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<H2><A NAME="SECTION01000000000000000000">
Contents</A>
</H2>
<!--Table of Contents-->
<UL>
<LI><A NAME="tex2html3819"
HREF="node1.html">Contents</A>
<LI><A NAME="tex2html3820"
HREF="node2.html">List of Tables</A>
<LI><A NAME="tex2html3821"
HREF="node5.html">Guide</A>
<UL>
<LI><A NAME="tex2html3822"
HREF="node6.html">Essentials</A>
<UL>
<LI><A NAME="tex2html3823"
HREF="node7.html">LAPACK</A>
<LI><A NAME="tex2html3824"
HREF="node8.html">Problems that LAPACK can Solve</A>
<LI><A NAME="tex2html3825"
HREF="node9.html">Computers for which LAPACK is Suitable</A>
<LI><A NAME="tex2html3826"
HREF="node10.html">LAPACK Compared with LINPACK and EISPACK</A>
<LI><A NAME="tex2html3827"
HREF="node11.html">LAPACK and the BLAS</A>
<LI><A NAME="tex2html3828"
HREF="node12.html">Availability of LAPACK</A>
<LI><A NAME="tex2html3829"
HREF="node13.html">Commercial Use of LAPACK</A>
<LI><A NAME="tex2html3830"
HREF="node14.html">Installation of LAPACK</A>
<LI><A NAME="tex2html3831"
HREF="node15.html">Documentation for LAPACK</A>
<LI><A NAME="tex2html3832"
HREF="node16.html">Support for LAPACK</A>
<LI><A NAME="tex2html3833"
HREF="node17.html">Errata in LAPACK</A>
<LI><A NAME="tex2html3834"
HREF="node18.html">Other Related Software</A>
</UL>
<LI><A NAME="tex2html3835"
HREF="node19.html">Contents of LAPACK</A>
<UL>
<LI><A NAME="tex2html3836"
HREF="node20.html">What's new in version 3.0?</A>
<LI><A NAME="tex2html3837"
HREF="node21.html">Structure of LAPACK</A>
<UL>
<LI><A NAME="tex2html3838"
HREF="node22.html">Levels of Routines</A>
<LI><A NAME="tex2html3839"
HREF="node23.html">Data Types and Precision</A>
<LI><A NAME="tex2html3840"
HREF="node24.html">Naming Scheme</A>
</UL>
<LI><A NAME="tex2html3841"
HREF="node25.html">Driver Routines</A>
<UL>
<LI><A NAME="tex2html3842"
HREF="node26.html">Linear Equations</A>
<LI><A NAME="tex2html3843"
HREF="node27.html">Linear Least Squares (LLS) Problems</A>
<LI><A NAME="tex2html3844"
HREF="node28.html">Generalized Linear Least Squares (LSE and GLM) Problems</A>
<LI><A NAME="tex2html3845"
HREF="node29.html">Standard Eigenvalue and Singular Value Problems</A>
<LI><A NAME="tex2html3846"
HREF="node33.html">Generalized Eigenvalue and Singular Value
Problems</A>
</UL>
<LI><A NAME="tex2html3847"
HREF="node37.html">Computational Routines</A>
<UL>
<LI><A NAME="tex2html3848"
HREF="node38.html">Linear Equations</A>
<LI><A NAME="tex2html3849"
HREF="node39.html">Orthogonal Factorizations and Linear Least Squares Problems</A>
<LI><A NAME="tex2html3850"
HREF="node45.html">Generalized Orthogonal Factorizations and Linear Least Squares Problems</A>
<LI><A NAME="tex2html3851"
HREF="node48.html">Symmetric Eigenproblems</A>
<LI><A NAME="tex2html3852"
HREF="node49.html">Nonsymmetric Eigenproblems</A>
<LI><A NAME="tex2html3853"
HREF="node53.html">Singular Value Decomposition</A>
<LI><A NAME="tex2html3854"
HREF="node54.html">Generalized Symmetric Definite Eigenproblems</A>
<LI><A NAME="tex2html3855"
HREF="node55.html">Generalized Nonsymmetric Eigenproblems</A>
<LI><A NAME="tex2html3856"
HREF="node59.html">Generalized (or Quotient) Singular Value Decomposition</A>
</UL>
</UL>
<LI><A NAME="tex2html3857"
HREF="node60.html">Performance of LAPACK</A>
<UL>
<LI><A NAME="tex2html3858"
HREF="node61.html">Factors that Affect Performance</A>
<UL>
<LI><A NAME="tex2html3859"
HREF="node62.html">Vectorization</A>
<LI><A NAME="tex2html3860"
