical analysis · Mathematical economics · Mathematical optimization · Mathematical proof · Pure mathematics · Uniqueness · Advanced Optimization Algorithms Research · Computer Science · graph theory and CDMA systems · Mathematics · Matrix Theory and Algorithms · Applied Mathematics
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| Unique citing works | 16 |
|---|---|
| Citations per year | 0,33 |
| Citation span | 1978 - 2016 (39) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 13 |