From 8d6e55fa9a8273efa02d78de936fa6151c42fb8e Mon Sep 17 00:00:00 2001
From: Phil Steitz
- This is yet to be written. Any contributions will be gratefully accepted!
+ Currently, numerical linear algebra support in commons-math is
+ limited to basic operations on real matrices and solving linear systems.
- This is yet to be written. Any contributions will be gratefully accepted!
+ The
+ RealMatrix interface represents a matrix with real numbers as
+ entries. The following basic matrix operations are supported:
+
+
+ Example: + +
- This is yet to be written. Any contributions will be gratefully accepted!
+ The solve()
methods of the RealMatrix
interface
+ support solving linear systems of equations. In each case, the
+ RealMatrix
represents the coefficient matrix of the system.
+ For example, to solve the linear system
+
+ 2x + 3y - 2z = 1 + -x + 7y + 6x = -2 + 4x - 3y - 5z = 1 ++ Start by creating a RealMatrix to store the coefficients + + Next create a
double[]
array to represent the constant
+ vector and use solve(double[])
to solve the system
+
+ The solution
array will contain values for x
+ (solution[0]
), y (solution[1]
),
+ and z (solution[2]
) that solve the system.
+
+ + If the coefficient matrix is not square or singular, an + + InvalidMatrixException is thrown. +
+
+ It is possible to solve multiple systems with the same coefficient matrix
+ in one method call. To do this, create a matrix whose column vectors correspond
+ to the constant vectors for the systems to be solved and use
+ solve(RealMatrix),
which returns a matrix with column
+ vectors representing the solutions.