"What Every Computer Scientist Should Know About Floating-Point Arithmetic"

Floating-point arithmetic is considered as esoteric subject by many people. This is rather surprising, because floating-point is ubiquitous in computer systems: Almost every language has a floating...

[1]  W. S. Brown A Simple but Realistic Model of Floating-Point Computation , 1981, TOMS.

[2]  David A. H. Jacobs,et al.  The State of the Art in Numerical Analysis. , 1978 .

[3]  Bjarne Stroustrup,et al.  C++ Programming Language , 1986, IEEE Softw..

[4]  William Kahan,et al.  Miscalculating area and angles of a needle-like triangle , 1986 .

[5]  William Kahan,et al.  A Survey of Error Analysis , 1971, IFIP Congress.

[6]  Earl E. Swartzlander,et al.  The Sign/Logarithm Number System , 1975, IEEE Transactions on Computers.

[7]  David G. Hough,et al.  A Proposed Radix- and Word-length-independent Standard for Floating-point Arithmetic , 1984, IEEE Micro.

[8]  I. Bennett Goldberg 27 bits are not enough for 8-digit accuracy , 1967, CACM.

[9]  William Kahan,et al.  Anomalies in the IBM ACRITH package , 1985, 1985 IEEE 7th Symposium on Computer Arithmetic (ARITH).

[10]  William Kahan,et al.  The Near Orthogonality of Syntax, Semantics, and Diagnostics in Numerical Programming Environments, , 1982 .

[11]  Peter Kornerup,et al.  Finite Precision Rational Arithmetic: Slash Number Systems , 1983, IEEE Transactions on Computers.

[12]  Pat H. Sterbenz,et al.  Floating-point computation , 1973 .

[13]  Donald E. Knuth,et al.  Evading the Drift in Floating-Point Addition , 1975, Inf. Process. Lett..

[14]  Ramon E. Moore Reliability in computing: the role of interval methods in scientific computing , 1988 .

[15]  G. Forsythe,et al.  Computer solution of linear algebraic systems , 1969 .

[16]  James Demmel Underflow and the Reliability of Numerical Software , 1984 .

[17]  W. J. Cody Floating-point standards—theory and practice , 1988 .

[18]  J. S. Walther,et al.  A unified algorithm for elementary functions , 1899, AFIPS '71 (Spring).

[19]  Greg Nelson,et al.  Systems programming in modula-3 , 1991 .

[20]  W. Miranker,et al.  The arithmetic of the digital computer: A new approach , 1986 .

[21]  Luca Cardelli,et al.  Modula-3 Report (revised) , 1992 .

[22]  Jerome Toby Coonen Contributions to a proposed standard for binary floating-point arithmetic (computer arithmetic) , 1984 .

[23]  William Kahan Branch cuts for complex elementary functions , 1987 .

[24]  Ulrich W. Kulisch,et al.  Arithmetic for vector processors , 1987, 1987 IEEE 8th Symposium on Computer Arithmetic (ARITH).

[25]  T. J. Dekker,et al.  A floating-point technique for extending the available precision , 1971 .

[26]  Charles Farnum,et al.  Compiler support for floating‐point computation , 1988, Softw. Pract. Exp..

[27]  Alfred V. Aho,et al.  Compilers: Principles, Techniques, and Tools , 1986, Addison-Wesley series in computer science / World student series edition.

[28]  G. Forsythe,et al.  Computer solution of linear algebraic systems , 1969 .