Fred G. Gustavson

According to our database, Fred G. Gustavson authored at least 91 papers between 1970 and 2019.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of three.

2019

Algorithms for in-place matrix transposition.

Fred G. Gustavson, David W. Walker

Concurr. Comput. Pract. Exp., 2019

2013

Level-3 Cholesky Factorization Routines Improve Performance of Many Cholesky Algorithms.

Fred G. Gustavson, Jerzy Wasniewski, Jack J. Dongarra, José R. Herrero, Julien Langou

ACM Trans. Math. Softw., 2013

A Square Block Format for Symmetric Band Matrices.

Fred G. Gustavson, José R. Herrero, Enric Morancho

Proceedings of the Parallel Processing and Applied Mathematics, 2013

Algebra and Geometry Combined Explains How the Mind Does Math.

Fred G. Gustavson

Proceedings of the Parallel Processing and Applied Mathematics, 2013

2012

Parallel and Cache-Efficient In-Place Matrix Storage Format Conversion.

Fred G. Gustavson, Lars Karlsson, Bo Kågström

ACM Trans. Math. Softw., 2012

2011

New Level-3 BLAS Kernels for Cholesky Factorization.

Fred G. Gustavson, Jerzy Wasniewski, José R. Herrero

Proceedings of the Parallel Processing and Applied Mathematics, 2011

Cache Blocking for Linear Algebra Algorithms.

Fred G. Gustavson

Proceedings of the Parallel Processing and Applied Mathematics, 2011

2010

Rectangular full packed format for cholesky's algorithm: factorization, solution, and inversion.

Fred G. Gustavson, Jerzy Wasniewski, Jack J. Dongarra, Julien Langou

ACM Trans. Math. Softw., 2010

Cache Blocking.

Fred G. Gustavson

Proceedings of the Applied Parallel and Scientific Computing, 2010

2009

Distributed SBP Cholesky factorization algorithms with near-optimal scheduling.

Fred G. Gustavson, Lars Karlsson, Bo Kågström

ACM Trans. Math. Softw., 2009

High Performance Computing with the Cell Broadband Engine.

Michael Gschwind, Fred G. Gustavson, Jan F. Prins

Sci. Program., 2009

2007

Algorithm 865: Fortran 95 subroutines for Cholesky factorization in block hybrid format.

Fred G. Gustavson, John K. Reid, Jerzy Wasniewski

ACM Trans. Math. Softw., 2007

An experimental comparison of cache-oblivious and cache-conscious programs.

Kamen Yotov, Thomas Roeder, Keshav Pingali, John A. Gunnels, Fred G. Gustavson

Proceedings of the SPAA 2007: Proceedings of the 19th Annual ACM Symposium on Parallelism in Algorithms and Architectures, 2007

Three Versions of a Minimal Storage Cholesky Algorithm Using New Data Structures Gives High Performance Speeds as Verified on Many Computers.

Jerzy Wasniewski, Fred G. Gustavson

Proceedings of the Parallel Processing and Applied Mathematics, 2007

The Relevance of New Data Structure Approaches for Dense Linear Algebra in the New Multi-Core / Many Core Environments.

Fred G. Gustavson

Proceedings of the Parallel Processing and Applied Mathematics, 2007

2006

Rectangular Full Packed Format for LAPACK Algorithms Timings on Several Computers.

Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Novel Data Formats and Algorithms for Dense Linear Algebra Computations: Minisymposium Abstract.

Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

In-Place Transposition of Rectangular Matrices.

Fred G. Gustavson, Tadeusz Swirszcz

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Three Algorithms for Cholesky Factorization on Distributed Memory Using Packed Storage.

Fred G. Gustavson, Lars Karlsson, Bo Kågström

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Minimal Data Copy for Dense Linear Algebra Factorization.

Fred G. Gustavson, John A. Gunnels, James C. Sexton

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

Is Cache-Oblivious DGEMM Viable?

John A. Gunnels, Fred G. Gustavson, Keshav Pingali, Kamen Yotov

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

2005

A fully portable high performance minimal storage hybrid format cholesky algorithm.

Bjarne Stig Andersen, John A. Gunnels, Fred G. Gustavson, John K. Reid, Jerzy Wasniewski

ACM Trans. Math. Softw., 2005

Custom math functions for molecular dynamics.

Robert F. Enenkel, Blake G. Fitch, Robert S. Germain, Fred G. Gustavson, A. Martin, Mark P. Mendell, Jed W. Pitera, Michael Pitman, Aleksandr Rayshubskiy, Frank Suits, William C. Swope, T. J. Christopher Ward

IBM J. Res. Dev., 2005

Design and exploitation of a high-performance SIMD floating-point unit for Blue Gene/L.

