LAPACK Contributors

Sponsor

Since 2010, this material is based upon work supported by the National Science Foundation under Grant No. NSF-OCI-1032861. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF). Until 2006, this material was based upon work supported by the National Science Foundation under Grant No. ASC-9313958, NSF-0444486 and DOE Grant No. DE-FG03-94ER25219. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF) or the Department of Energy (DOE).

Contributing institutions

University of Rousse; Bulgaria
University of Zagreb; Croatia
Danish Computing Center for Research and Education; Denmark
Technical University of Denmark; Denmark
Fernuniversitaet Hagen; Germany
Technical University Aachen; Germany
IBM ECSEC; Italia
Universidad Jaime I; Spain
Umeå University; Sweden
ETH Zurich; Switzerland
Numerical Algorithms Group Ltd. (NAG); UK
University of Manchester; UK
Cray Research, Inc; US
Duke University; US
Georgia Institute of Technology; US
IBM Watson Research Center; US
Intel Corp., US
Kitware, US
Lawrence Berkeley National Laboratory; US
Oak Ridge National Laboratory; US
Randolph-Macon College; US
Rice University; US
University of California, Berkeley; US
University of California, Davis; US
University of Colorado Denver; US
University of Kansas; US
University of Kentucky; US
University of Tennessee; US
University of Washington; US

Contributor list

Ed Anderson (Cray Research Inc. and University of Tennessee; US),
Chuck Atkins (Kitware; US),
Zhaojun Bai (University of Kentucky and University of California, Davis; US),
V. A. Barker (Technical University of Denmark; Denmark),
Chris Bischof (Technical University Aachen; Germany),
Susan Blackford (University of Tennessee; US),
Zvonomir Bujanovic (University of Zagreb; Croatia),
Karen Braman (University of Kansas; US),
Ralph Byers (University of Kansas; US),
Jim Demmel (University of California, Berkeley; US),
Inderjit Dhillon (University of California, Berkeley; US),
Jack Dongarra (University of Tennessee and Oak Ridge National Laboratory; US),
Zlatko Drmac (University of Zagreb; Croatia),
Peng Du (University of Tennessee; US),
Jeremy Du Croz (Numerical Algorithms Group Ltd. (NAG); UK),
Mark Fahey (University of Kentucky; US),
Anne Greenbaum (University of Washington; US),
Ming Gu (University of California, Berkeley; US),
Fred Gustavson (IBM Watson Research Center; US),
Deaglan Halligan (University of California, Berkeley; US),
Sven Hammarling (Numerical Algorithms Group Ltd. (NAG); UK),
Yozo Hida (University of California, Berkeley; US),
Nick Higham (University of Manchester; UK),
Bill Hoffman (Kitware; US),
Intel MKL team (Intel Corp.; US),
Bo Kagström (Umeå University; Sweden),
Daniel Kressner (ETH Zurich; Switzerland),
William Kahan (University of California, Berkeley ; US),
Julie Langou, (University of Tennessee; US),
Julien Langou (University of Colorado Denver; US),
Craig Lucas, (University of Manchester and NAG Ltd., UK;),
Piotr Luszczek, (University of Tennessee; US),
Ren-Cang Li (University of California, Berkeley; US),
Xiaoye Li (Lawrence Berkeley National Laboratory; US),
M. Marinova (Danish Computing Center for Research and Education; Denmark),
Osni Marques (Lawrence Berkeley National Laboratory; US),
Peter Mayes (IBM ECSEC; Italia),
Alan McKenney (no affiliation),
Beresford Parlett (University of California, Berkeley; US),
Antoine Petitet (University of Tennessee; US),
Peter Poromaa (Umeå University; Sweden),
Enrique Quintana-Ortí (Universidad Jaime I; Spain),
Gregorio Quintana-Ortí (Universidad Jaime I; Spain),
Giuseppe Radicati (IBM ECSEC; Italia),
Huan Ren (University of California, Berkeley; US),
Jason Riedy (University of California, Berkeley; US; and Georgia Institute of Technology; US),
Jeff Rutter (University of California, Berkeley; US),
Edward Smyth (Numerical Algorithms Group Ltd. (NAG); UK),
Danny Sorensen (Rice University; US),
Ken Stanley (University of California, Berkeley; US),
Xiaobai Sun (Duke University; US)
Brian Sutton (Randolph-Macon College; US),
Françoise Tisseur (University of Tennessee; US),
Robert A. van de Geijn (University of Texas at Austin; US),
Kresimir Veselic (Fernuniversitaet Hagen; Germany)
Christof Voemel (University of California, Berkeley and Lawrence Berkeley National Laboratory; US).
Meghanath Vishvanath (University of California, Berkeley; US),
David Vu (University of California, Berkeley; US),
Jerzy Waśniewski (Technical University of Denmark, Denmark),
P. Yalamov (University of Rousse; Bulgaria).

