A fast random number generator with good statistical properties. - Fred G. Gustavson; Werner Liniger (Computing, 1970)

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

Arithmetic complexity of unordered sparse polynomials. - Fred G. Gustavson; David Y. Y. Yun (SYMSACC, 1976)

Analysis of the Berlekamp-Massey Linear Feedback Shift-Register Synthesis Algorithm. - Fred G. Gustavson (IBM J. Res. Dev., 1976)

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

Remark on "Algorithm 408: A Sparse Matrix Package (Part I) [F4]". - Fred G. Gustavson (ACM Trans. Math. Softw., 1978)

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

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)

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

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)

Vector and parallel algorithms for Cholesky factorization on IBM 3090. - Ramesh C. Agarwal; Fred G. Gustavson (SC, 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)

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

A Very High-Performance Algorithm for NAS EP Benchmark. - Ramesh C. Agarwal; Fred G. Gustavson; Mohammad Zubair (HPCN, 1994)

A high performance parallel algorithm for 1-D FFT. - Ramesh C. Agarwal; Fred G. Gustavson; Mohammad Zubair (SC, 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)

Exploiting functional parallelism of POWER2 to design high-performance numerical algorithms. - Ramesh C. Agarwal; Fred G. Gustavson; Mohammad Zubair (IBM J. Res. Dev., 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)

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

A Scalable Parallel Block Algorithm for Band Cholesky Factorization. - Ramesh C. Agarwal; Fred G. Gustavson; Mahesh V. Joshi; Mohammad Zubair (PP, 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)

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)

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

Performance Tuning IBM RS/6000 POWER2 Systems. - Ramesh C. Agarwal; Fred G. Gustavson; Mohammad Zubair (PARA, 1996)

Fast Graph Partitioning and Its Application in Sparse Matrix Ordering. - Anshul Gupta; Fred G. Gustavson (PARA, 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 (PARA, 1996)

A New Parallel Algorithm for Tridiagonal Symmetric Positive Definite Systems of Equations. - Fred G. Gustavson; Anshul Gupta (PARA, 1996)

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 001 (PP, 1997)

Recursion leads to automatic variable blocking for dense linear-algebra algorithms. - Fred G. Gustavson (IBM J. Res. Dev., 1997)

New Serial and Parallel Recursive QR Factorization Algorithms for SMP Systems. - Erik Elmroth; Fred G. Gustavson (PARA, 1998)

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

Recursive Formulation of Cholesky Algorithm in Fortran 90. - Jerzy Wasniewski; Bjarne Stig Andersen; Fred G. Gustavson (PARA, 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)

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

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

A Recursive Formulation of the Cholesky Factorization Operating on a Matrix in Packed Storage Form. - Bjarne Stig Andersen; Fred G. Gustavson; Jerzy Wasniewski (PP, 1999)

Recursive Formulation of Some Dense Linear Algebra Algorithms. - Bjarne Stig Andersen; Fred G. Gustavson; Jerzy Wasniewski; Plamen Y. Yalamov (PP, 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 (PP, 1999)

PSPASES: An Efficient and Scalable Parallel Sparse Direct Solver. - Mahesh V. Joshi; George Karypis; Vipin Kumar 001; Anshul Gupta; Fred G. Gustavson (PP, 1999)

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

New Generalized Matrix Data Structures Lead to a Variety of High-Performance Algorithms. - Fred G. Gustavson (The Architecture of Scientific Software, 2000)

Design and evaluation of a linear algebra package for Java. - George Almási 001; Fred G. Gustavson; José E. Moreira (Java Grande, 2000)

Inversion of Symmetric Matrices in a New Block Packes Storage. - Gabriela Georgieva; Fred G. Gustavson; Plamen Y. Yalamov (NAA, 2000)

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

High-Performance Library Software for QR Factorization. - Erik Elmroth; Fred G. Gustavson (PARA, 2000)

