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Linpack
Published by:
Alexey Solovyov
Description
Linpack Benchmark
The LINPACK Benchmarks are a measure of a system's floating point computing power. They measure how fast a computer solves a dense N by N system of linear equations Ax = b, which is a common task in engineering. The solution is obtained by Gaussian elimination with partial pivoting, with 2/3·N3 + 2·N2 floating point operations. The result is reported in millions of floating point operations per second (MFLOP/s, sometimes simply called FLOPS).
Results.
Mflop/s:
Millions of floating point operations per second. A floating point operation here is a floating point addition or a floating point multiplication with 64 bit operands. For this problem there are 2/3 n^3 + n^2 floating point operations.
Time:
The time in seconds to solve the problem, Ax=b.
Norm Res:
A check is made to show that the computed solution is correct. The test is based on || Ax - b || / ( || A || || x || eps) where eps is described below. The Norm Res should be about O(1) in size. If this quantity is much larger than 1, the solution is probably incorrect.
Precision:
The relative machine precision usually the smallest positive number such that fl( 1.0 - eps ) < 1.0, where fl denotes the computed value and eps is the relative machine precision.
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The LINPACK Benchmarks are a measure of a system's floating point computing power. They measure how fast a computer solves a dense N by N system of linear equations Ax = b, which is a common task in engineering. The solution is obtained by Gaussian elimination with partial pivoting, with 2/3·N3 + 2·N2 floating point operations. The result is reported in millions of floating point operations per second (MFLOP/s, sometimes simply called FLOPS).
Results.
Mflop/s:
Millions of floating point operations per second. A floating point operation here is a floating point addition or a floating point multiplication with 64 bit operands. For this problem there are 2/3 n^3 + n^2 floating point operations.
Time:
The time in seconds to solve the problem, Ax=b.
Norm Res:
A check is made to show that the computed solution is correct. The test is based on || Ax - b || / ( || A || || x || eps) where eps is described below. The Norm Res should be about O(1) in size. If this quantity is much larger than 1, the solution is probably incorrect.
Precision:
The relative machine precision usually the smallest positive number such that fl( 1.0 - eps ) < 1.0, where fl denotes the computed value and eps is the relative machine precision.
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App Info
- Category
- Utilities
- Publisher
- Alexey Solovyov
- Languages
- English
- Recent release
- 1.5.1 (7 years ago )
- Released on
- Jul 12, 2010 (14 years ago )
- Also available in
- China , United States , Russia , France , United Kingdom , Spain , Argentina , Greece , India , Italy , Japan , South Korea , Mexico , Norway , Philippines , Poland , Saudi Arabia , Singapore , Türkiye , Brazil , Denmark , Bulgaria , Australia , Germany , Azerbaijan , Belarus , Nigeria , New Zealand , Peru , Pakistan , Portugal , Romania , Belgium , Sweden , Thailand , Austria , Taiwan , Ukraine , United Arab Emirates , Vietnam , South Africa , Czechia , Ecuador , Finland , Algeria , Dominican Republic , Hong Kong SAR China , Hungary , Indonesia , Ireland , Israel , Netherlands , Chile , Switzerland , Kuwait , Kazakhstan , Lebanon , Canada , Malaysia , Egypt
- Last Updated
- 4 weeks ago
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