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Floating point - Wikipedia, the free encyclopedia
In computing, floating point describes a system for numerical representation in which a string of digits (or bits) represents a rational number. The term floating point refers to the fact that the...
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Pentium FDIV bug - Wikipedia, the free encyclopedia
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Catastrophic cancellation occurs when the operands are subject to rounding errors. For example in the quadratic formula, the expression b2 - 4ac occurs. The quantities b2 and 4ac are subject to rounding errors since they are the results of floating-point multiplications.
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This paper provides a framework that highlights the features of computer models that make them especially vulnerable to floating-point errors, and suggests ways in which the impact of such errors can be mitigated. ... We focus on small floating-point errors because these are most likely to occur, whilst still potentially...
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Operating System ; How to handle floating point errors ... Undetected floating-point errors may result in lower program efficiency, inaccurate results, or software vulnerabilities. Most processors stall for a significant duration (sometimes up to a second or even more on 32-bit desktop processors) when an operation incurs...
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Consider solving the linear system Hx = b using Cholesky, forward and back substitution in the standard way, yielding a computed solution x. The usual floating point error analysis says that the relative error kx \Gamma xk 2 =kxk 2 = O(")(H), ... On Floating Point Errors in Cholesky (1989) [6 citations — 0 self]
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Title Bug: Watch for floating point errors ... Description This bug alert points out some possible sources of error in floating point calculations. ... Keywords floating point errors, single, double, overflow, underflow, Visual Basic 6, VB 6, VB.NET, VB 2005...
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