CYCLE PRODUCTS AND EFFICIENT VECTORS IN RECIPROCAL MATRICES¿

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Susana Borges Furtado (Author) FEP; Johnson, CR (Author) Other

Journal

Title: Electronic Journal of Linear Algebra

Vol. 40

Pages: 538-550

ISSN: 15379582

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-012-P73

DOI: 10.13001/ela.2024.8543

Abstract (EN): We focus on the relationship between Hamiltonian cycle products and efficient vectors for a reciprocal matrix A, to more deeply understand the latter. This facilitates a new description of the set of efficient vectors (as a union of convex subsets), greater understanding of convexity within this set and of order reversals in efficient vectors. A straightforward description of all efficient vectors for an n-by-n, column perturbed consistent matrix is given; it is the union of at most (n - 1)(n - 2)/2 convex sets.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13