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Some Extensions of the class of K-matrices: A Survey and Some Economic Applications

Author

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  • Giorgio Giorgi

    (Department of Economics and Management, University of Pavia)

  • Cesare Zuccotti

    (Department of Economics and Management, University of Pavia)

Abstract

In this paper we take in to considerations some classes of matrices which are generalizations of the class of K-matrices, in the terminology of Fielder and Ptàk (1962). We study the hierarchy and inclusion relations between the classes considered and we point out some economic applications

Suggested Citation

  • Giorgio Giorgi & Cesare Zuccotti, 2014. "Some Extensions of the class of K-matrices: A Survey and Some Economic Applications," DEM Working Papers Series 075, University of Pavia, Department of Economics and Management.
    • Handle: RePEc:pav:demwpp:demwp0075
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    File URL: http://dem-web.unipv.it/web/docs/dipeco/quad/ps/RePEc/pav/demwpp/DEMWP0075.pdf
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    References listed on IDEAS

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    4. Chipman, John S, 1969. "Factor Price Equalization and the Stolper-Samuelson Theorem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 399-406, October.
    5. Okuguchi, Koji, 1978. "Matrices with dominant diagonal blocks and economic theory," Journal of Mathematical Economics, Elsevier, vol. 5(1), pages 43-52, March.
    6. Uekawa, Yasuo & Kemp, Murray C. & Wegge, Leon L., 1973. "P- and PN-matrices, Minkowski- and Metzler- matrices, and generalizations of the Stolper- Samuelson and Samuelson-Rybczynski theorems," Journal of International Economics, Elsevier, vol. 3(1), pages 53-76, February.
    7. Peris, Josep E & Villar, Antonio, 1993. "Linear Joint-Production Models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 735-742, October.
    8. Wolfgang F. Stolper & Paul A. Samuelson, 1941. "Protection and Real Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 58-73.
    9. Inada, Ken-ichi, 1971. "The Production Coefficient Matrix and the Stolper-Samuelson Condition," Econometrica, Econometric Society, vol. 39(2), pages 219-239, March.
    10. De Giuli, M.E., Magnani, U. & Moglia, P., 1994. "Some remarks on matrices with dominant diagonal," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 5(2), pages 141-151.
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    Cited by:

    1. Giorgio Giorgi, 2022. "Nonsingular M-matrices: a Tour in the Various Characterizations and in Some Related Classes," DEM Working Papers Series 206, University of Pavia, Department of Economics and Management.

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    More about this item

    Keywords

    K-matrices; M-matrices; S-matrices; P-matrices; dominant diagonal matrices; stabiliy matrices; linear economic models.;
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