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 an SGI Origin 2000
• Characteristics of the Compaq/Digital computers timed
• Characteristics of the IBM computers timed
• Characteristics of the Intel computers timed
• Characteristics of the SGI computer timed
• Characteristics of the Sun computers timed
• Speed in megaflops of DGETRF for square matrices of order n
• Speed in megaflops of 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 Power 3
• Speed in megaflops of DGEQRF for square matrices of order n
• Speed in megaflops of reductions to condensed forms on an IBM Power 3
• Execution time and Megaflop rates for DGEMV and DGEMM
• ``Standard'' floating point operation counts for LAPACK drivers for n-by-n matrices
• Performance of DGESV for n-by-n matrices
• Performance of DGEEV, eigenvalues only
• Performance of DGEEV, eigenvalues and right eigenvectors
• Performance of DGESDD, singular values only
• Performance of DGESVD, singular values and left and right singular vectors
• Performance of DGESDD, 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 $\Vert E\Vert _F < s_i \cdot {\rm sep}_i / 4$
• Asymptotic error bounds for the generalized nonsymmetric eigenvalue problem
• Global error bounds for the generalized nonsymmetric eigenvalue problem assuming $\delta \equiv \Vert(E,F)\Vert _F/{\Delta} < 1$.
• Use of the block parameters NB, NBMIN, and NX in LAPACK