Siddhartha Chatterjee, Leonardo R. Bachega, Peter Bergner, Kenneth A. Dockser, John A. Gunnels, Manish Gupta, Fred G. Gustavson, Christopher A. Lapkowski, Gary K. Liu, Mark P. Mendell, Rohini D. Nair, Charles D. Wait, T. J. Christopher Ward, Peng Wu

IBM J. Res. Dev., 2005

2004

Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software.

Erik Elmroth, Fred G. Gustavson, Isak Jonsson, Bo Kågström

SIAM Rev., 2004

High Performance Linear Algebra Algorithms: An Introduction.

Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the Applied Parallel Computing, 2004

New Generalized Data Structures for Matrices Lead to a Variety of High Performance Dense Linear Algebra Algorithms.

Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 2004

A Family of High-Performance Matrix Multiplication Algorithms.

John A. Gunnels, Fred G. Gustavson, Greg Henry, Robert A. van de Geijn

Proceedings of the Applied Parallel Computing, 2004

A New Array Format for Symmetric and Triangular Matrices.

John A. Gunnels, Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 2004

Rapid Development of High-Performance Linear Algebra Libraries.

Paolo Bientinesi, John A. Gunnels, Fred G. Gustavson, Greg Henry, Margaret E. Myers, Enrique S. Quintana-Ortí, Robert A. van de Geijn

Proceedings of the Applied Parallel Computing, 2004

A High-Performance SIMD Floating Point Unit for BlueGene/L: Architecture, Compilation, and Algorithm Design.

Leonardo R. Bachega, Siddhartha Chatterjee, Kenneth A. Dockser, John A. Gunnels, Manish Gupta, Fred G. Gustavson, Christopher A. Lapkowski, Gary K. Liu, Mark P. Mendell, Charles D. Wait, T. J. Christopher Ward

Proceedings of the 13th International Conference on Parallel Architectures and Compilation Techniques (PACT 2004), 29 September, 2004

2003

High-performance linear algebra algorithms using new generalized data structures for matrices.

Fred G. Gustavson

IBM J. Res. Dev., 2003

2002

Fast pseudorandom-number generators with modulus 2k or 2k - 1 using fused multiply-ad.

Ramesh C. Agarwal, Robert F. Enenkel, Fred G. Gustavson, Alok Kothari, Mohammad Zubair

IBM J. Res. Dev., 2002

An overview of the BlueGene/L Supercomputer.

Narasimha R. Adiga, George Almási, George S. Almási, Yariv Aridor, Rajkishore Barik, Daniel K. Beece, Ralph Bellofatto, Gyan Bhanot, Randy Bickford, Matthias A. Blumrich, Arthur A. Bright, José R. Brunheroto, Calin Cascaval, José G. Castaños, Waiman Chan, Luis Ceze, Paul Coteus, Siddhartha Chatterjee, Dong Chen, George L.-T. Chiu, Thomas M. Cipolla, Paul Crumley, K. M. Desai, Alina Deutsch, Tamar Domany, Marc Boris Dombrowa, Wilm E. Donath, Maria Eleftheriou, C. Christopher Erway, J. Esch, Blake G. Fitch, Joseph Gagliano, Alan Gara, Rahul Garg, Robert S. Germain, Mark Giampapa, Balaji Gopalsamy, John A. Gunnels, Manish Gupta, Fred G. Gustavson, Shawn Hall, Ruud A. Haring, David F. Heidel, Philip Heidelberger, Lorraine Herger, Dirk Hoenicke, R. D. Jackson, T. Jamal-Eddine, Gerard V. Kopcsay, Elie Krevat, Manish P. Kurhekar, Alphonso P. Lanzetta, Derek Lieber, L. K. Liu, M. Lu, Mark P. Mendell, A. Misra, Yosef Moatti, Lawrence S. Mok, José E. Moreira, Ben J. Nathanson, Matthew Newton, Martin Ohmacht, Adam J. Oliner, Vinayaka Pandit, R. B. Pudota, Rick A. Rand, Richard D. Regan, Bradley Rubin, Albert E. Ruehli, Silvius Vasile Rus, Ramendra K. Sahoo, Alda Sanomiya, Eugen Schenfeld, M. Sharma, Edi Shmueli, Sarabjeet Singh, Peilin Song, Vijay Srinivasan, Burkhard D. Steinmacher-Burow, Karin Strauss, Christopher W. Surovic, Richard A. Swetz, Todd Takken, R. Brett Tremaine, Mickey Tsao, Arun R. Umamaheshwaran, P. Verma, Pavlos Vranas, T. J. Christopher Ward, Michael E. Wazlowski, W. Barrett, C. Engel, B. Drehmel, B. Hilgart, D. Hill, F. Kasemkhani, David J. Krolak, Chun-Tao Li, Thomas A. Liebsch, James A. Marcella, A. Muff, A. Okomo, M. Rouse, A. Schram, M. Tubbs, G. Ulsh, Charles D. Wait, J. Wittrup, Myung Bae, Kenneth A. Dockser, Lynn Kissel, Mark K. Seager, Jeffrey S. Vetter, K. Yates

