matrixGaussianSubstitute
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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. Usage 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.
Expression:
Arguments
Name
Type
Description Argument: NumMatrix NumMatrix
Matrix containing the triangulated original independent and dependent observations
Returns:
Here are a number of links to Lambda coding examples which contain this instruction in various use cases.
Here are the links to the data types of the function arguments.
| NumMatrix |
Here are also a number of links to functions having arguments with any of these data types.
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Analytic Information Server (AIS)AIS Component Systems
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