HREF="node63.html">Data Movement</A>
<LI><A NAME="tex2html3861"
HREF="node64.html">Parallelism</A>
</UL>
<LI><A NAME="tex2html3862"
HREF="node65.html">The BLAS as the Key to Portability</A>
<LI><A NAME="tex2html3863"
HREF="node66.html">Block Algorithms and their
Derivation</A>
<LI><A NAME="tex2html3864"
HREF="node67.html">Examples of Block Algorithms in LAPACK</A>
<UL>
<LI><A NAME="tex2html3865"
HREF="node68.html">Factorizations for Solving Linear Equations</A>
<LI><A NAME="tex2html3866"
HREF="node69.html">QR Factorization</A>
<LI><A NAME="tex2html3867"
HREF="node70.html">Eigenvalue Problems</A>
</UL>
<LI><A NAME="tex2html3868"
HREF="node71.html">LAPACK Benchmark</A>
</UL>
<LI><A NAME="tex2html3869"
HREF="node72.html">Accuracy and Stability</A>
<UL>
<LI><A NAME="tex2html3870"
HREF="node73.html">Sources of Error in Numerical Calculations</A>
<UL>
<LI><A NAME="tex2html3871"
HREF="node74.html">Further Details: Floating Point Arithmetic</A>
</UL>
<LI><A NAME="tex2html3872"
HREF="node75.html">How to Measure Errors</A>
<UL>
<LI><A NAME="tex2html3873"
HREF="node76.html">Further Details: How to Measure Errors</A>
</UL>
<LI><A NAME="tex2html3874"
HREF="node77.html">Further Details: How Error Bounds Are Derived</A>
<UL>
<LI><A NAME="tex2html3875"
HREF="node78.html">Standard Error Analysis</A>
<LI><A NAME="tex2html3876"
HREF="node79.html">Improved Error Bounds</A>
</UL>
<LI><A NAME="tex2html3877"
HREF="node80.html">Error Bounds for Linear Equation Solving</A>
<UL>
<LI><A NAME="tex2html3878"
HREF="node81.html">Further Details: Error Bounds for Linear Equation Solving</A>
</UL>
<LI><A NAME="tex2html3879"
HREF="node82.html">Error Bounds for Linear Least Squares Problems</A>
<UL>
<LI><A NAME="tex2html3880"
HREF="node83.html">Further Details: Error Bounds for Linear Least Squares
Problems</A>
</UL>
<LI><A NAME="tex2html3881"
HREF="node84.html">Error Bounds for Generalized Least Squares Problems</A>
<UL>
<LI><A NAME="tex2html3882"
HREF="node85.html">Linear Equality Constrained Least Squares Problem</A>
<LI><A NAME="tex2html3883"
HREF="node87.html">General Linear Model Problem</A>
</UL>
<LI><A NAME="tex2html3884"
HREF="node89.html">Error Bounds for the Symmetric Eigenproblem </A>
<UL>
<LI><A NAME="tex2html3885"
HREF="node90.html">Further Details: Error Bounds for the Symmetric Eigenproblem </A>
</UL>
<LI><A NAME="tex2html3886"
HREF="node91.html">Error Bounds for the Nonsymmetric Eigenproblem </A>
<UL>
<LI><A NAME="tex2html3887"
HREF="node92.html">Further Details: Error Bounds for the Nonsymmetric Eigenproblem</A>
</UL>
<LI><A NAME="tex2html3888"
HREF="node96.html">Error Bounds for the Singular Value Decomposition</A>
<UL>
<LI><A NAME="tex2html3889"
HREF="node97.html">Further Details: Error Bounds for the Singular Value Decomposition</A>
</UL>
<LI><A NAME="tex2html3890"
HREF="node98.html">Error Bounds for the Generalized Symmetric Definite
Eigenproblem</A>
<UL>
<LI><A NAME="tex2html3891"
HREF="node99.html">Further Details: Error Bounds for the Generalized Symmetric Definite
Eigenproblem</A>
</UL>
<LI><A NAME="tex2html3892"
HREF="node100.html">Error Bounds for the Generalized Nonsymmetric Eigenproblem</A>
<UL>
<LI><A NAME="tex2html3893"
HREF="node101.html">Further Details: Error Bounds for the Generalized
Nonsymmetric Eigenproblem</A>
</UL>
<LI><A NAME="tex2html3894"
HREF="node106.html">Error Bounds for the Generalized Singular Value Decomposition</A>
<UL>
<LI><A NAME="tex2html3895"
