Contents

• Contents
• List of Tables
• List of Figures
  • Preface
• GENERAL INFORMATION
  • Essentials
    • LAPACK95
    • Problems that LAPACK95 can Solve
    • Computers for which LAPACK95 is Suitable
    • LAPACK and the BLAS
    • Availability and Installation of Software
      • LAPACK95
      • LAPACK
      • BLAS
      • Installation Debugging Hints
      • Mirror Repositories of netlib
      • Availability of Software via CD-ROM
    • Support
    • Commercial Use
  • Contents of LAPACK95
    • Structure of LAPACK95
      • Levels of Routines
      • Data Types and Precision
      • Naming Scheme
    • Driver Routines
      • Linear Equations
      • Linear Least Squares (LLS) Problems
      • Generalized Linear Least Squares (LSE and GLM) Problems
      • Standard Eigenvalue and Singular Value Problems
      • Generalized Eigenvalue and Singular Value Problems
  • Documentation Design and Program Examples
    • Design of the LAPACK95 Driver Interface
    • Design and Documentation of Driver Argument Lists
      • Structure of the Documentation
      • Order of Arguments
      • Argument Descriptions
      • Optional Arguments
      • Array Arguments
    • Error Handling
    • Matrix Storage Schemes
    • Design of Interfaces for Computational Routines
    • How to call an LAPACK95 Routine
      • Example 1
      • Example 2
    • Code for One Version of LA_SYEV
    • LAPACK and LAPACK95 Interface Module Blocks
      • F77_LAPACK Generic Interface Blocks
      • F95_LAPACK Generic Interface Blocks
      • LA_LAMCH Interfaces
  • Performance and Troubleshooting
    • Performance of LAPACK95
      • Performance Issues
      • Performance Tables
    • Accuracy and Stability
    • Errors and Poor Performance
• DRIVER ROUTINES
  • Driver Routines for Linear Systems
    • General Linear Systems
      • LA_GESV
      • Purpose
      • Arguments
      • Examples
      • LA_GESVX
      • Purpose
      • Description
      • Arguments
      • Example (from Program LA_GESVX_EXAMPLE)
      • LA_GBSV
      • Purpose
      • Arguments
      • Examples
      • LA_GBSVX
      • Purpose
      • Description
      • Arguments
      • Example (from Program LA_GBSVX_EXAMPLE)
      • LA_GTSV
      • Purpose
      • Arguments
      • LA_GTSVX
      • Purpose
      • Description
      • Arguments
      • Example (from Program LA_GTSVX_EXAMPLE)
    • Symmetric/Hermitian Positive Definite Linear Systems
      • LA_POSV
      • Purpose
      • Arguments
      • Examples
      • LA_POSVX
      • Purpose
      • Description
      • Arguments
      • LA_PPSV
      • Purpose
      • Arguments
      • Examples
      • LA_PPSVX
      • Purpose
      • Description
      • Arguments
      • LA_PBSV
      • Purpose
      • Arguments
      • Examples
      • LA_PBSVX
      • Purpose
      • Description
      • Arguments
      • LA_PTSV
      • Purpose
      • Arguments
      • LA_PTSVX
      • Purpose
      • Description
      • Arguments
    • Symmetric Indefinite Linear Systems
      • LA_SYSV / LA_HESV
      • Purpose
      • Arguments
      • Examples
      • LA_SYSVX / LA_HESVX
      • Purpose
      • Description
      • Arguments
      • Example (from Program LA_SYSVX_EXAMPLE)
      • LA_SPSV / LA_HPSV
      • Purpose
      • Arguments
      • Examples
      • LA_SPSVX / LA_HPSVX
      • Purpose
      • Description
      • Arguments
      • Example (from Program LA_SPSVX_EXAMPLE)
  • Driver Routines for Least Squares Problems
    • Linear Least Squares Problems
      • LA_GELS
      • Purpose
      • Arguments
      • Examples
      • LA_GELSY
      • Purpose
      • Arguments
      • Example (from Program LA_GELSY_EXAMPLE)
      • LA_GELSS / LA_GELSD
      • Purpose
      • Arguments
      • Example (from Program LA_GELSS_EXAMPLE)
    • Generalized Linear Least Squares Problems
