Class TriangularSolver_CDRM
This contains algorithms for solving systems of equations where T is a
non-singular triangular complex matrix:
T*x = b
where x and b are vectors, and T is an n by n matrix. T can either be a lower or upper triangular matrix.
These functions are designed for use inside of other algorithms. To use them directly is dangerous since no sanity checks are performed.
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Constructor Summary
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Method Summary
Modifier and TypeMethodDescriptionstatic void
solveConjTranL_diagReal
(float[] L, float[] b, int n) This is a forward substitution solver for non-singular lower triangular matrices with real valued diagonal elements.static void
solveL_diagReal
(float[] L, float[] b, int n) Solves for non-singular lower triangular matrices with real valued diagonal elements using forward substitution.static void
solveU
(float[] U, float[] b, int n) This is a forward substitution solver for non-singular upper triangular matrices.
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Constructor Details
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TriangularSolver_CDRM
public TriangularSolver_CDRM()
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Method Details
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solveU
public static void solveU(float[] U, float[] b, int n) This is a forward substitution solver for non-singular upper triangular matrices.
b = U-1b
where b is a vector, U is an n by n matrix.
- Parameters:
U
- An n by n non-singular upper triangular matrix. Not modified.b
- A vector of length n. Modified.n
- The size of the matrices.
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solveL_diagReal
public static void solveL_diagReal(float[] L, float[] b, int n) Solves for non-singular lower triangular matrices with real valued diagonal elements using forward substitution.
b = L-1b
where b is a vector, L is an n by n matrix.
- Parameters:
L
- An n by n non-singular lower triangular matrix. Not modified.b
- A vector of length n. Modified.n
- The size of the matrices.
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solveConjTranL_diagReal
public static void solveConjTranL_diagReal(float[] L, float[] b, int n) This is a forward substitution solver for non-singular lower triangular matrices with real valued diagonal elements.
b = (LCT)-1b
where b is a vector, L is an n by n matrix.
L is a lower triangular matrix, but it comes up with a solution as if it was an upper triangular matrix that was computed by conjugate transposing L.
- Parameters:
L
- An n by n non-singular lower triangular matrix. Not modified.b
- A vector of length n. Modified.n
- The size of the matrices.
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