On Local Roundoff Errors in Floating-Point Arithmetic
Journal of the ACM (JACM)
The FUNPACK Package of Special Function Subroutines
ACM Transactions on Mathematical Software (TOMS)
Software for Roundoff Analysis
ACM Transactions on Mathematical Software (TOMS)
Algorithms to Reveal the Representation of Characters, Integers, and Floating-Point Numbers
ACM Transactions on Mathematical Software (TOMS)
Comments on the Nature of Automatic Quadrature Routines
ACM Transactions on Mathematical Software (TOMS)
A Portable Extended Precision Arithmetic Package and Library with Fortran Precompiler
ACM Transactions on Mathematical Software (TOMS)
Automatic Error Analysis Using Computer Algebraic Manipulation
ACM Transactions on Mathematical Software (TOMS)
A Simulation Test Approach to the Evaluation of Nonlinear Optimization Algorithms
ACM Transactions on Mathematical Software (TOMS)
A Portable Fortran Program to Find the Euclidean Norm of a Vector
ACM Transactions on Mathematical Software (TOMS)
A Fortran Multiple-Precision Arithmetic Package
ACM Transactions on Mathematical Software (TOMS)
Parameterization of the Environment for Transportable Numerical Software
ACM Transactions on Mathematical Software (TOMS)
Software for Interval Arithmetic: A Reasonably Portable Package
ACM Transactions on Mathematical Software (TOMS)
A Versatile Precompiler for Nonstandard Arithmetics
ACM Transactions on Mathematical Software (TOMS)
The Design and Structure of a Fortran Program Library for Optimization
ACM Transactions on Mathematical Software (TOMS)
More on algorithms that reveal properties of floating point arithmetic units
Communications of the ACM
Algorithms to reveal properties of floating-point arithmetic
Communications of the ACM
A statistical study of the accuracy of floating point number systems
Communications of the ACM
Machine Parameters for Numerical Analysis
Portability of Numerical Software, Workshop
Multiple Program Realizations Using the TAMPR System
Portability of Numerical Software, Workshop
Environment parameters and basic functions for floating-point computation
Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software
The AUGMENT precompiler as a tool for the development of special purpose arithmetic packages
Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software
Three proposed amendments to the draft proposed ANS FORTRAN Standard
ACM SIGNUM Newsletter
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
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This article discusses problems at the software design and implementation level that transcend any particular subfield of computational mathematics, but which are important to all subfields. The discussion includes desirable attributes of numerical software that are independent of the underlying algorithms, ways in which software with these attributes exploit arithmetic characteristics of the host computer, advantages to the gathering of numerical software into thematic packages and the problems involved in such work, and challenges in testing numerical software. A nontechnical overview of the subject is followed by a technical discussion which includes suggestions for research activities within DOE.