Developer Reference for Intel® oneAPI Math Kernel Library for Fortran
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Estimating the Condition Number: LAPACK Computational Routines
This section describes the LAPACK routines for estimating the condition number of a matrix. The condition number is used for analyzing the errors in the solution of a system of linear equations (see Error Analysis). Since the condition number may be arbitrarily large when the matrix is nearly singular, the routines actually compute the reciprocal condition number.
- ?gecon
Estimates the reciprocal of the condition number of a general matrix in the 1-norm or the infinity-norm. - ?gbcon
Estimates the reciprocal of the condition number of a band matrix in the 1-norm or the infinity-norm. - ?gtcon
Estimates the reciprocal of the condition number of a tridiagonal matrix. - ?pocon
Estimates the reciprocal of the condition number of a symmetric (Hermitian) positive-definite matrix. - ?ppcon
Estimates the reciprocal of the condition number of a packed symmetric (Hermitian) positive-definite matrix. - ?pbcon
Estimates the reciprocal of the condition number of a symmetric (Hermitian) positive-definite band matrix. - ?ptcon
Estimates the reciprocal of the condition number of a symmetric (Hermitian) positive-definite tridiagonal matrix. - ?sycon
Estimates the reciprocal of the condition number of a symmetric matrix. - ?sycon_rook
Estimates the reciprocal of the condition number of a symmetric matrix. - ?sycon_3
Estimates the reciprocal of the condition number (in the 1-norm) of a real or complex symmetric matrix A using the factorization computed by ?sytrf_rk. - ?hecon
Estimates the reciprocal of the condition number of a Hermitian matrix. - ?hecon_rook
Estimates the reciprocal of the condition number of a Hermitian matrix using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges). - ?hecon_3
Estimates the reciprocal of the condition number (in the 1-norm) of a complex Hermitian matrix A. - ?spcon
Estimates the reciprocal of the condition number of a packed symmetric matrix. - ?hpcon
Estimates the reciprocal of the condition number of a packed Hermitian matrix. - ?trcon
Estimates the reciprocal of the condition number of a triangular matrix. - ?tpcon
Estimates the reciprocal of the condition number of a packed triangular matrix. - ?tbcon
Estimates the reciprocal of the condition number of a triangular band matrix.