Matricial norms: some applications and open questions

• Vitória , José ^[1]
  1. [1] Universidade de Coimbra

     Universidade de Coimbra

     Coimbra (Sé Nova), Portugal

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 22, 1980, págs. 317-321
• Idioma: inglés
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• Resumen

  • "We mentíon some theoretical aspects of matricial norms, including some recent developments [Robert, Deutsch, Bauer, Barker, Meixner, Coimbra]. Then we refer several applications of matricial norms : convergence of iterative procedures, weak contraction in vectorial norm/fixed point questions [Robert]; approximation in v-metric spaces [Coimbra]; localization of zeros of polynomials [Deutsch, Vitória]; bounds for latent roots of lambda-matrices [Vitória]; vibrating systems [Climaco+Vitória]; lower bounds of linear mappings [Bode]. Finally, we include some open questions concerning both theoretical and practical aspects. "