Fred G. Gustavson

Fred G. Gustavson, Jerzy Wasniewski, Jack J. Dongarra, José R. Herrero, Julien Langou: Level-3 Cholesky Factorization Routines Improve Performance of Many Cholesky Algorithms. ACM Trans. Math. Softw. 39(2): 9 (2013)

Fred G. Gustavson, Lars Karlsson, Bo Kågström: Parallel and Cache-Efficient In-Place Matrix Storage Format Conversion. ACM Trans. Math. Softw. 38(3): 17 (2012)

Fred G. Gustavson, Jerzy Wasniewski, José R. Herrero: New Level-3 BLAS Kernels for Cholesky Factorization. PPAM (1) 2011: 60-69

Fred G. Gustavson: Cache Blocking for Linear Algebra Algorithms. PPAM (1) 2011: 122-132

Fred G. Gustavson, Jerzy Wasniewski, Jack Dongarra, Julien Langou: Rectangular full packed format for cholesky's algorithm: factorization, solution, and inversion. ACM Trans. Math. Softw. 37(2) (2010)

Fred G. Gustavson: Cache Blocking. PARA (1) 2010: 22-32

Fred G. Gustavson, Lars Karlsson, Bo Kågström: Distributed SBP Cholesky factorization algorithms with near-optimal scheduling. ACM Trans. Math. Softw. 36(2) (2009)

Fred G. Gustavson, Jerzy Wasniewski, Jack Dongarra, Julien Langou: Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion. CoRR abs/0901.1696 (2009)

Fred G. Gustavson, John K. Reid, Jerzy Wasniewski: Algorithm 865: Fortran 95 subroutines for Cholesky factorization in block hybrid format. ACM Trans. Math. Softw. 33(1): 8 (2007)

Fred G. Gustavson: The Relevance of New Data Structure Approaches for Dense Linear Algebra in the New Multi-Core / Many Core Environments. PPAM 2007: 618-621

Jerzy Wasniewski, Fred G. Gustavson: Three Versions of a Minimal Storage Cholesky Algorithm Using New Data Structures Gives High Performance Speeds as Verified on Many Computers. PPAM 2007: 622-627

Kamen Yotov, Thomas Roeder, Keshav Pingali, John A. Gunnels, Fred G. Gustavson: An experimental comparison of cache-oblivious and cache-conscious programs. SPAA 2007: 93-104

Fred G. Gustavson, Jerzy Wasniewski: Novel Data Formats and Algorithms for Dense Linear Algebra Computations: Minisymposium Abstract. PARA 2006: 520

Fred G. Gustavson, John A. Gunnels, James C. Sexton: Minimal Data Copy for Dense Linear Algebra Factorization. PARA 2006: 540-549

Fred G. Gustavson, Lars Karlsson, Bo Kågström: Three Algorithms for Cholesky Factorization on Distributed Memory Using Packed Storage. PARA 2006: 550-559

Fred G. Gustavson, Tadeusz Swirszcz: In-Place Transposition of Rectangular Matrices. PARA 2006: 560-569

Fred G. Gustavson, Jerzy Wasniewski: Rectangular Full Packed Format for LAPACK Algorithms Timings on Several Computers. PARA 2006: 570-579

John A. Gunnels, Fred G. Gustavson, Keshav Pingali, Kamen Yotov: Is Cache-Oblivious DGEMM Viable? PARA 2006: 919-928

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: Design and exploitation of a high-performance SIMD floating-point unit for Blue Gene/L. IBM Journal of Research and Development 49(2-3): 377-392 (2005)

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: Custom math functions for molecular dynamics. IBM Journal of Research and Development 49(2-3): 465-474 (2005)

Bjarne Stig Andersen, John A. Gunnels, Fred G. Gustavson, John K. Reid, Jerzy Wasniewski: A fully portable high performance minimal storage hybrid format cholesky algorithm. ACM Trans. Math. Softw. 31(2): 201-227 (2005)

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: A High-Performance SIMD Floating Point Unit for BlueGene/L: Architecture, Compilation, and Algorithm Design. IEEE PACT 2004: 85-96

Fred G. Gustavson: New Generalized Data Structures for Matrices Lead to a Variety of High Performance Dense Linear Algebra Algorithms. PARA 2004: 11-20