Thanks for bug-report/patches/suggestions to:

LAPACK 3.3:

Allin Cottrell (Wake Forest University),
Mathew Cross (NAG),
Zlatko Drmac (University of Zagreb, Croatia),
Victor Liu, (Stanford University, Palo Alto),
the Numpy team,
Bart Oldeman, (Montreal, Quebec)
Stephan Ripke (Broad Institute, Boston),
Ake Sandgren (HPC2N, Umea University),
Clint Whaley (University of Texas at San Antonio).

LAPACK 3.2.2:

Marco Atzeri
Guy Bencteux (CERMICS, France)
Michael Chuvelev (Intel)
Mathew Cross (NAG)
William Gandler (NIH/CIT)
Tim Hopkins
"Jan"
Ondra Kamenik
Alexander V. Kobotov (Intel)
Ashutosh Mahajan (Mathematics and Computer Science Division of Argonne National Labs)
Lawrence Mulholland (NAG)
Pat Quillen (MathWorks)
Paul Roberts (NAG)
Vasile Sima (National Institute for Research & Development in Informatics, Romania)
Sergei Steshenko
Kevin Wadleigh
Zbigniew

LAPACK 3.2.1:

Guy Bencteux (CERMICS, France)
Edouard Canot (IRISA, France)
Michael Chuvelev (Intel)
"faber80"
Bruno Pincon (ESIAL, France)
Vasile Sima (National Institute for Research & Development in Informatics, Romania)
Christof Voemel
Daniel Waggoner
Igor Zhuravlov

LAPACK 3.2:

Patrick Alken (University of Colorado at Boulder, USA),
Penny Anderson (MathWorks, MA, USA),
Michael Baudin (Scilab, FR),
Bobby Cheng (MathWorks, MA, USA),
Michael Chuvelev (Intel, USA),
Phil DeMier (IBM, USA),
Michel Devel (UTINAM institute, University of Franche-Comte, UMR CNRSA, FR),
Alan Edelmann (Massachusetts Institute of Technology, MA, USA),
Carlo de Falco and all the Octave developers,
Fernando Guevara (University of Utah, UT, USA),
Christian Keil,
Zbigniew Leyk (Wolfram, USA),
Cleve Moler (MathWorks, MA, USA),
Joao Moreira de Sa Coutinho,
Lawrence Mulholland (NAG, UK),
Duncan Po (MathWorks, MA, USA),
Mick Pont (NAG, UK),
Pat Quillen (MathWorks, MA, USA),
Clint Whaley (University of Texas at San Antonio, TX, USA),
Mikhail Wolfson (MIT, USA),
Vittorio Zecca.

LAPACK 3.1.1:

Tobias Burns
Daniel Kressner
Michael Wimmer

LAPACK 3.1:

Eduardo Anglada (Universidad Autonoma de Madrid, Spain)
David Barnes (University of Kent, England)
Alberto Garcia (Universidad del Pais Vasco, Spain)
Tim Hopkins (University of Kent, England)
Javier Junquera (CITIMAC, Universidad de Cantabria, Spain)
Mathworks: Penny Anderson, Bobby Cheng, Pat Quillen, Cleve Moler, Duncan Po, Bin Shi, Greg Wolodkin (MathWorks, USA)
George McBane (Grand Valley State University, USA)
Matyas Sustik (University of Texas at Austin, USA)
Michael Wimmer (Universität Regensburg, Germany)
Simon Wood (University of Bath, UK) and in more generally all the R developers

Principal Investigators

Jim Demmel (University of California, Berkeley; US; Since 1992),
Jack Dongarra (University of Tennessee and Oak Ridge National Laboratory; US; Since 1992),
Julien Langou (University of Colorado Denver; US; Since 2006).

Contributors and their contributions

(single precision routine only for some fields)

CS Decomposition — SORCSD

Brian Sutton, Randolph-Macon College; US

A cuncsd    A dorcsd    A sorcsd      A zuncsd
A cunbdb    A dorbdb    A sorbdb      A zunbdb
A cbbcsd    A dbbcsd    A sbbcsd      A zbbcsd
A clapmr    A dlapmr    A slampr      A zlapmr
            A dlartgp   A slartgp
            A dlartgs   A slartgs

Secular Equation Solver (used in the Divide and Conquer Algorithm) — SLASD4

Ren-Cang Li, Computer Science Division, University of California at Berkeley, US
```
SLASD4
SLASD5
```

Pivoted Cholesky

Craig Lucas, (University of Manchester and NAG Ltd., UK)

A SRC/cpstf2.f   A SRC/dpstf2.f   A SRC/spstf2.f   A SRC/zpstf2.f
A SRC/cpstrf.f   A SRC/dpstrf.f   A SRC/spstrf.f   A SRC/zpstrf.f