      • LA_GGLSE
      • Purpose
      • Arguments
      • Example (from Program LA_GGLSE_EXAMPLE)
      • LA_GGGLM
      • Purpose
      • Arguments
      • Example (from Program LA_GGGLM_EXAMPLE)
  • Driver Routines for Standard Eigenvalue Problems
    • Standard Symmetric Eigenvalue Problems
      • LA_SYEV / LA_HEEV / LA_SYEVD / LA_HEEVD
      • Purpose
      • Arguments
      • Examples
      • LA_SYEVX / LA_HEEVX
      • Purpose
      • Arguments
      • Example (from Program LA_SYEVX_EXAMPLE)
      • LA_SYEVR / LA_HEEVR
      • Purpose
      • Arguments
      • Example (from Program LA_SYEVR_EXAMPLE)
      • LA_SPEV / LA_HPEV / LA_SPEVD / LA_HPEVD
      • Purpose
      • Arguments
      • Examples
      • LA_SPEVX / LA_HPEVX
      • Purpose
      • Arguments
      • LA_SBEV / LA_HBEV / LA_SBEVD / LA_HBEVD
      • Purpose
      • Arguments
      • Examples
      • LA_SBEVX / LA_HBEVX
      • Purpose
      • Arguments
      • Example 1 (from Program LA_SBEVX_EXAMPLE)
      • LA_STEV / LA_STEVD
      • Purpose
      • Arguments
      • Examples
      • LA_STEVX
      • Purpose
      • Arguments
      • Example (from Program LA_STEVX_EXAMPLE)
      • LA_STEVR
      • Purpose
      • Arguments
    • Standard Nonsymmetric Eigenvalue Problems
      • LA_GEES
      • Purpose
      • Arguments
      • Examples
      • LA_GEESX
      • Purpose
      • Arguments
      • Example (from Program LA_GEESX_EXAMPLE)
      • LA_GEEV
      • Purpose
      • Arguments
      • Examples
      • LA_GEEVX
      • Purpose
      • Arguments
      • Example (from Program LA_GEEVX_EXAMPLE)
  • Driver Routines for Generalized Eigenvalue Problems
    • Generalized Symmetric Eigenvalue Problems
      • LA_SYGV /LA_SYGVD / LA_HEGV / LA_HEGVD
      • Purpose
      • Arguments
      • Examples
      • LA_SYGVX / LA_HEGVX
      • Purpose
      • Arguments
      • Example (from Program LA_SYGVX_EXAMPLE)
      • LA_SPGV / LA_SPGVD / LA_HPGV / LA_HPGVD
      • Purpose
      • Arguments
      • Examples
      • LA_SPGVX / LA_HPGVX
      • Purpose
      • Arguments
      • Example (from Program LA_HPGVX_EXAMPLE)
      • LA_SBGV / LA_SBGVD / LA_HBGV / LA_HBGVD
      • Purpose
      • Arguments
      • Examples
      • LA_SBGVX / LA_HBGVX
      • Purpose
      • Arguments
      • Example (from Program LA_SBGVX_EXAMPLE)
    • Generalized Nonsymmetric Eigenvalue Problems
      • LA_GGES
      • Purpose
      • Arguments
      • Examples
      • LA_GGESX
      • Purpose
      • Arguments
      • Example (from Program LA_GGESX_EXAMPLE)
      • LA_GGEV
      • Purpose
      • Arguments
      • Examples
      • LA_GGEVX
      • Purpose
      • Arguments
      • Example (from Program LA_GGEVX_EXAMPLE)
  • Driver Routines for Singular Value Problems
    • Standard Singular Value Problems
      • LA_GESVD / LA_GESDD
      • Purpose
      • Arguments
      • Examples
    • Generalized Singular Value Problems
      • LA_GGSVD
      • Purpose
      • Arguments
      • Examples
• COMPUTATIONAL ROUTINES
  • Computational Routines
    • Computational Routines for Linear Equations
      • General Linear Systems
      • Symmetric/Hermitian Positive Definite Linear Systems
      • Symmetric Indefinite Linear Systems
      • Triangular Linear Systems
    • Computational Routines for Orthogonal Factorizations
    • Computational Routines for the Symmetric Eigenproblem
    • Computational Routines for the Nonsymmetric eigenproblem
    • Computational Routines for the Singular Value Decomposition
    • Computational Routines for the Generalized Symmetric Definite Eigenproblem
    • Computational Routines for the Generalized Nonsymmetric Eigenproblem
    • Computational Routines for the Generalized Singular Value Decomposition
• Bibliography
• Index by Keyword
• About this document ...