Proceedings of the 2002 ACM/IEEE conference on Supercomputing, 2002

A Recursive Formulation of the Inversion of Symmetric Positive Definite Matrices in Packed Storage Data Format.

Bjarne Stig Andersen, John A. Gunnels, Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the Applied Parallel Computing Advanced Scientific Computing, 2002

Blue Gene/L, a System-On-A-Chip.

George S. Almási, Daniel K. Beece, Ralph Bellofatto, Gyan Bhanot, Randy Bickford, Matthias A. Blumrich, Arthur A. Bright, José R. Brunheroto, Calin Cascaval, José G. Castaños, Luis Ceze, Paul Coteus, Siddhartha Chatterjee, Dong Chen, George L.-T. Chiu, Thomas M. Cipolla, Paul Crumley, Alina Deutsch, Marc Boris Dombrowa, Wilm E. Donath, Maria Eleftheriou, Blake G. Fitch, Joseph Gagliano, Alan Gara, Robert S. Germain, Mark Giampapa, Manish Gupta, Fred G. Gustavson, Shawn Hall, Ruud A. Haring, David F. Heidel, Philip Heidelberger, Lorraine Herger, Dirk Hoenicke, T. Jamal-Eddine, Gerard V. Kopcsay, Alphonso P. Lanzetta, Derek Lieber, M. Lu, Mark P. Mendell, Lawrence S. Mok, José E. Moreira, Ben J. Nathanson, Matthew Newton, Martin Ohmacht, Rick A. Rand, Richard D. Regan, Ramendra K. Sahoo, Alda Sanomiya, Eugen Schenfeld, Sarabjeet Singh, Peilin Song, Burkhard D. Steinmacher-Burow, Karin Strauss, Richard A. Swetz, Todd Takken, R. Brett Tremaine, Mickey Tsao, Pavlos Vranas, T. J. Christopher Ward, Michael E. Wazlowski, J. Brown, Thomas A. Liebsch, A. Schram, G. Ulsh

Proceedings of the 2002 IEEE International Conference on Cluster Computing (CLUSTER 2002), 2002

2001

FLAME: Formal Linear Algebra Methods Environment.

John A. Gunnels, Fred G. Gustavson, Greg Henry, Robert A. van de Geijn

ACM Trans. Math. Softw., 2001

A recursive formulation of Cholesky factorization of a matrix in packed storage.

Bjarne Stig Andersen, Jerzy Wasniewski, Fred G. Gustavson

ACM Trans. Math. Softw., 2001

New Generalized Data Structures for Matrices Lead to a Variety of High Performance Algorithms.

Fred G. Gustavson

Proceedings of the Parallel Processing and Applied Mathematics, 2001

2000

Minimal-storage high-performance Cholesky factorization via blocking and recursion.

Fred G. Gustavson, Isak Jonsson

IBM J. Res. Dev., 2000

Applying recursion to serial and parallel QR factorization leads to better performance.

Erik Elmroth, Fred G. Gustavson

IBM J. Res. Dev., 2000

A Fast Minimal Storage Symmetric Indefinite Solver.

Fred G. Gustavson, Alexander Karaivanov, Minka Marinova, Jerzy Wasniewski, Plamen Y. Yalamov

Proceedings of the Applied Parallel Computing, 2000

High Performance Cholesky Factorization via Blocking and Recursion That Uses Minimal Storage.

Fred G. Gustavson, Isak Jonsson

Proceedings of the Applied Parallel Computing, 2000

High-Performance Library Software for QR Factorization.

Erik Elmroth, Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 2000

LAWRA: Linear Algebra with Recursive Algorithms.

Bjarne Stig Andersen, Fred G. Gustavson, Alexander Karaivanov, Minka Marinova, Jerzy Wasniewski, Plamen Y. Yalamov

Proceedings of the Applied Parallel Computing, 2000

Inversion of Symmetric Matrices in a New Block Packes Storage.

