Chapter Introduction (pdf version)
NAG Library Manual

F04 – Simultaneous Linear Equations

F04 Chapter Introduction
Routine
Name
Mark of
Introduction

Purpose
F04AAF
Example Text
Example Data
2 Solution of real simultaneous linear equations with multiple right-hand sides (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04ABF
Example Text
Example Data
2 Solution of real symmetric positive-definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
F04ACF
Example Text
Example Data
2 Solution of real symmetric positive-definite banded simultaneous linear equations with multiple right-hand sides (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04ADF
Example Text
Example Data
2 Solution of complex simultaneous linear equations with multiple right-hand sides (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04AEF
Example Text
Example Data
2 Solution of real simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
F04AFF
Example Text
Example Data
2 Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF)
F04AGF
Example Text
Example Data
2 Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF)
F04AHF
Example Text
Example Data
2 Solution of real simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AFF)
F04AJF
Example Text
Example Data
2 Solution of real simultaneous linear equations (coefficient matrix already factorized by F03AFF)
F04AMF
Example Text
Example Data
2 Least-squares solution of m real equations in n unknowns, rank =n, mn using iterative refinement (Black Box)
F04ARF
Example Text
Example Data
4 Solution of real simultaneous linear equations, one right-hand side (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04ASF
Example Text
Example Data
4 Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
F04ATF
Example Text
Example Data
4 Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
F04AXF
Example Text
Example Data
7 Solution of real sparse simultaneous linear equations (coefficient matrix already factorized)
F04BAF
Example Text
Example Data
21 Computes the solution and error-bound to a real system of linear equations
F04BBF
Example Text
Example Data
21 Computes the solution and error-bound to a real banded system of linear equations
F04BCF
Example Text
Example Data
21 Computes the solution and error-bound to a real tridiagonal system of linear equations
F04BDF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric positive-definite system of linear equations
F04BEF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric positive-definite system of linear equations, packed storage
F04BFF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations
F04BGF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric positive-definite tridiagonal system of linear equations
F04BHF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric system of linear equations
F04BJF
Example Text
Example Data
21 Computes the solution and error-bound to a real symmetric system of linear equations, packed storage
F04CAF
Example Text
Example Data
21 Computes the solution and error-bound to a complex system of linear equations
F04CBF
Example Text
Example Data
21 Computes the solution and error-bound to a complex banded system of linear equations
F04CCF
Example Text
Example Data
21 Computes the solution and error-bound to a complex tridiagonal system of linear equations
F04CDF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations
F04CEF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian positive-definite system of linear equations, packed storage
F04CFF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian positive-definite banded system of linear equations
F04CGF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian positive-definite tridiagonal system of linear equations
F04CHF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian system of linear equations
F04CJF
Example Text
Example Data
21 Computes the solution and error-bound to a complex Hermitian system of linear equations, packed storage
F04DHF
Example Text
Example Data
21 Computes the solution and error-bound to a complex symmetric system of linear equations
F04DJF
Example Text
Example Data
21 Computes the solution and error-bound to a complex symmetric system of linear equations, packed storage.
F04EAF
Example Text
Example Data
11 Solution of real tridiagonal simultaneous linear equations, one right-hand side (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04FAF
Example Text
Example Data
11 Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black Box)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04FEF
Example Text
Example Data
15 Solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix, one right-hand side
F04FFF
Example Text
Example Data
15 Solution of real symmetric positive-definite Toeplitz system, one right-hand side
F04JAF
Example Text
Example Data
8 Minimal least-squares solution of m real equations in n unknowns, rank n, mn 
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04JDF
Example Text
Example Data
8 Minimal least-squares solution of m real equations in n unknowns, rank m, mn 
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04JGF
Example Text
Example Data
8 Least-squares (if rank =n) or minimal least-squares (if rank <n) solution of m real equations in n unknowns, rank n, mn
F04JLF
Example Text
Example Data
17 Real general Gauss–Markov linear model (including weighted least-squares)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04JMF
Example Text
Example Data
17 Equality-constrained real linear least-squares problem
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04KLF
Example Text
Example Data
17 Complex general Gauss–Markov linear model (including weighted least-squares)
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04KMF
Example Text
Example Data
17 Equality-constrained complex linear least-squares problem
This routine is scheduled for withdrawal at Mark 23, please see the Advice on Replacement Calls for Withdrawn/Superseded Routines for further details.
F04LEF
Example Text
Example Data
11 Solution of real tridiagonal simultaneous linear equations (coefficient matrix already factorized by F01LEF)
F04LHF
Example Text
Example Data
13 Solution of real almost block diagonal simultaneous linear equations (coefficient matrix already factorized by F01LHF)
F04MCF
Example Text
Example Data
8 Solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF)
F04MEF
Example Text
Example Data
15 Update solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix
F04MFF
Example Text
Example Data
15 Update solution of real symmetric positive-definite Toeplitz system
F04QAF
Example Text
11 Sparse linear least-squares problem, m real equations in n unknowns
F04YAF
Example Text
Example Data
11 Covariance matrix for linear least-squares problems, m real equations in n unknowns
F04YCF
Example Text
Example Data
13 Norm estimation (for use in condition estimation), real matrix
F04ZCF
Example Text
Example Data
13 Norm estimation (for use in condition estimation), complex matrix

Chapter Introduction (pdf version)
NAG Library Manual

The Numerical Algorithms Group Ltd, Oxford, UK. 2006