High Performance Cholesky Factorization via Blocking and Recursion That Uses Minimal Storage. - Fred G. Gustavson; Isak Jonsson (PARA, 2000)

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

Applying recursion to serial and parallel QR factorization leads to better performance. - Erik Elmroth; Fred G. Gustavson (IBM J. Res. Dev., 2000)

Minimal-storage high-performance Cholesky factorization via blocking and recursion. - Fred G. Gustavson; Isak Jonsson (IBM J. Res. Dev., 2000)

New Generalized Data Structures for Matrices Lead to a Variety of High Performance Algorithms. - Fred G. Gustavson (PPAM, 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)

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

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; et al. (CLUSTER, 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 (PARA, 2002)

An overview of the BlueGene/L Supercomputer. - Narasimha R. Adiga; George Almási 001; 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; et al. (SC, 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)

High-performance linear algebra algorithms using new generalized data structures for matrices. - Fred G. Gustavson (IBM J. Res. Dev., 2003)

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 002; Fred G. Gustavson; Christopher A. Lapkowski; Gary K. Liu; Mark P. Mendell; Charles D. Wait; T. J. Christopher Ward (IEEE PACT, 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 (PARA, 2004)

A New Array Format for Symmetric and Triangular Matrices. - John A. Gunnels; Fred G. Gustavson (PARA, 2004)

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

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

High Performance Linear Algebra Algorithms: An Introduction. - Fred G. Gustavson; Jerzy Wasniewski (PARA, 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)

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 002; Fred G. Gustavson; Christopher A. Lapkowski; Gary K. Liu; Mark P. Mendell; Rohini D. Nair; Charles D. Wait; et al. (IBM J. Res. Dev., 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)

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)

Is Cache-Oblivious DGEMM Viable? - John A. Gunnels; Fred G. Gustavson; Keshav Pingali; Kamen Yotov (PARA, 2006)

Minimal Data Copy for Dense Linear Algebra Factorization. - Fred G. Gustavson; John A. Gunnels; James C. Sexton (PARA, 2006)

Three Algorithms for Cholesky Factorization on Distributed Memory Using Packed Storage. - Fred G. Gustavson; Lars Karlsson; Bo Kågström (PARA, 2006)

In-Place Transposition of Rectangular Matrices. - Fred G. Gustavson; Tadeusz Swirszcz (PARA, 2006)

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

Rectangular Full Packed Format for LAPACK Algorithms Timings on Several Computers. - Fred G. Gustavson; Jerzy Wasniewski (PARA, 2006)

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

An experimental comparison of cache-oblivious and cache-conscious programs. - Kamen Yotov; Thomas Roeder; Keshav Pingali; John A. Gunnels; Fred G. Gustavson (SPAA, 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)

High Performance Computing with the Cell Broadband Engine. - Michael Gschwind; Fred G. Gustavson; Jan F. Prins (Sci. Program., 2009)

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

Cache Blocking. - Fred G. Gustavson (PARA (1), 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 for Linear Algebra Algorithms. - Fred G. Gustavson (PPAM (1), 2011)

New Level-3 BLAS Kernels for Cholesky Factorization. - Fred G. Gustavson; Jerzy Wasniewski; José R. Herrero 001 (PPAM (1), 2011)

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

Algebra and Geometry Combined Explains How the Mind Does Math. - Fred G. Gustavson (PPAM (1), 2013)

A Square Block Format for Symmetric Band Matrices. - Fred G. Gustavson; José R. Herrero 001; Enric Morancho (PPAM (1), 2013)

Level-3 Cholesky Factorization Routines Improve Performance of Many Cholesky Algorithms. - Fred G. Gustavson; Jerzy Wasniewski; Jack J. Dongarra; José R. Herrero 001; Julien Langou (ACM Trans. Math. Softw., 2013)

Algorithms for in-place matrix transposition. - Fred G. Gustavson; David W. Walker (Concurr. Comput. Pract. Exp., 2019)