Gabriela Georgieva, Fred G. Gustavson, Plamen Y. Yalamov

Proceedings of the Numerical Analysis and Its Applications, 2000

Design and evaluation of a linear algebra package for Java.

George Almási, Fred G. Gustavson, José E. Moreira

Proceedings of the ACM 2000 Java Grande Conference, San Francisco, CA, USA, 2000

New Generalized Matrix Data Structures Lead to a Variety of High-Performance Algorithms.

Fred G. Gustavson

Proceedings of the Architecture of Scientific Software, 2000

LAWRA Workshop: Linear Algebra with Recursive Algorithms: http://lawra.uni-c.dk/lawra/.

Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the High-Performance Computing and Networking, 8th International Conference, 2000

1999

PSPASES: An Efficient and Scalable Parallel Sparse Direct Solver.

Mahesh V. Joshi, George Karypis, Vipin Kumar, Anshul Gupta, Fred G. Gustavson

Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

Towards Peak Performance on Hierarchical SMP Memory Architectures - New Recursive Blocked Data Formats and BLAS.

Fred G. Gustavson, Isak Jonsson, Bo Kågström, Per Ling

Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

Recursive Formulation of Some Dense Linear Algebra Algorithms.

Bjarne Stig Andersen, Fred G. Gustavson, Jerzy Wasniewski, Plamen Y. Yalamov

Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

A Recursive Formulation of the Cholesky Factorization Operating on a Matrix in Packed Storage Form.

Bjarne Stig Andersen, Fred G. Gustavson, Jerzy Wasniewski

Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

A Columnwise Recursive Perturbation Based Algorithm for Symmetric Indefinite Linear Systems.

Fred G. Gustavson, Jerzy Wasniewski, Alexander Karaivanov, Plamen Y. Yalamov

Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 1999

Experience with a Recursive Perturbation Based Algorithm for Symmetric Indefinite Linear Systems.

Anshul Gupta, Fred G. Gustavson, Alexander Karaivanov, Jerzy Wasniewski, Plamen Y. Yalamov

Proceedings of the Euro-Par '99 Parallel Processing, 5th International Euro-Par Conference, Toulouse, France, August 31, 1999

The fused multiply-add instruction leads to algorithms for extended-precision floating point: applications to java and high-performance computing.

Fred G. Gustavson, José E. Moreira, Robert F. Enenkel

Proceedings of the 1999 conference of the Centre for Advanced Studies on Collaborative Research, 1999

Series Approximation Methods for Divide and Square Root in the Power3(TM) Processor.

Martin S. Schmookler, Ramesh C. Agarwal, Fred G. Gustavson

Proceedings of the 14th IEEE Symposium on Computer Arithmetic (Arith-14 '99), 1999

1998

The Design, Implementation, and Evaluation of a Symmetric Banded Linear Solver for Distributed-Memory Parallel Computers.

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, Sivan Toledo

ACM Trans. Math. Softw., 1998

Recursive Formulation of Cholesky Algorithm in Fortran 90.

Jerzy Wasniewski, Bjarne Stig Andersen, Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 1998

Superscalar GEMM-based Level 3 BLAS - The On-going Evolution of a Portable and High-Performance Library.

Fred G. Gustavson, André Henriksson, Isak Jonsson, Bo Kågström, Per Ling

Proceedings of the Applied Parallel Computing, 1998

Recursive Blocked Data Formats and BLAS's for Dense Linear Algebra Algorithms.

Fred G. Gustavson, André Henriksson, Isak Jonsson, Bo Kågström, Per Ling

Proceedings of the Applied Parallel Computing, 1998

New Serial and Parallel Recursive <i>QR</i> Factorization Algorithms for SMP Systems.

Erik Elmroth, Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 1998

1997

Recursion leads to automatic variable blocking for dense linear-algebra algorithms.

Fred G. Gustavson

IBM J. Res. Dev., 1997

Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results.

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, George Karypis, Vipin Kumar

Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997

1996

A New Parallel Algorithm for Tridiagonal Symmetric Positive Definite Systems of Equations.

Fred G. Gustavson, Anshul Gupta

Proceedings of the Applied Parallel Computing, 1996

The Design, Implementation, and Evaluation of a Banded Linear Solver for Distributed-Memory Parallel Computers.

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, Sivan Toledo

Proceedings of the Applied Parallel Computing, 1996

Fast Graph Partitioning and Its Application in Sparse Matrix Ordering.

