Intel® oneAPI Math Kernel Library LAPACK Examples

Developer Reference

  • 2022.1
  • 12/20/2021
  • Public Content
Contents

SSYSV Example

The routine solves the real system of linear equations for
X
: 
A*X = B
where
  • A
     is a square symmetric matrix.
  • The columns of matrix
    B
     are individual right-hand sides.
  • The columns of
    X
     are the corresponding solutions.
The matrix
B
 is overwritten by
X
.
The diagonal pivoting method is used to factor
A
 as:
A
 =
U
*
D
*
U
T
 or
A
 =
L
*
D
*
L
T
where
  • U
     (or
    L
    ) is a product of permutation and unit upper (lower) triangular matrices.
  • D
     is a symmetric and block diagonal matrix with 1-by-1 and 2-by-2 diagonal blocks.
The factored form of
A
 is then used to solve the system of equations
A
*
X
 =
B
.

C Interface

Please refer to the Matrix Layout section of the C Interface Conventions for the description of Row Major (C default) and Column Major (Fortran default).

Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.