TridiagonalSystemSolver

Methods

staticTridiagonalSystemSolver.solve(diagonal, lower, upper, right) → Array.<Cartesian3>

Solves a tridiagonal system of linear equations.

Performance:

Linear time.

Name	Type	Description
diagonal	Array.<Number>	An array with length n that contains the diagonal of the coefficient matrix.
lower	Array.<Number>	An array with length n - 1 that contains the lower diagonal of the coefficient matrix.
upper	Array.<Number>	An array with length n - 1 that contains the upper diagonal of the coefficient matrix.
right	Array.<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:

• DeveloperError : diagonal and right must have the same lengths.
• DeveloperError : lower and upper must have the same lengths.
• DeveloperError : lower and upper must be one less than the length of diagonal.

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);

Source: Core/TridiagonalSystemSolver.js, line 51