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Machine epsilon

Machine epsilon or machine precision is an upper bound on the relative approximation error due to rounding in floating point number systems. This value characterizes computer arithmetic in the field of numerical analysis, and by extension in the subject of computational science. The quantity is also called macheps and it has the symbols Greek epsilon ε…

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Alternative definitions for epsilon

How to determine machine epsilon

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Machine epsilon

Nodes46
Edges45
Triples37
Avg. degree1.96
Density0.043478
Components1

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Machine epsilon

Top relations

related to Mainstream definition (Interval machine epsilon) · 12
Machine epsilon → Ada, By, Fortran, Mathematica, MATLAB, Numerical Recipes, Octave, Pascal, Press, Python, Rust, This
related to How to determine machine epsilon · 8
Machine epsilon → Computing, Double, EPSILON/java, EPSILONin Java, Float, Note, The, Where
related to Formal definition (Rounding machine epsilon) · 7
Machine epsilon → For, James Demmel, LAPACK, Most, Prof, Rounding, The
is a · 4
Machine epsilon → bound for relative error, difference between 1 and the next larger floating point number, maximum relative error of the chosen rounding procedure.Some background is needed to determine a value from this definition, one used by Prof
related to Alternative definitions for epsilon · 2
Machine epsilon → The, The IEEE
related to Approximation · 1
Machine epsilon → The
related to Values for standard hardware arithmetics · 1
Machine epsilon → The

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Important terminology

epsilon machine displaystyle rounding definition number used error relative floating point also numbers varepsilon formal mainstream unit arithmetic value two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Machine epsilonis adifference between 1 and the next larger floating point number0.90text
Machine epsilonis aone used by Prof0.90text
Machine epsilonis amaximum relative error of the chosen rounding procedure.Some background is needed to determine a value from this definition0.90text
Machine epsilonis abound for relative error0.90text
addition or multiplicationinstance ofis an arithmetic operation on floating-point numbers0.80text
andinstance ofis an arithmetic operation on floating-point numbers0.80text
Machine epsilonrelated to Alternative definitions for epsilonThe IEEE0.60section
Machine epsilonrelated to Alternative definitions for epsilonThe0.60section
Machine epsilonrelated to ApproximationThe0.60section
Machine epsilonrelated to Formal definition (Rounding machine epsilon)The0.60section
Machine epsilonrelated to Formal definition (Rounding machine epsilon)Prof0.60section
Machine epsilonrelated to Formal definition (Rounding machine epsilon)James Demmel0.60section

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