Chapter Introduction 
Module 6.1: nag_sym_eig  Standard Symmetric Eigenvalue Problems 
nag_sym_eig_all 
All eigenvalues, and optionally eigenvectors, of a real symmetric or complex Hermitian matrix 
nag_sym_eig_sel 
Selected eigenvalues, and optionally the corresponding eigenvectors, of a real symmetric or complex Hermitian matrix 
nag_sym_tridiag_reduc 
Reduction of a real symmetric or complex Hermitian matrix to real symmetric tridiagonal form 
nag_sym_tridiag_orth 
Form or apply the transformation matrix determined by nag_sym_tridiag_reduc 
nag_sym_tridiag_eig_all 
All eigenvalues, and optionally eigenvectors, of a real symmetric tridiagonal matrix 
nag_sym_tridiag_eig_val 
Selected eigenvalues of a real
symmetric tridiagonal matrix 
nag_sym_tridiag_eig_vec 
Selected eigenvectors of a real
symmetric tridiagonal matrix 
Examples

Module 6.2: nag_nsym_eig  Standard Nonsymmetric Eigenvalue Problems 
nag_nsym_eig_all 
All eigenvalues, and optionally
eigenvectors, of a general real or complex matrix 
nag_schur_fac 
Schur factorization of a general real or
complex matrix 
Examples

Module 6.3: nag_svd  Singular Value Decomposition (SVD) 
nag_gen_svd 
Singular value decomposition of a general real
or complex matrix 
nag_gen_bidiag_reduc 
Reduction of a general real or complex matrix to real bidiagonal form 
nag_bidiag_svd 
Singular value decomposition of a real
bidiagonal matrix 
Examples

Module 6.4: nag_lin_lsq  Linear Leastsquares problems 
nag_lin_lsq_sol 
Solves a real or complex linear
leastsquares problem 
nag_lin_lsq_sol_svd 
Solves a real or complex linear leastsquares problem, assuming that a singular value decomposition of the coefficient matrix has already been
computed 
nag_qr_fac 
QR factorization of a general real or complex matrix 
nag_qr_orth 
Form or apply the matrix determined by nag_qr_fac 
nag_lin_lsq_sol_qr 
Solves a real or complex linear
leastsquares problem, assuming that the factorization of the coefficient
matrix has already been computed 
nag_lin_lsq_sol_qr_svd 
Solves a real or complex linear
leastsquares problem using the SVD, assuming that the QR factorization of the coefficient matrix has already been computed 
Examples

Module 6.5: nag_sym_gen_eig  Symmetricdefinite Generalized Eigenvalue Problems 
nag_sym_gen_eig_all 
All eigenvalues, and optionally eigenvectors, of a real symmetricdefinite or complex Hermitiandefinite generalized eigenvalue problem 
nag_sym_gen_eig_sel 
Selected eigenvalues, and optionally
the corresponding eigenvectors, of a real symmetricdefinite or complex Hermitiandefinite generalized eigenvalue problem 
Examples

Module 6.6: nag_nsym_gen_eig  Nonsymmetric Generalized Eigenvalue Problems 
nag_nsym_gen_eig_all 
All eigenvalues, and optionally eigenvectors, of a real or complex nonsymmetric generalized eigenvalue problem 
nag_gen_schur_fac 
Generalized Schur factorization of a real
or complex matrix pencil 
Examples
