TridiagonalSystemSolver

TridiagonalSystemSolver

Uses the Tridiagonal Matrix Algorithm, also known as the Thomas Algorithm, to solve a system of linear equations where the coefficient matrix is a tridiagonal matrix.

Methods

staticTridiagonalSystemSolver.solve(diagonal, lower, upper, right)Cartesian3[]

Solves a tridiagonal system of linear equations.
Performance:

Linear time.

Name Type Description
diagonal Number[] An array with length n that contains the diagonal of the coefficient matrix.
lower Number[] An array with length n - 1 that contains the lower diagonal of the coefficient matrix.
upper Number[] An array with length n - 1 that contains the upper diagonal of the coefficient matrix.
right Cartesian3[] An array of Cartesians with length n that is the right side of the system of equations.
Returns:
An array of Cartesians with length n that is the solution to the tridiagonal system of equations.
Throws:
Example:
var lowerDiagonal = [1.0, 1.0, 1.0, 1.0];
var diagonal = [2.0, 4.0, 4.0, 4.0, 2.0];
var upperDiagonal = [1.0, 1.0, 1.0, 1.0];
var rightHandSide = [
    new Cesium.Cartesian3(410757.0, -1595711.0, 1375302.0),
    new Cesium.Cartesian3(-5986705.0, -2190640.0, 1099600.0),
    new Cesium.Cartesian3(-12593180.0, 288588.0, -1755549.0),
    new Cesium.Cartesian3(-5349898.0, 2457005.0, -2685438.0),
    new Cesium.Cartesian3(845820.0, 1573488.0, -1205591.0)
];

var solution = Cesium.TridiagonalSystemSolver.solve(lowerDiagonal, diagonal, upperDiagonal, rightHandSide);