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27 relations: ACM Computing Surveys, Algorithm, Approximation, Condition number, Countable set, CRC Press, Cube root, E (mathematical constant), Equation, Error analysis (mathematics), Floating-point arithmetic, Guard digit, Kahan summation algorithm, Logarithm, Loss of significance, Machine epsilon, Natural logarithm, Numerical analysis, Pi, Quantization (signal processing), Rounding, Significant figures, Society for Industrial and Applied Mathematics, Square root, Taylor & Francis, Truncation, Wilkinson's polynomial.
ACM Computing Surveys
ACM Computing Surveys (CSUR) is a peer reviewed scientific journal published by the Association for Computing Machinery.
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Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
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Approximation
An approximation is anything that is similar but not exactly equal to something else.
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Condition number
In the field of numerical analysis, the condition number of a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument.
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Countable set
In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.
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CRC Press
The CRC Press, LLC is a publishing group based in the United States that specializes in producing technical books.
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Cube root
In mathematics, a cube root of a number x is a number y such that y3.
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E (mathematical constant)
The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.
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Equation
In mathematics, an equation is a statement of an equality containing one or more variables.
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Error analysis (mathematics)
In mathematics, error analysis is the study of kind and quantity of error, or uncertainty, that may be present in the solution to a problem.
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Floating-point arithmetic
In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.
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Guard digit
In numerical analysis, one or more guard digits can be used to reduce the amount of roundoff error.
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Kahan summation algorithm
In numerical analysis, the Kahan summation algorithm (also known as compensated summation) significantly reduces the numerical error in the total obtained by adding a sequence of finite precision floating point numbers, compared to the obvious approach.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Loss of significance
Loss of significance is an undesirable effect in calculations using finite-precision arithmetic such as floating-point arithmetic.
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Machine epsilon
Machine epsilon gives an upper bound on the relative error due to rounding in floating point arithmetic.
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Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.
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Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
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Pi
The number is a mathematical constant.
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Quantization (signal processing)
Quantization, in mathematics and digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set.
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Rounding
Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing $ with $, or the fraction 312/937 with 1/3, or the expression with.
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Significant figures
The significant figures (also known as the significant digits) of a number are digits that carry meaning contributing to its measurement resolution.
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Society for Industrial and Applied Mathematics
The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.
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Square root
In mathematics, a square root of a number a is a number y such that; in other words, a number y whose square (the result of multiplying the number by itself, or) is a. For example, 4 and −4 are square roots of 16 because.
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Taylor & Francis
Taylor & Francis Group is an international company originating in England that publishes books and academic journals.
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Truncation
In mathematics and computer science, truncation is limiting the number of digits right of the decimal point.
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Wilkinson's polynomial
In numerical analysis, Wilkinson's polynomial is a specific polynomial which was used by James H. Wilkinson in 1963 to illustrate a difficulty when finding the root of a polynomial: the location of the roots can be very sensitive to perturbations in the coefficients of the polynomial.
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References
[1] https://en.wikipedia.org/wiki/Round-off_error