Anshul Gupta, Fred G. Gustavson

Proceedings of the Applied Parallel Computing, 1996

Performance Tuning IBM RS/6000 POWER2 Systems.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

Proceedings of the Applied Parallel Computing, 1996

The Design and Implementation of SOLAR, a Portable Library for Scalable Out-of-core Linear Algebra Computations.

Sivan Toledo, Fred G. Gustavson

Proceedings of the Fourth Workshop on I/O in Parallel and Distributed Systems, 1996

1995

High-Performance Parallel Implementations of the NAS Kernel Benchmarks on the IBM SP2.

Ramesh C. Agarwal, Bowen Alpern, Larry Carter, Fred G. Gustavson, David J. Klepacki, Rick Lawrence, Mohammad Zubair

IBM Syst. J., 1995

A three-dimensional approach to parallel matrix multiplication.

Ramesh C. Agarwal, Susanne M. Balle, Fred G. Gustavson, Mahesh V. Joshi, Prasad V. Palkar

IBM J. Res. Dev., 1995

A Scalable Parallel Block Algorithm for Band Cholesky Factorization.

Ramesh C. Agarwal, Fred G. Gustavson, Mahesh V. Joshi, Mohammad Zubair

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

A High Performance Matrix Manipulation Algorithm for MPPs.

Ramesh C. Agarwal, Fred G. Gustavson, Susanne M. Balle, Mahesh V. Joshi, Prasad V. Palkar

Proceedings of the Applied Parallel Computing, 1995

1994

A high-performance matrix-multiplication algorithm on a distributed-memory parallel computer, using overlapped communication.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

IBM J. Res. Dev., 1994

Exploiting functional parallelism of POWER2 to design high-performance numerical algorithms.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

IBM J. Res. Dev., 1994

Improving performance of linear algebra algorithms for dense matrices, using algorithmic prefetch.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

IBM J. Res. Dev., 1994

A high performance parallel algorithm for 1-D FFT.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

Proceedings of the Proceedings Supercomputing '94, 1994

A Very High-Performance Algorithm for NAS EP Benchmark.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

Proceedings of the High-Performance Computing and Networking, 1994

1992

A High Performance Algorithm Using Pre-Processing for the Sparse Matrix-Vector Multiplication.

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair

Proceedings of the Proceedings Supercomputing '92, 1992

1989

Engineering and Scientific Subroutine Library Release 3 for IBM ES/3090 Vector Multiprocessors.

Ramesh C. Agarwal, Fred G. Gustavson, Joan McComb, Stanley Schmidt

IBM Syst. J., 1989

Vector and parallel algorithms for Cholesky factorization on IBM 3090.

Ramesh C. Agarwal, Fred G. Gustavson

Proceedings of the Proceedings Supercomputing '89, Reno, NV, USA, November 12-17, 1989, 1989

1986

New Scalar and Vector Elementary Functions for the IBM System/370.

Ramesh C. Agarwal, James W. Cooley, Fred G. Gustavson, James B. Shearer, Gordon Slishman, Bryant Tuckerman

IBM J. Res. Dev., 1986

1985

Fast Elementary Function Algorithms for 370 Machines (Abstract).

Fred G. Gustavson

Proceedings of the Accurate Scientific Computations, 1985

1980

Fast Solution of Toeplitz Systems of Equations and Computation of Padé Approximants.

Richard P. Brent, Fred G. Gustavson, David Y. Y. Yun

J. Algorithms, 1980

1979

Fast computation of rational Hermite interpolants and solving Toeplitz system of equations via the extended Euclidean algorithm.

David Y. Y. Yun, Fred G. Gustavson

Proceedings of the Symbolic and Algebraic Computation, 1979

1978

Remark on "Algorithm 408: A Sparse Matrix Package (Part I) [F4]".

Fred G. Gustavson

ACM Trans. Math. Softw., 1978

Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition.

Fred G. Gustavson

ACM Trans. Math. Softw., 1978

1976

Analysis of the Berlekamp-Massey Linear Feedback Shift-Register Synthesis Algorithm.

Fred G. Gustavson

IBM J. Res. Dev., 1976

Arithmetic complexity of unordered sparse polynomials.

Fred G. Gustavson, David Y. Y. Yun

Proceedings of the third ACM Symposium on Symbolic and Algebraic Manipulation, 1976

1970

Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations.

Fred G. Gustavson, Werner Liniger, R. Willoughby

J. ACM, 1970

A fast random number generator with good statistical properties.

Fred G. Gustavson, Werner Liniger

Computing, 1970