Machine Parameter Routine — SLAMCH

Piotr Luszczek, (University of Tennessee; US),
Jason Riedy (Georgia Institute of Technology; US),
```
M dlamch.f
M slamch.f
```

Condition Number Estimate Subroutine — SLACN2

Nick Higham, University of Manchester

SLACN2
deprecated: SLACON (not thread safe)

General purpose auxiliary routines

Nick Higham, University of Manchester
```
SCSUM1
```

Level-3 BLAS symmetric indefinite solve and symmetric indefinite inversion

Julie Langou, (University of Tennessee; US),

M chesv.f        M dsysv.f         M ssysv.f       M zhesv.f
A chetrs2.f      A dsytrs2.f       A ssytrs2.f     A zhetrs2.f
A csyconv.f      A dsyconv.f       A ssyconv.f     A zsyconv.f
A csyswapr.f     A dsyswapr.f      A ssyswapr.f    A zsyswapr.f
A csytri2.f      A dsytri2.f       A ssytri2.f     A zsytri2.f
A csytri2x.f     A dsytri2x.f      A ssytri2x.f    A zsytri2x.f

Mixed precision iterative refinement subroutines for exploiting fast single precision hardware

Julie Langou, (University of Tennessee; US),
Julien Langou (University of Colorado Denver; US; 2006-).
```
A SRC/dsposv.f          A SRC/zcposv.f
A SRC/dsgesv.f          A SRC/zcgesv.f
```

Jacobi SVD Algorithm — SGEJSV & SGESVJ

Zlatko Drmac of the University of Zagreb
Kresimir Veselic of the Fernuniversitaet Hagen
```
SGEJSV
SGESVJ
SGSVJ0
SGSVJ1
```

Divide & Conquer SVD Algorithm — SGESDD

Linear Least Squares solver based on Divide & Conquer SVD Algorithm — SGELSD

Ming Gu, Computer Science Division, University of California at Berkeley, US

Huan Ren, Computer Science Division, University of California at Berkeley, US

SBDSDC
SLASD0
SLASD1
SLASD2
SLASD3
SLASD6
SLASD7
SLASD8
SLASDA
SLASDQ
SLASDT
SGESDD

Ming Gu, Computer Science Division, University of California at Berkeley, US
Ren-Cang Li, Computer Science Division, University of California at Berkeley, US
Osni Marques, LBNL/NERSC, US
```
SGELSD, SLALS0, SLALSA, SLALASD
```

QR factorization with column pivoting (Level 3 BLAS) — SGEQP3

G. Quintana Ortí, Depto. de Informatica, Universidad Jaime I, Spain
X. Sun, Computer Science Dept., Duke University, US
```
SGEQP3
```
G. Quintana Ortí, Depto. de Informatica, Universidad Jaime I, Spain
X. Sun, Computer Science Dept., Duke University, US
Z. Drmac and Z. Bujanovic, Dept. of Mathematics, University of Zagreb, Croatia.
```
SGEQPF (deprecated), SLAQP2, SLAQPS
```

Linear Least Squares solver based on QR factorization with column pivoting — SGELSY

A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, US
E. Quintana Ortí, Depto. de Informatica, Universidad Jaime I, Spain
G. Quintana Ortí, Depto. de Informatica, Universidad Jaime I, Spain
```
SGELSY
```
A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, US
```
SLARZ
SLARZB
SLARZT
SLATRZ
SORMR3
SORMRZ
STZRZF
```

Nonsymmetric Eigenvalue Problem — NEP — SGEEV

Multishift QR algorithm with Aggressive Early Deflation — SHSEQR

Karen Braman (University of Kansas; US),
Ralph Byers (University of Kansas; US),
```
SHSEQR, SLAQR0, SLAQR1, SLAQR2, SLAQR3, SLAQR4, SLAQR5
```

Generalized Schur Decomposition Reordering — STGSEN

Generalized Sylvester Equation Solver — STGSYL

Bo Kagström, Umeå University; Sweden

Peter Poromaa, Umeå University; Sweden

SGESC2
SLATDF
STGEX2
STGEXC
STGSEN
STGSNA
STGSY2
STGSYL
SGETC2

Extra Precise Iterative Refinement Routines

James Demmel, Univ. of California, Berkeley, US
Deaglan Halligan, Univ. of California, Berkeley, US
Yozo Hida, Univ. of California, Berkeley, US

