lecture3 - CMPSC/MATH 451 Numerical Computations Lecture 3...

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CMPSC/MATH 451 Numerical Computations Lecture 3 Aug 26, 2011 Prof. Kamesh Madduri
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REVIEW 2
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Error Analysis Absolute and relative error Computational and propagated data error Rounding and truncation error Sensitivity/Conditioning for problems Computing the condition number for problems Stability for algorithms 3
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Floating-point arithmetic 4
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Real number system Some properties Infinite numbers, ranging from -∞ to +∞ Infinite density Ordered, can be represented on an (infinitely long) number scale Rational and irrational numbers Finite-precision arithmetic : The approximation we make to represent real 5
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Scientific notation 123.45 = 123.45x100 Can also be represented as 12.345x101 or 1.2345x102 Decimal point floats as the power of 10 changes Clearly, the representation is not unique The base can be any positive integer greater than 1 6
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Floating-point numbers 7
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Exponent or Characteristic : E Significand
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This note was uploaded on 01/19/2012 for the course CMPSC 451 taught by Professor Staff during the Spring '08 term at Penn State.

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lecture3 - CMPSC/MATH 451 Numerical Computations Lecture 3...

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