Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. II Programs
Published on 15. June 2012
Book
Paperback/Softback
VIII, 500 pages
978-1-4684-9180-7 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1985
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
VIII, 500 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 28 mm
Weight
768 gr
ISBN-13
978-1-4684-9180-7 (9781468491807)
DOI
10.1007/978-1-4684-9178-4
Schweitzer Classification
Other editions
Additional editions
CULLUM | WILLOUGHBY
Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. II Programs
Book
01/1984
Springer
€91.07
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Content
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.