Remarks on algorithm 352 [S22], algorithm 385 [S13], algorithm 392 [D3]

@article{Frisch1972RemarksOA,
  title={Remarks on algorithm 352 [S22], algorithm 385 [S13], algorithm 392 [D3]},
  author={Michael J. Frisch},
  journal={Commun. ACM},
  year={1972},
  volume={15},
  pages={1074}
}
  • M. Frisch
  • Published 1 December 1972
  • Mathematics
  • Commun. ACM
Submittal of an algorithm for eonsideralion for publication in Communications of the ACM implies that unrestricted use of the algorithm within a computer is permissible. Description This subroutine uses the product type trapezoidal rule compounded n times to approximate the value of the integral b f f(x)g(x) dx. (2 l~(g(a-.]-(j-1)h) x) (f(a + (j-1)h),f(a +jh)) i=i 1 2] \ g(a +jh) /' wlhereh = (b-a)/n. Note that Jig(x) ~ 1 (or fix)-~ 1),the rule reduces to the regular trapezoidal rule. The… 

Tables from this paper

References

SHOWING 1-4 OF 4 REFERENCES

The algebraic eigenvalue problem

Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of

F2] Roots of Matrix Pencils: The Generalized Eigenvalue Problem

  • on Algorithm
  • 1971

APL functions for data analysis and statistics Reducing the rank of (A --XB)

  • Res. Rep. CP-5, Dep. of Statistics Proc. Amer. Math. Soc
  • 1965