Software for Interval Arithmetic: A Reasonably Portable Package

Yohe, J. M.

doi:10.1145/355815.355819

Cited by 31 publications

(14 citation statements)

References 14 publications

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“…The algorithm described in Theorem 3 is used with the Gauss inverse without preconditioning in Example 1 and 2, and the preconditioned Gauss inverse in Example 3. The results were obtained on a SPERRY 1100/82 (mantissa length 27 binary digits) with the INTERVAL FORTRAN package of Yohe [19]. .…”

Section: Numerical Resultsmentioning

confidence: 99%

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Interval iteration for zeros of systems of equations

Neumaier

1985

BIT

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Section: Numerical Resultsmentioning

confidence: 99%

“…In particular, if 37 = x* is a zero of F then (22) holds with ~ = 0 and (23) simplifies to (19). Hence (i) holds.…”

Section: Enclosing a Zero Of Nonlinear Systems Of Equationsmentioning

confidence: 93%

Interval iteration for zeros of systems of equations

Neumaier

1985

BIT

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“…the INTERVAL arithmetic package developed by the second author ( 19) . In particular , we indicate how the interval arithmetic package was modified in the space of approximately one week to produc.…”

Section: Significance and Explanationmentioning

confidence: 99%

The AUGMENT precompiler as a tool for the development of special purpose arithmetic packages

Crary¹,

Yohe²

1979

Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software on -

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00'~) ~ .~~, ABSTRA CTWe discuss the use of a FORTRAN preoospiler in the development of packages for non standard arithmetics. In particular , the use of the FORTRAN preco.-piler , AUGMENT , renders the source code more lucid , red uces the rnaber of lines of code in a nonstandard arithmetic package , facilitates modification , and amel iorates the problems of transp orting such a package to another host system.

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“…These include multiple or extended precision arithmetics ( [3,8,18], and others), interval arithmetic ( [2,19]), and systems for symbolic algebraic computation (e.g. [5]).…”

Section: Introductionmentioning

confidence: 99%

A Versatile Precompiler for Nonstandard Arithmetics

Crary¹

1979

ACM Trans. Math. Softw.

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A highly portable Fortran precompiler which allows simphfied computation with nonstandard arithmetics is described The philosophy and design goals are bnefly presented, the major capabilities of the precompfler are described, and some apphcatmns are brmfly discussed. A summary is made of the experience with the precompiler. The precompfler is intended to furnish workmg programmers with a ready means of using nonstandard anthmetms

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Software for Interval Arithmetic: A Reasonably Portable Package

Cited by 31 publications

References 14 publications

Interval iteration for zeros of systems of equations

Interval iteration for zeros of systems of equations

The AUGMENT precompiler as a tool for the development of special purpose arithmetic packages

A Versatile Precompiler for Nonstandard Arithmetics

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