NAG fl90 Library

Chapter 5: Linear Equations

Chapter Introduction

Module 5.1: nag_gen_lin_sys - General systems of linear equations

nag_gen_lin_sol Solves a general real or complex system of linear equations with one or many right-hand sides

nag_gen_lin_fac Performs an LU factorization of a general real or complex matrix

nag_gen_lin_sol_fac Solves a general real or complex system of linear equations, with coefficient matrix previously factorized by nag_gen_lin_fac

Module 5.2: nag_sym_lin_sys - Symmetric systems of linear equations

nag_sym_lin_sol Solves a real or complex, symmetric or Hermitian system of linear equations with one or many right-hand sides

nag_sym_lin_fac Performs a Cholesky or Bunch-Kaufman factorization of a real or complex, symmetric or Hermitian matrix

nag_sym_lin_sol_fac Solves a real or complex, symmetric or Hermitian system of linear equations, with coefficient matrix previously factorized by nag_sym_lin_fac

Module 5.3: nag_tri_lin_sys - Triangular systems of linear equations

nag_tri_lin_sol Solves a real or complex triangular system of linear equations

nag_tri_lin_cond Estimates the condition number of a real or complex triangular matrix

nag_tri_mat_det Evaluates the determinant of a real or complex triangular matrix

Module 5.4: nag_gen_bnd_lin_sys - General banded systems of linear equations

nag_gen_bnd_lin_sol Solves a general real or complex banded system of linear equations, with one or many right hand sides

nag_gen_bnd_lin_fac Performs an LU factorization of a general real or complex band matrix

nag_gen_bnd_lin_sol_fac Solves a general real or complex banded system of linear equations, with coefficient matrix previously factorized by nag_gen_bnd_lin_fac

Module 5.5: nag_sym_bnd_lin_sys - Symmetric banded systems of linear equations

nag_sym_bnd_lin_sol Solves a real symmetric or complex Hermitian positive definite banded system of linear equations, with one or many right hand sides

nag_sym_bnd_lin_fac Performs a Cholesky factorization of a real symmetric or complex Hermitian positive definite band matrix

nag_sym_bnd_lin_sol_fac Solves a real symmetric or complex Hermitian positive definite banded system of linear equations, with coefficient matrix previously factorized by nag_sym_bnd_lin_fac

Last modified: new doc September 1999

Chapter Introduction
Module 5.1: `nag_gen_lin_sys` - General systems of linear equations
`nag_gen_lin_sol`	Solves a general real or complex system of linear equations with one or many right-hand sides
`nag_gen_lin_fac`	Performs an LU factorization of a general real or complex matrix
`nag_gen_lin_sol_fac`	Solves a general real or complex system of linear equations, with coefficient matrix previously factorized by nag_gen_lin_fac
Module 5.2: `nag_sym_lin_sys` - Symmetric systems of linear equations
`nag_sym_lin_sol`	Solves a real or complex, symmetric or Hermitian system of linear equations with one or many right-hand sides
`nag_sym_lin_fac`	Performs a Cholesky or Bunch-Kaufman factorization of a real or complex, symmetric or Hermitian matrix
`nag_sym_lin_sol_fac`	Solves a real or complex, symmetric or Hermitian system of linear equations, with coefficient matrix previously factorized by nag_sym_lin_fac
Module 5.3: `nag_tri_lin_sys` - Triangular systems of linear equations
`nag_tri_lin_sol`	Solves a real or complex triangular system of linear equations
`nag_tri_lin_cond`	Estimates the condition number of a real or complex triangular matrix
`nag_tri_mat_det`	Evaluates the determinant of a real or complex triangular matrix
Module 5.4: `nag_gen_bnd_lin_sys` - General banded systems of linear equations
`nag_gen_bnd_lin_sol`	Solves a general real or complex banded system of linear equations, with one or many right hand sides
`nag_gen_bnd_lin_fac`	Performs an LU factorization of a general real or complex band matrix
`nag_gen_bnd_lin_sol_fac`	Solves a general real or complex banded system of linear equations, with coefficient matrix previously factorized by nag_gen_bnd_lin_fac
Module 5.5: `nag_sym_bnd_lin_sys` - Symmetric banded systems of linear equations
`nag_sym_bnd_lin_sol`	Solves a real symmetric or complex Hermitian positive definite banded system of linear equations, with one or many right hand sides
`nag_sym_bnd_lin_fac`	Performs a Cholesky factorization of a real symmetric or complex Hermitian positive definite band matrix
`nag_sym_bnd_lin_sol_fac`	Solves a real symmetric or complex Hermitian positive definite banded system of linear equations, with coefficient matrix previously factorized by nag_sym_bnd_lin_fac