Fred G. Gustavson, Jerzy Wasniewski: High Performance Linear Algebra Algorithms: An Introduction. PARA 2004: 225-227

John A. Gunnels, Fred G. Gustavson: A New Array Format for Symmetric and Triangular Matrices. PARA 2004: 247-255

John A. Gunnels, Fred G. Gustavson, Greg Henry, Robert A. van de Geijn: A Family of High-Performance Matrix Multiplication Algorithms. PARA 2004: 256-265

Paolo Bientinesi, John A. Gunnels, Fred G. Gustavson, Greg Henry, Margaret E. Myers, Enrique S. Quintana-Ortí, Robert A. van de Geijn: Rapid Development of High-Performance Linear Algebra Libraries. PARA 2004: 376-384

Fred G. Gustavson: High-performance linear algebra algorithms using new generalized data structures for matrices. IBM Journal of Research and Development 47(1): 31-56 (2003)

Ramesh C. Agarwal, Robert F. Enenkel, Fred G. Gustavson, Alok Kothari, Mohammad Zubair: Fast pseudorandom-number generators with modulus 2k or 2k - 1 using fused multiply-ad. IBM Journal of Research and Development 46(1): 97- (2002)

George 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: Blue Gene/L, a System-On-A-Chip. CLUSTER 2002: 349-

Bjarne Stig Andersen, John A. Gunnels, Fred G. Gustavson, Jerzy Wasniewski: A Recursive Formulation of the Inversion of Symmetric Positive Definite Matrices in Packed Storage Data Format. PARA 2002: 287-296

Narasimha R. Adiga, George 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, Y. 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 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, C. T. Li, Thomas A. Liebsch, James A. Marcella, A. Muff, A. Okomo, M. Rouse, A. Schram, M. Tubbs, G. Ulsh, Charles D. Wait, J. Wittrup, M. Bae, Kenneth A. Dockser, Lynn Kissel, Mark K. Seager, Jeffrey S. Vetter, K. Yates: An overview of the BlueGene/L Supercomputer. SC 2002: 1-22

Bjarne Stig Andersen, Jerzy Wasniewski, Fred G. Gustavson: A recursive formulation of Cholesky factorization of a matrix in packed storage. ACM Trans. Math. Softw. 27(2): 214-244 (2001)

John A. Gunnels, Fred G. Gustavson, Greg Henry, Robert A. van de Geijn: FLAME: Formal Linear Algebra Methods Environment. ACM Trans. Math. Softw. 27(4): 422-455 (2001)

Fred G. Gustavson: New Generalized Data Structures for Matrices Lead to a Variety of High Performance Algorithms. PPAM 2001: 418-436

Erik Elmroth, Fred G. Gustavson: Applying recursion to serial and parallel QR factorization leads to better performance. IBM Journal of Research and Development 44(4): 605-624 (2000)

Fred G. Gustavson, Isak Jonsson: Minimal-storage high-performance Cholesky factorization via blocking and recursion. IBM Journal of Research and Development 44(6): 823-850 (2000)

Fred G. Gustavson, Jerzy Wasniewski: LAWRA Workshop: Linear Algebra with Recursive Algorithms: http: //lawra.uni-c.dk/lawra/. HPCN Europe 2000: 629-632

Fred G. Gustavson: New Generalized Matrix Data Structures Lead to a Variety of High-Performance Algorithms. The Architecture of Scientific Software 2000: 211-234

George Almási, Fred G. Gustavson, José E. Moreira: Design and evaluation of a linear algebra package for Java. Java Grande 2000: 150-159

Gabriela Georgieva, Fred G. Gustavson, Plamen Y. Yalamov: Inversion of Symmetric Matrices in a New Block Packes Storage. NAA 2000: 333-340

Bjarne Stig Andersen, Fred G. Gustavson, Alexander Karaivanov, Minka Marinova, Jerzy Wasniewski, Plamen Y. Yalamov: LAWRA: Linear Algebra with Recursive Algorithms. PARA 2000: 38-51

Erik Elmroth, Fred G. Gustavson: High-Performance Library Software for QR Factorization. PARA 2000: 53-63