HREF="node107.html">Further Details: Error Bounds for the Generalized Singular Value Decomposition</A>
</UL>
<LI><A NAME="tex2html3896"
HREF="node108.html">Error Bounds for Fast Level 3 BLAS</A>
</UL>
<LI><A NAME="tex2html3897"
HREF="node109.html">Documentation and Software Conventions</A>
<UL>
<LI><A NAME="tex2html3898"
HREF="node110.html">Design and Documentation of Argument Lists</A>
<UL>
<LI><A NAME="tex2html3899"
HREF="node111.html">Structure of the Documentation</A>
<LI><A NAME="tex2html3900"
HREF="node112.html">Order of Arguments</A>
<LI><A NAME="tex2html3901"
HREF="node113.html">Argument Descriptions</A>
<LI><A NAME="tex2html3902"
HREF="node114.html">Option Arguments</A>
<LI><A NAME="tex2html3903"
HREF="node115.html">Problem Dimensions</A>
<LI><A NAME="tex2html3904"
HREF="node116.html">Array Arguments</A>
<LI><A NAME="tex2html3905"
HREF="node117.html">Work Arrays</A>
<LI><A NAME="tex2html3906"
HREF="node118.html">LWORK Query</A>
<LI><A NAME="tex2html3907"
HREF="node119.html">Error Handling and the Diagnostic Argument INFO</A>
</UL>
<LI><A NAME="tex2html3908"
HREF="node120.html">Determining the Block Size for Block Algorithms</A>
<LI><A NAME="tex2html3909"
HREF="node121.html">Matrix Storage Schemes</A>
<UL>
<LI><A NAME="tex2html3910"
HREF="node122.html">Conventional Storage</A>
<LI><A NAME="tex2html3911"
HREF="node123.html">Packed Storage</A>
<LI><A NAME="tex2html3912"
HREF="node124.html">Band Storage</A>
<LI><A NAME="tex2html3913"
HREF="node125.html">Tridiagonal and Bidiagonal Matrices</A>
<LI><A NAME="tex2html3914"
HREF="node126.html">Unit Triangular Matrices</A>
<LI><A NAME="tex2html3915"
HREF="node127.html">Real Diagonal Elements of Complex Matrices</A>
</UL>
<LI><A NAME="tex2html3916"
HREF="node128.html">Representation of Orthogonal or Unitary Matrices</A>
</UL>
<LI><A NAME="tex2html3917"
HREF="node129.html">Installing LAPACK Routines</A>
<UL>
<LI><A NAME="tex2html3918"
HREF="node130.html">Points to Note</A>
<LI><A NAME="tex2html3919"
HREF="node131.html">Installing ILAENV</A>
</UL>
<LI><A NAME="tex2html3920"
HREF="node132.html">Troubleshooting</A>
<UL>
<LI><A NAME="tex2html3921"
HREF="node134.html">Installation Debugging Hints</A>
<LI><A NAME="tex2html3922"
HREF="node135.html">Common Errors in Calling LAPACK Routines</A>
<LI><A NAME="tex2html3923"
HREF="node136.html">Failures Detected by LAPACK Routines</A>
<UL>
<LI><A NAME="tex2html3924"
HREF="node137.html">Invalid Arguments and XERBLA</A>
<LI><A NAME="tex2html3925"
HREF="node138.html">Computational Failures and INFO > 0</A>
</UL>
<LI><A NAME="tex2html3926"
HREF="node139.html">Wrong Results</A>
<LI><A NAME="tex2html3927"
HREF="node140.html">Poor Performance</A>
</UL>
<LI><A NAME="tex2html3928"
HREF="node141.html">Index of Driver and Computational Routines</A>
<LI><A NAME="tex2html3929"
HREF="node143.html">Index of Auxiliary Routines</A>
<LI><A NAME="tex2html3930"
HREF="node145.html">Quick Reference Guide to the BLAS</A>
<LI><A NAME="tex2html3931"
HREF="node146.html">Converting from LINPACK or EISPACK</A>
<LI><A NAME="tex2html3932"
HREF="node148.html">LAPACK Working Notes</A>
</UL>
<LI><A NAME="tex2html3933"
HREF="node149.html">Specifications of Routines</A>
<LI><A NAME="tex2html3934"
HREF="node151.html">Bibliography</A>
<LI><A NAME="tex2html3935"
HREF="node152.html">Index by Keyword</A>
</UL>
<!--End of Table of Contents-->
<P>
<BR><HR>
<ADDRESS>
<I>Susan Blackford</I>
<BR><I>1999-10-01</I>
</ADDRESS>
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