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On the multiplicative inverse eigenvalue problem

    1. [1] Universidad Católica del Norte

      Universidad Católica del Norte

      Antofagasta, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 7, Nº. 15, 1988, págs. 1-20
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1988.0015.00001
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  • Resumen
    • An important inverse eigenvalue problem is the problem of finding a density q(x) such that the operator  , with the appropriate boundary conditions, possesses o prescribed spectrum, that is, the inverse vibrating string problem.

  • Referencias bibliográficas
    • Citas 1. Biegler-Konig, F. W. Sufficient Conditions for the Solvability of Inverse Eigenvalue Problems. Linear Algebra and it Applications...
    • De Oliveira, G. N. On the Multiplicative Inverse Eigenvalue Problem. Canadian Math. Bulletin 15: 189-193, 1972.
    • Dios da Silva, J.A. On the Multiplicative Inverse Eigenvalue Problem. Linear Algebra and its Applications 78: 133-145, 1986.
    • Downing, A. C. Jr. and Householder, A. S. Some Inverse Characteristic Value Problem. Journal Assoc. for Computing Machinery 3: 203-207, 1956.
    • Friedland, S. On Inverse Multiplicative Eigenvalue Problems for Matrices. Linear Algebra and its Applications 12: 127-137, 1975.
    • Hadeler, K. P. Multiplikative Inverse Eigenwertprobleme. Linear Algebra and i ts Appl. 2: 65-86, 1969.
    • Marcus, M. and Minc, H. A Survey of Matrix Theory and Matrix Inequalities. Allyn and Bacon, Boston, 1964.
    • Soto, R. On Matrix Inverse Eigenvalue Problems. Ph.D. Dissertation. New Mexico State University, U.S.A., 1987.
    • Wilkinson, J. H. The algebraic Eigenvalue Problem. Oxford University Press, London, 1965.

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