contents

igeneralinformation

1essentials

1.1lapack95

1.2problemsthatlapack95cansolve

1.3computersforwhichlapack95issuitable

1.4lapackandtheblas

1.5availabilityandinstallationofsoftware

1.5.1lapack95

1.5.1.1incorporatingmachinedependencies

1.5.2lapack

1.5.3blas

1.5.4installationdebugginghints

1.5.5mirrorrepositoriesofnetlib

1.5.6availabilityofsoftwareviacd-rom

1.6support

/>1.7commercialuse

2contentsoflapack95

2.1structureoflapack95

.2.1.1levelsofroutines

2.1.2datatypesandprecision

2.1.3namingscheme

2.2driverroutines

2.2.1linearequations

2.2.2linearleastsquares(lls)problems

2.2.3generalizedlinearleastsquares(lseandglm)problems

2.2.4standardeigenvalueandsingularvalueproblems

2.2.4.1symmetriceigenproblems(sep)

2.2.4.2nonsymmetriceigenproblems(nep)

2.2.4.3singularvaluedecomposition(svd)

2.2.5generalizedeigenvalueandsingularvalueproblems

2.2.5.1generalizedsymmetricdefiniteeigenproblems(gsep)

2.2.5.2generalizednonsymmetriceigenproblems(gnep)

2.2.5.3generalizedsingularvaluedecomposition(gsvd)

3documentationdesignandprogramexamples

3.1designofthelapack95driverinterface

3.2designanddocumentationofdriverargumentlists

3.2.1structureofthedocumentation

3.2.2orderofarguments

3.2.3argumentdescriptions

3.2.4optionalarguments

3.2.5arrayarguments

3.3errorhandling

3.4matrixstorageschemes

3.5designofinterfacesforcomputationalroutines

3.6howtocallanlapack95routine

3.7codeforoneversionofla_syev

3.8lapackandlapack95interfacemoduleblocks

3.8.1f77_lapackgenericinterfaceblocks

3.8.1.1la_syev/la_heev

3.8.1.2la_gesvmultiplerhscase

3.8.1.3la_gesvsinglerhscase

3.8.2f95_lapackgenericinterfaceblocks

3.8.2.1la_syev/la_heev

3.8.2.2la_gesv

3.8.3la_lamchinterfaces

4performanceandtroubleshooting

4.1performanceoflapack95

4.1.1performanceissues

4.1.2performancetables

4.2accuracyandstability

4.3errorsandpoorperformance

iidriverroutines

5driverroutinesforlinearsystems

5.1generallinearsystems

5.1.1la_gesv

5.1.2la_gesvx

5.1.3la_gbsv

5.1.4la_gbsvx

5.1.5la_gtsv

5.1.6la_gtsvx

5.2symmetric/hermitianpositivedefinitelinearsystems

5.2.1la-posv

5.2.2la-posvx

5.2.3la-ppsv

5.2.4la-ppsvx

5.2.5la_pbsv

5.2.6la_pbsvx

5.2.7la_ptsv

5.2.8la_ptsvx

5.3symmetricindefinitelinearsystems

5.3.1la_sysv/la_hesv

5.3.2la_sysvx/la_hesvx

5.3.3la_spsv/la_hpsv

5.3.4la_spsvx/la_hpsvx

6driverroutinesforleastsquaresproblems

6.1linearleastsquaresproblems

6.1.1la_gels

6.1.2la_gelsy

6.1.3la_gelss/la_gelsd

6.2generalizedlinearleastsquaresproblems

6.2.1la_gglse

6.2.2la_ggglm

7driverroutinesforstandardeigenvalueproblems

7.1standardsymmetriceigenvalueproblems

7.1.1la_syev/la_heev/la_syevd/la_heevd

7.1.2la_syevx/la_heevx

7.1.3la_syevr/la_heevr

7.1.4la.spev/la_hpev/la_spevd/la_hpevd

7.1.5la.spevx/la_hpevx

7.1.6la,sbev/la_hbev/la_sbevd/la_hbevd

7.1.7la_sbevx/la_hbevx

7.1.8la_stev/la_stevd

7.1.9la_sbevx

7.1.10la_stevr

7.2standardnonsymmetriceigenvalueproblems

7.2.1la_gees

7.2.2la_geesx

7.2.3la_geev

7.2.4la_geevx

8driverroutinesforgeneralizedeigenvalueproblems

8.1generalizedsymmetriceigenvalueproblems

8.1.1la_sygv/la_sygvd/la_hegv/la_hegvd

8.1.2la_sygvx/la_hegvx

8.1.3la_spgv/la_spgvd/la_hpgv/la_hpgvd

8.1.4la_spgvx/la_hpgvx

8.1.5la_sbgv/la_sbgvd/la_hbgv/la_hbgvd

8.1.6la_sbgvx/la_hbgvx

8.2generalizednonsymmetriceigenvalueproblems

8.2.1la_gges

8.2.2la_ggesx

8.2.3la_ggev

8.2.4la_ggevx

9driverroutinesforsingularvalueproblems

9.1standardsingularvalueproblems

9.1.1la_gesvd/la_gesdd

9.2generalizedsingularvalueproblems

9.2.1la_ggsvd

iiicomputationalroutines

10computationalroutines

10.1computationalroutinesforlinearequations

10.1.1generallinearsystems

10.1.2symmetric/hermitianpositivedefinitelinearsystems

10.1.3symmetricindefinitelinearsystems

10.1.4triangularlinearsystems

10.2computationalroutinesfororthogonalfactorizations

10.3computationalroutinesforthesymmetriceigenproblem

10.4computationalroutinesforthenonsymmetriceigenproblem

10.5computationalroutinesforthesingularvaluedecomposition

10.6computationalroutinesforthegeneralizedsymmetricdefiniteeigenproblem

10.7computationalroutinesforthegeneralizednonsymmetriceigenproblem

10.8computationalroutinesforthegeneralizedsingularvaluedecomposition

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