Table of Contents

1 Lanczos Procedures.- 1.1 Introduction.- 1.2 What are Lanczos Procedures?.- 1.3 Comments and Disclaimers.- 2 Real Symmetric Matrices.- 2.1 Introduction.- 2.2 Documentation for the Programs in Chapters 2,3,4,5.- 2.3 Main Program, Eigenvalue Computations.- 2.4 Main Program, Eigenvector Computations.- 2.5 LANCZS and Sample Matrix-Vector Multiply Subroutines.- 2.6 Other Subroutines used by the Programs in Chapters 2,3,4,5.- 2.7 Optional Preprocessing Program, File Definitions, Sample Input/Output Files.- 3 Hermitian Matrices.- 3.1 Introduction.- 3.2 Main Program, Eigenvalue Computations.- 3.3 Main Program, Eigenvector Computations.- 3.4 LANCZS and Sample Matrix-Vector Multiply Subroutines.- 3.5 File Definitions and Sample Input Files.- 4 Factored Inverses of Real, Symmetric Matrices.- 4.1 Introduction.- 4.2 Main Program, Eigenvalue Computations.- 4.3 Main Program, Eigenvector Computations.- 4.4 LANCZS and Sample Matrix-Vector Solve Subroutines.- 4.5 Optional Preprocessing Programs for Chapters 4,5,9.- 4.6 File Definitions and Sample Input Files.- 5 Real, Symmetric Generalized Problems.- 5.1 Introduction.- 5.2 Main Program, Eigenvalue Computations.- 5.3 Main Program, Eigenvector Computations.- 5.4 LANCZS and Sample Matrix-Vector Multiply and Solve Subroutines.- 5.5 File Definitions and Sample Input Files.- 6 Real Rectangular Matrices.- 6.1 Introduction.- 6.2 Documentation for the Programs in Chapter 6.- 6.3 Main Program, Singular Value Computations.- 6.4 Main Program, Singular Vector Computations.- 6.5 LANCZS and Sample Matrix-Vector Multiply Subroutines.- 6.6 Other Subroutines used by the Programs in Chapter 6.- 6.7 Optional Preprocessing Program, File Definitions, and Sample Input Files.- 7 Nondefective, Complex Symmetric Matrices.- 7.1 Introduction.- 7.2 Documentation for the Programs in Chapter 7.- 7.3 Main Program, Eigenvalue Computations.- 7.4 Main Program, Eigenvector Computations.- 7.5 LANCZS and Sample Matrix-Vector Multiply Subroutines.- 7.6 Other Subroutines used by the Programs in Chapter 7.- 7.7 Optional Preprocessing Program, File Definitions, and Sample Input Files.- 8 Real Symmetric Matrices, Block Lanczos Code.- 8.1 Introduction to Chapter 8.- 8.2 Documentation for the Programs in Chapters 8 and 9.- 8.3 Main Program, Eigenvalue and Eigenvector Computations.- 8.4 Sample Matrix-Vector Multiply Subroutines.- 8.5 Other Subroutines used by the Programs in Chapters 8 and 9 462 8.6. File Definitions and Sample Input Files.- 9 Factored Inverses, Real Symmetric Matrices, Block Lanczos Code.- 9.1 Introduction to Chapter 9.- 9.2 Main Program, Eigenvalue and Eigenvector Computations.- 9.3 Sample Matrix-Vector Solve Subroutines.- 9.4 File Definitions and Sample Input File.- References.- Index to Fortran Programs.