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matrixGaussianSubstitute
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The matrixGaussianSubstitute function returns the M coefficient number
vector from a triangulated array representing the solution of a triangulated
system of M simultaneous linear equations in M variables. The input argument {NumMatrix} must be an M by M+1 matrix representing the
original independent variable observations with the dependent variable in the last
column all having been triangulated via the Gaussian elimination in the form of:: The output will be the M coefficient number vector representing the solution to the
original system of M simultaneous equations in M unknowns. When to use The matrixGaussianSubstitute function is a non-destructive function useful
when you want to solve a system of M simultaneous equations in M variables from a
triangulated matrix. See Sedgewick[2] chap 37.
x x x x... x y
0 x x x... x y
0 0 x x... x y
....
0 0 0 0... x y
(matrixGaussianSubstitute NumMatrix) A new number Vector containing the M coefficients of the solution.
Here are a number of links to Lambda coding examples which contain this instruction in various use cases.
Example_NumMatrix_matrixGaussianSubstitute_001
Here are the links to the data types of the function arguments. Here are also a number of links to functions having arguments with any of these data types.
You can always talk with the AIS at aiserver.sourceforge.net.
Name
Description
AIS Types NumMatrix Matrix containing the triangulated original independent and dependent observations NumMatrix
Returns:
Examples
Argument Types
NumMatrix
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