Class TriangularSolver_ZDRM
This contains algorithms for solving systems of equations where T is a
nonsingular 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.

Constructor Summary

Method Summary
Modifier and TypeMethodDescriptionstatic void
solveConjTranL_diagReal
(double[] L, double[] b, int n) This is a forward substitution solver for nonsingular lower triangular matrices with real valued diagonal elements.static void
solveL_diagReal
(double[] L, double[] b, int n) Solves for nonsingular lower triangular matrices with real valued diagonal elements using forward substitution.static void
solveU
(double[] U, double[] b, int n) This is a forward substitution solver for nonsingular upper triangular matrices.

Constructor Details

TriangularSolver_ZDRM
public TriangularSolver_ZDRM()


Method Details

solveU
public static void solveU(double[] U, double[] b, int n) This is a forward substitution solver for nonsingular upper triangular matrices.
b = U^{1}b
where b is a vector, U is an n by n matrix.
 Parameters:
U
 An n by n nonsingular upper triangular matrix. Not modified.b
 A vector of length n. Modified.n
 The size of the matrices.

solveL_diagReal
public static void solveL_diagReal(double[] L, double[] b, int n) Solves for nonsingular lower triangular matrices with real valued diagonal elements using forward substitution.
b = L^{1}b
where b is a vector, L is an n by n matrix.
 Parameters:
L
 An n by n nonsingular lower triangular matrix. Not modified.b
 A vector of length n. Modified.n
 The size of the matrices.

solveConjTranL_diagReal
public static void solveConjTranL_diagReal(double[] L, double[] b, int n) This is a forward substitution solver for nonsingular lower triangular matrices with real valued diagonal elements.
b = (L^{CT})^{1}b
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 nonsingular lower triangular matrix. Not modified.b
 A vector of length n. Modified.n
 The size of the matrices.