Fred G. Gustavson, Isak Jonsson: High Performance Cholesky Factorization via Blocking and Recursion That Uses Minimal Storage. PARA 2000: 82-91

Fred G. Gustavson, Alexander Karaivanov, Minka Marinova, Jerzy Wasniewski, Plamen Y. Yalamov: A Fast Minimal Storage Symmetric Indefinite Solver. PARA 2000: 103-112

Martin S. Schmookler, Ramesh C. Agarwal, Fred G. Gustavson: Series Approximation Methods for Divide and Square Root in the Power3(TM) Processor. IEEE Symposium on Computer Arithmetic 1999: 116-123

Fred G. Gustavson, José E. Moreira, Robert F. Enenkel: The fused multiply-add instruction leads to algorithms for extended-precision floating point: applications to java and high-performance computing. CASCON 1999: 4

Anshul Gupta, Fred G. Gustavson, Alexander Karaivanov, Jerzy Wasniewski, Plamen Y. Yalamov: Experience with a Recursive Perturbation Based Algorithm for Symmetric Indefinite Linear Systems. Euro-Par 1999: 1096-1103

Fred G. Gustavson, Jerzy Wasniewski, Alexander Karaivanov, Plamen Y. Yalamov: A Columnwise Recursive Perturbation Based Algorithm for Symmetric Indefinite Linear Systems. PDPTA 1999: 1311-1316

Bjarne Stig Andersen, Fred G. Gustavson, Jerzy Wasniewski: A Recursive Formulation of the Cholesky Factorization Operating on a Matrix in Packed Storage Form. PPSC 1999

Bjarne Stig Andersen, Fred G. Gustavson, Jerzy Wasniewski, Plamen Y. Yalamov: Recursive Formulation of Some Dense Linear Algebra Algorithms. PPSC 1999

Fred G. Gustavson, Isak Jonsson, Bo Kågström, Per Ling: Towards Peak Performance on Hierarchical SMP Memory Architectures - New Recursive Blocked Data Formats and BLAS. PPSC 1999

Mahesh V. Joshi, George Karypis, Vipin Kumar, Anshul Gupta, Fred G. Gustavson: PSPASES: An Efficient and Scalable Parallel Sparse Direct Solver. PPSC 1999

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, Sivan Toledo: The Design, Implementation, and Evaluation of a Symmetric Banded Linear Solver for Distributed-Memory Parallel Computers. ACM Trans. Math. Softw. 24(1): 74-101 (1998)

Erik Elmroth, Fred G. Gustavson: New Serial and Parallel Recursive QR Factorization Algorithms for SMP Systems. PARA 1998: 120-128

Fred G. Gustavson, André Henriksson, Isak Jonsson, Bo Kågström, Per Ling: Recursive Blocked Data Formats and BLAS's for Dense Linear Algebra Algorithms. PARA 1998: 195-206

Fred G. Gustavson, André Henriksson, Isak Jonsson, Bo Kågström, Per Ling: Superscalar GEMM-based Level 3 BLAS - The On-going Evolution of a Portable and High-Performance Library. PARA 1998: 207-215

Jerzy Wasniewski, Bjarne Stig Andersen, Fred G. Gustavson: Recursive Formulation of Cholesky Algorithm in Fortran 90. PARA 1998: 574-578

Fred G. Gustavson: Recursion leads to automatic variable blocking for dense linear-algebra algorithms. IBM Journal of Research and Development 41(6): 737-756 (1997)

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, George Karypis, Vipin Kumar: Design and Implementation of a Scalable Parallel Direct Solver for Sparse Symmetric Positive Definite Systems: Preliminary Results. PPSC 1997

Sivan Toledo, Fred G. Gustavson: The Design and Implementation of SOLAR, a Portable Library for Scalable Out-of-core Linear Algebra Computations. IOPADS 1996: 28-40

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: Performance Tuning IBM RS/6000 POWER2 Systems. PARA 1996: 1-13

Anshul Gupta, Fred G. Gustavson: Fast Graph Partitioning and Its Application in Sparse Matrix Ordering. PARA 1996: 316-327

Anshul Gupta, Fred G. Gustavson, Mahesh V. Joshi, Sivan Toledo: The Design, Implementation, and Evaluation of a Banded Linear Solver for Distributed-Memory Parallel Computers. PARA 1996: 328-340

