## Developer Reference

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

# ZSYSV Example

The routine solves the complex 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.