Jason Riedy, Univ. of California, Berkeley, US

SGBEQUB
SGBRFSX
SGBSVXX
SGEEQUB
SGERFSX
SGESVXX
SLA_GBAMV
SLA_GBRCOND
SLA_GBRFSX_EXTENDED
SLA_GBRPVGRW
SLA_GEAMV
SLA_GERCOND
SLA_GERFSX_EXTENDED
SLA_LIN_BERR
SLA_PORCOND
SLA_PORFSX_EXTENDED
SLA_PORPVGRW
SLA_RPVGRW
SLA_SYAMV
SLA_SYRCOND
SLA_SYRFSX_EXTENDED
SLA_SYRPVGRW
SLA_WWADDW
SLARSCL2
SLASCL2
SPOEQUB
SPORFSX
SPOSVXX
SSYEQUB
SSYRFSX
SSYSVXX

Rectangular Full Packed Format

Fred Gustavson of the IBM Watson Research Center

SLANSF
STFSM
STFTRI
STFTTP
STFTTR
STPTTF
SPFTRF
SPFTRI
SPFTRS
STRTTF

Fred Gustavson of the IBM Watson Research Center
Julien Langou of the Univ. of Colorado Denver
```
STRTTP
```
Julien Langou of the Univ. of Colorado Denver
```
SSFRK
STPTTR
```

Symmetric Eigenvalue Problem — SEP

Expert routines

Mark Fahey, Department of Mathematics, Univ. of Kentucky, US
```
SLAGV2
SSYGVD
SSYGVX
SSBGVD
SSBGVX
SSPGVD
SSPGVX
```

Divide & Conquer Agorithm

Jeff Rutter, Computer Science Division, University of California at Berkeley, US
```
SLAED0
SLAED7
SLAED8
SLAED9
SLAEDA
```
Jeff Rutter, Computer Science Division, University of California at Berkeley, US
Françoise Tisseur, University of Tennessee.
```
SLAED1
SLAED2
SLAED3
SSYEVD
SSTEDC
```
Ren-Cang Li, Computer Science Division, University of California
```
SLAED4
SLAED5
SLAED6
```

Multiple Relatively Robust Representations Algorithm — SYEVR

Beresford Parlett, University of California, Berkeley, US
Jim Demmel, University of California, Berkeley, US
Inderjit Dhillon, University of Texas, Austin, US
Osni Marques, LBNL/NERSC, US

Christof Voemel, University of California, Berkeley, US

SLAR1V
SLARRA
SLARRB
SLARRC
SLARRE
SLARRF
SLARRJ
SLARRR
SLARRV

W. Kahan, University of California, Berkeley, US
Beresford Parlett, University of California, Berkeley, US
Jim Demmel, University of California, Berkeley, US
Inderjit Dhillon, University of Texas, Austin, US
Osni Marques, LBNL/NERSC, US
Christof Voemel, University of California, Berkeley, US
```
SLARRD
```
Inderjit Dhillon, IBM Almaden, US
Osni Marques, LBNL/NERSC, US
Christof Voemel, LBNL/NERSC, US
```
SSTEGR
```
Beresford Parlett, University of California, Berkeley, US
Jim Demmel, University of California, Berkeley, US
Inderjit Dhillon, University of Texas, Austin, US
Osni Marques, LBNL/NERSC, US
Christof Voemel, University of California, Berkeley, US
```
SSTEMR
```
Osni Marques, LBNL/NERSC, US
Christof Voemel, University of California, Berkeley, US
Jason Riedy, University of California, Berkeley, US
```
SLANEG
```
Inderjit Dhillon, IBM Almaden, US
Osni Marques, LBNL/NERSC, US
Ken Stanley, Computer Science Division, University of California at Berkeley, US
Jason Riedy, Computer Science Division, University of California at Berkeley, US
```
SSTEVR
SSYEVR
```

DQDS algorithm

Osni Marques of the Lawrence Berkeley National Laboratory
Beresford Parlett of the Univ. of California at Berkeley
```
SLASQ1
SLASQ2
SLASQ3
SLASQ4
SLASQ5
SLASQ6
```

Cholesky for banded matrices

Peter Mayes, IBM ECSEC, Rome, March 23, 1989
Giuseppe Radicati, IBM ECSEC, Rome, March 23, 1989
```
SPBTRF
```

CMAKE Build system

Chuck Atkins, Kitware, US
Bill Hoffman, Kitware, US

LAPACK 95

V. A. Barker (Technical University of Denmark; Denmark),
Susan Blackford (University of Tennessee; US),
Jack Dongarra (University of Tennessee and Oak Ridge National Laboratory; US),
Jeremy Du Croz (Numerical Algorithms Group Ltd. (NAG); UK),
Sven Hammarling (Numerical Algorithms Group Ltd. (NAG); UK),
M. Marinova (Danish Computing Center for Research and Education; Denmark),
Jerzy Waśniewski (Technical University of Denmark, Denmark),
P. Yalamov (University of Rousse; Bulgaria).

Variants for LU, QR and Cholesky

Peng Du (University of Tennsee, US)

C Interface to LAPACK

MKL team