public class TriangularSolver_CDRM
extends java.lang.Object
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.
Constructor and Description |
---|
TriangularSolver_CDRM() |
Modifier and Type | Method and Description |
---|---|
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.
|
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.
|
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.
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.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.
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.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.
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.