Numerical mathematics and computer science

@article{Traub1972NumericalMA,
  title={Numerical mathematics and computer science},
  author={J. Traub},
  journal={Commun. ACM},
  year={1972},
  volume={15},
  pages={537-541}
}
  • J. Traub
  • Published 1972
  • Computer Science
  • Commun. ACM
  • Numerical mathematics is viewed as the analysis of continuous algorithms. Four of the components of numerical mathematics are discussed. These are: foundations (finite precision number systems, computational compexity), synthesis and analysis of algorithms, analysis of error, programs and program libraries. 
    12 Citations
    Numerical computations: its nature and research directions
    • 2
    Symbolic-Numeric Interface: a review (in absentia)
    • E. W. Ng
    • Mathematics, Computer Science
    • EUROSAM
    • 1979
    • 18
    Computer Scientists: Why Numerical Instead of Analytical Mathematics?
    • Highly Influenced
    • PDF
    The complexity of multiple-precision arithmetic
    • R. Brent
    • Computer Science, Mathematics
    • ArXiv
    • 2010
    • 26
    • PDF
    John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis
    • J. Grcar
    • Mathematics, Computer Science
    • SIAM Rev.
    • 2011
    • 35
    • PDF
    An algorithm for a system of linear equations
    An approach to organization of application software
    Mathematicians of Gaussian Elimination
    • 51
    • PDF

    References

    SHOWING 1-8 OF 8 REFERENCES
    Numerical analysis as an independent science
    • 40
    • Highly Influential
    Some Comments from a Numerical Analyst
    • 37
    • Highly Influential
    • PDF
    Numerical inverting of matrices of high order
    • 420
    • Highly Influential
    • PDF
    A bound on the multiplication efficiency of iteration
    • H. T. Kung
    • Mathematics, Computer Science
    • STOC '72
    • 1972
    • 10
    • Highly Influential
    Mathematical applications, computation, and complexity
    • 3
    • Highly Influential
    • PDF
    High Quality Portable Numerical Mathematics Program
    • Appears in Mathematical Software,
    • 1971
    TWenty-fifth Anniversary of Numerical Mathematics
    • ACM Signum Newsletter
    • 1970
    A Proposed Numerical Accuracy Control System
    • 2
    • Highly Influential