Developer Reference

Intel® oneAPI Math Kernel Library LAPACK Examples

ID 766877
Date 12/20/2021

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DPOSV Example

The routine solves the real system of linear equations for X:

A*X = B


  • A is a square symmetric positive-definite 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 Cholesky decomposition is used to factor A as:

A = UT*U, if uplo = 'U' or A = L*LT, if uplo = 'L'


  • U is an upper triangular matrix.

  • L is a lower triangular matrix.

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).