Implementing Efficient and Portable Dense Matrix Factorizations. - Richard B. Lehoucq (PP, 1991)

A Compiler-Blockable Algorithm for QR Decomposition. - Steve Carr 001; Richard B. Lehoucq (PP, 1995)

Deflation Techniques for an Implicitly Restarted Arnoldi Iteration. - Richard B. Lehoucq; Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 1996)

The Computation of Elementary Unitary Matrices. - Richard B. Lehoucq (ACM Trans. Math. Softw., 1996)

Compiler Blockability of Dense Matrix Factorizations. - Steve Carr 001; Richard B. Lehoucq (ACM Trans. Math. Softw., 1997)

ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. - Richard B. Lehoucq; Danny C. Sorensen; Chao Yang (SIAM, 1998)

Massively Parallel Linear Stability Analysis with P_ARPACK for 3D Fluid Flow Modeled with MPSalsa. - Richard B. Lehoucq; Andrew G. Salinger (PARA, 1998)

Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method. - Richard B. Lehoucq; Karl Meerbergen (SIAM J. Matrix Anal. Appl., 1998)

Non-Hermitian Eigenvalue Problems. - T. Chen; James Demmel; Ming Gu 002; Yousef Saad; Richard B. Lehoucq; Danny C. Sorensen; Kristyn J. Maschhoff; Zhaojun Bai; David Day; Roland W. Freund; Gerard L. G. Sleijpen; Henk A. van der Vorst; et al. (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Hermitian Eigenvalue Problems. - Ming Gu 002; Axel Ruhe; Richard B. Lehoucq; Danny C. Sorensen; Roland W. Freund; Gerard L. G. Sleijpen; Henk A. van der Vorst; Zhaojun Bai; Ruipeng Li (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

An Introduction to Iterative Projection Methods. - Yousef Saad; Richard B. Lehoucq; Danny C. Sorensen (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Implicitly Restarted Arnoldi Methods and Subspace Iteration. - Richard B. Lehoucq (SIAM J. Matrix Anal. Appl., 2001)

An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics. - Jeffrey K. Bennighof; Richard B. Lehoucq (SIAM J. Sci. Comput., 2004)

On the Finite Element Solution of the Pure Neumann Problem. - Pavel B. Bochev; Richard B. Lehoucq (SIAM Rev., 2005)

An overview of the Trilinos project. - Michael A. Heroux; Roscoe A. Bartlett; Vicki E. Howle; Robert J. Hoekstra; Jonathan J. Hu; Tamara G. Kolda; Richard B. Lehoucq; Kevin R. Long; Roger P. Pawlowski; Eric T. Phipps; Andrew G. Salinger; Heidi Thornquist; et al. (ACM Trans. Math. Softw., 2005)

Basis selection in LOBPCG. - Ulrich Hetmaniuk; Richard B. Lehoucq (J. Comput. Phys., 2006)

Uniform accuracy of eigenpairs from a shift-invert Lanczos method. - Ulrich Hetmaniuk; Richard B. Lehoucq (SIAM J. Matrix Anal. Appl., 2006)

A Primal-Based Penalty Preconditioner for Elliptic Saddle Point Systems. - Clark R. Dohrmann; Richard B. Lehoucq (SIAM J. Numer. Anal., 2006)

Bridging Methods for Coupling Atomistic and Continuum Models. - Santiago Badia; Pavel B. Bochev; Max D. Gunzburger; Richard B. Lehoucq; Michael L. Parks (LSSC, 2007)

Implementing peridynamics within a molecular dynamics code. - Michael L. Parks; Richard B. Lehoucq; Steven J. Plimpton; Stewart A. Silling (Comput. Phys. Commun., 2008)

On Atomistic-to-Continuum Coupling by Blending. - Santiago Badia; Michael L. Parks; Pavel B. Bochev; Max D. Gunzburger; Richard B. Lehoucq (Multiscale Model. Simul., 2008)

Connecting Atomistic-to-Continuum Coupling and Domain Decomposition. - Michael L. Parks; Pavel B. Bochev; Richard B. Lehoucq (Multiscale Model. Simul., 2008)

Peridynamics as an Upscaling of Molecular Dynamics. - Pablo Seleson; Michael L. Parks; Max D. Gunzburger; Richard B. Lehoucq (Multiscale Model. Simul., 2009)

Dynamical Systems and Non-Hermitian Iterative Eigensolvers. - Mark Embree; Richard B. Lehoucq (SIAM J. Numer. Anal., 2009)

Anasazi software for the numerical solution of large-scale eigenvalue problems. - Chris G. Baker; Ulrich Hetmaniuk; Richard B. Lehoucq; Heidi Thornquist (ACM Trans. Math. Softw., 2009)

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems. - Max D. Gunzburger; Richard B. Lehoucq (Multiscale Model. Simul., 2010)

Energy Principles and Finite Element Methods for Pure Traction Linear Elasticity. - Pavel B. Bochev; Richard B. Lehoucq (Comput. Methods Appl. Math., 2011)

A New Approach for a Nonlocal, Nonlinear Conservation Law. - Qiang Du 001; James R. Kamm; Richard B. Lehoucq; Michael L. Parks (SIAM J. Appl. Math., 2012)

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. - Qiang Du 001; Max D. Gunzburger; Richard B. Lehoucq; Kun Zhou (SIAM Rev., 2012)

Computing the exit-time for a finite-range symmetric jump process. - Nathanial Burch; Richard B. Lehoucq (Monte Carlo Methods Appl., 2015)

Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. - Marta D'Elia; Qiang Du 001; Max D. Gunzburger; Richard B. Lehoucq (Comput. Methods Appl. Math., 2017)

Spiking Neural Algorithms for Markov Process Random Walk. - William Severa; Rich Lehoucq; Ojas Parekh; James B. Aimone (IJCNN, 2018)

Solving a steady-state PDE using spiking networks and neuromorphic hardware. - J. Darby Smith; William Severa; Aaron J. Hill; Leah Reeder; Brian Franke; Richard B. Lehoucq; Ojas D. Parekh; James B. Aimone (ICONS, 2020)

A Deterministic Hitting-Time Moment Approach to Seed-set Expansion over a Graph. - Alexander H. Foss; Richard B. Lehoucq; W. Zachary Stuart; J. Derek Tucker; Jonathan W. Berry (CoRR, 2020)

Assessing a Neuromorphic Platform for use in Scientific Stochastic Sampling. - James B. Aimone; Richard B. Lehoucq; William Severa; J. Darby Smith (ICRC, 2021)

Neuromorphic scaling advantages for energy-efficient random walk computation. - J. Darby Smith; Aaron J. Hill; Leah E. Reeder; Brian C. Franke; Richard B. Lehoucq; Ojas Parekh; William Severa; James B. Aimone (CoRR, 2021)

Learning to Parameterize a Stochastic Process Using Neuromorphic Data Generation. - William Severa; J. Darby Smith; James Bradley Aimone; Richard B. Lehoucq (ICONS, 2022)

Zero-Truncated Poisson Regression for Zero-Inflated Multiway Count Data. - Oscar López; Daniel M. Dunlavy; Richard B. Lehoucq (CoRR, 2022)

Optimal accuracy for linear sets of equations with the graph Laplacian. - Richard B. Lehoucq; Michael Weylandt; Jonathan W. Berry (CoRR, 2024)