Fred G. Gustavson, Anshul Gupta: A New Parallel Algorithm for Tridiagonal Symmetric Positive Definite Systems of Equations. PARA 1996: 341-349

Ramesh C. Agarwal, Susanne M. Balle, Fred G. Gustavson, Mahesh V. Joshi, Prasad V. Palkar: A three-dimensional approach to parallel matrix multiplication. IBM Journal of Research and Development 39(5): 575-582 (1995)

Ramesh C. Agarwal, Bowen Alpern, Larry Carter, Fred G. Gustavson, David J. Klepacki, Rick Lawrence, Mohammad Zubair: High-Performance Parallel Implementations of the NAS Kernel Benchmarks on the IBM SP2. IBM Systems Journal 34(2): 263-272 (1995)

Ramesh C. Agarwal, Fred G. Gustavson, Susanne M. Balle, Mahesh V. Joshi, Prasad V. Palkar: A High Performance Matrix Manipulation Algorithm for MPPs. PARA 1995: 1-8

Ramesh C. Agarwal, Fred G. Gustavson, Mahesh V. Joshi, Mohammad Zubair: A Scalable Parallel Block Algorithm for Band Cholesky Factorization. PPSC 1995: 430-435

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: Improving performance of linear algebra algorithms for dense matrices, using algorithmic prefetch. IBM Journal of Research and Development 38(3): 265-276 (1994)

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: Exploiting functional parallelism of POWER2 to design high-performance numerical algorithms. IBM Journal of Research and Development 38(5): 563-576 (1994)

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: A high-performance matrix-multiplication algorithm on a distributed-memory parallel computer, using overlapped communication. IBM Journal of Research and Development 38(6): 673-682 (1994)

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: A Very High-Performance Algorithm for NAS EP Benchmark. HPCN 1994: 164-169

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: A high performance parallel algorithm for 1-D FFT. SC 1994: 34-40

Ramesh C. Agarwal, Fred G. Gustavson, Mohammad Zubair: A High Performance Algorithm Using Pre-Processing for the Sparse Matrix-Vector Multiplication. SC 1992: 32-41

Ramesh C. Agarwal, Fred G. Gustavson, Joan McComb, Stanley Schmidt: Engineering and Scientific Subroutine Library Release 3 for IBM ES/3090 Vector Multiprocessors. IBM Systems Journal 28(2): 345-350 (1989)

Ramesh C. Agarwal, Fred G. Gustavson: Vector and parallel algorithms for Cholesky factorization on IBM 3090. SC 1989: 225-233

Ramesh C. Agarwal, James W. Cooley, Fred G. Gustavson, James B. Shearer, Gordon Slishman, Bryant Tuckerman: New Scalar and Vector Elementary Functions for the IBM System/370. IBM Journal of Research and Development 30(2): 126-144 (1986)

Fred G. Gustavson: Fast Elementary Function Algorithms for 370 Machines (Abstract). Accurate Scientific Computations 1985: 17

Richard P. Brent, Fred G. Gustavson, David Y. Y. Yun: Fast Solution of Toeplitz Systems of Equations and Computation of Padé Approximants. J. Algorithms 1(3): 259-295 (1980)

David Y. Y. Yun, Fred G. Gustavson: Fast computation of rational Hermite interpolants and solving Toeplitz system of equations via the extended Euclidean algorithm. EUROSAM 1979: 58-64

Fred G. Gustavson: Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition. ACM Trans. Math. Softw. 4(3): 250-269 (1978)

Fred G. Gustavson: Remark on ``Algorithm 408: A Sparse Matrix Package (Part I) [F4]''. ACM Trans. Math. Softw. 4(3): 295 (1978)

Fred G. Gustavson: Analysis of the Berlekamp-Massey Linear Feedback Shift-Register Synthesis Algorithm. IBM Journal of Research and Development 20(3): 204-212 (1976)

Fred G. Gustavson, David Y. Y. Yun: Arithmetic complexity of unordered sparse polynomials. SYMSACC 1976: 149-153

Fred G. Gustavson, Werner Liniger, R. Willoughby: Symbolic Generation of an Optimal Crout Algorithm for Sparse Systems of Linear Equations. J. ACM 17(1): 87-109 (1970)