Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

Contents

LAPACK Linear Equation Computational Routines

Table
"Computational Routines for Systems of Equations with Real Matrices"
 lists the LAPACK computational routines for factorizing, equilibrating, and inverting real matrices, estimating their condition numbers, solving systems of equations with real matrices, refining the solution, and estimating its error. Table "Computational Routines for Systems of Equations with Complex Matrices" lists similar routines for complex matrices.
Computational Routines for Systems of Equations with Real Matrices
Matrix type, storage scheme
Factorize matrix
Equilibrate matrix
Solve system
Condition number
Estimate error
Invert matrix
general
general band
 
general tridiagonal
 
 
diagonally dominant tridiagonal
 
 
symmetric positive-definite
symmetric positive-definite, packed storage
symmetric positive-definite, RFP storage
 
 
 
symmetric positive-definite, band
 
symmetric positive-definite, tridiagonal
 
 
symmetric indefinite
symmetric indefinite, packed storage
 
triangular
 
 
triangular, packed storage
 
 
triangular, RFP storage
 
 
 
 
 
triangular band
 
 
 
Computational Routines for Systems of Equations with Complex Matrices
Matrix type, storage scheme
Factorize matrix
Equilibrate matrix
Solve system
Condition number
Estimate error
Invert matrix
general
general band