On the compatibility of approximate solution of linear equations with given error bounds for coefficients and right sides.

  • LA Fakande
  • IF Arunaye


In the consideration of solutions to systems of linear equations with inaccuracies in their entries, Oettli and Prager (1964) [1] considered extraction of approximate solution to modified systems with various residues, and established the error tolerance for coefficients and right – hand sides. This paper applied the condition number and relative error principles of Kreyszig (1999) [2] and Kopchenova and Maron (1984) [3] to establish conditions for exact solutions to modified systems of linear equations (1.4) discussed by Oettli and Prager (1964) [1].

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 265-268