Intel® oneAPI Math Kernel Library LAPACK Examples

Developer Reference

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

ZGESV Example

The routine solves the system of linear equations for
X
:
A*X = B
where
  • A
     is a square 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
LU
 decomposition with partial pivoting and row interchanges is used to factor
A
 as:
A = P*L*U
where
  • P
     is a permutation matrix.
  • L
     is a unit lower triangular.
  • U
     is an upper triangular.
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.