List of Tables

• Matrix types in the LAPACK naming scheme
• Driver routines for linear equations
• Driver routines for linear least squares problems
• Driver routines for generalized linear least squares problems
• Driver routines for standard eigenvalue and singular value problems
• Driver routines for generalized eigenvalue and singular value problems
• Computational routines for linear equations
• Computational routines for linear equations (continued)
• Computational routines for orthogonal factorizations
• Computational routines for the symmetric eigenproblem
• Computational routines for the nonsymmetric eigenproblem
• Computational routines for the singular value decomposition
• Reduction of generalized symmetric definite eigenproblems to standard problems
• Computational routines for the generalized symmetric definite eigenproblem
• Computational routines for the generalized nonsymmetric eigenproblem
• Computational routines for the generalized singular value decomposition
• Speed in megaflops of Level 2 and Level 3 BLAS operations on a CRAY C90
• Clock Speeds of Computers in Timing Results
• Speed in megaflops of SGETRF/DGETRF for square matrices of order n
• Speed in megaflops of SPOTRF/DPOTRF for matrices of order n with UPLO = `U'
• Speed in megaflops of DSYTRF for matrices of order n with UPLO = `U' on an IBM POWER2 model 590
• Speed in megaflops of SGEQRF/DGEQRF for square matrices of order n

• Speed in megaflops of reductions to condensed forms on an IBM POWER2 model 590
• Execution time and Megaflop rates for SGEMV/DGEMV and SGEMM/DGEMM
• ``Standard'' floating point operation counts for LAPACK drivers for n-by-n matrices
• Performance of SGESV/DGESV for n-by-n matrices
• Performance of SGELS/DGELS for n-by-n matrices
• Performance of SGEEV/DGEEV, eigenvalues only
• Performance of SGEEV/DGEEV, eigenvalues and right eigenvectors
• Performance of SSYEVD/DSYEVD, eigenvalues only, UPLO='U'
• Performance of SSYEVD/DSYEVD, eigenvalues and eigenvectors, UPLO='U'
• Performance of SGESVD/DGESVD, singular values only
• Performance of SGESVD/DGESVD, singular values and left and right singular vectors
• Values of Machine Parameters in IEEE Floating Point Arithmetic
• Vector and matrix norms
• Bounding One Vector Norm in Terms of Another
• Bounding One Matrix Norm in Terms of Another
• Asymptotic error bounds for the nonsymmetric eigenproblem
• Global error bounds for the nonsymmetric eigenproblem assuming
• Use of the block parameters NB, NBMIN, and NX in LAPACK

• Preface to the Second Edition
• Preface to the First Edition