Uses the diagonal pivoting factorization to compute the solution to the system of linear equations with a real or complex symmetric coefficient matrix A, and provides error bounds on the solution.
The routine uses the diagonal pivoting factorization to compute the solution to a real or complex system of linear equations
nsymmetric matrix, the columns of matrix
Bare individual right-hand sides, and the columns of
Xare the corresponding solutions.
Error bounds on the solution and a condition estimate are also provided.
?sysvxperforms the following steps:
- If, the diagonal pivoting method is used to factor the matrixfact='N'A. The form of the factorization isorA=U*D*UT, whereA=L*D*LTU(orL) is a product of permutation and unit upper (lower) triangular matrices, andDis symmetric and block diagonal with 1-by-1 and 2-by-2 diagonal blocks.