2025
IRKA Is a Riemannian Gradient Descent Method.
IEEE Trans. Autom. Control., May, 2025
2024
Hermitian Dynamic Mode Decomposition - Numerical Analysis and Software Solution.
ACM Trans. Math. Softw., March, 2024
A LAPACK Implementation of the Dynamic Mode Decomposition.
ACM Trans. Math. Softw., March, 2024
Koopman Resolvents of Nonlinear Discrete-Time Systems: Formulation and Identification.
Proceedings of the European Control Conference, 2024
2023
Numerical Considerations and a new implementation for invariant coordinate selection.
SIAM J. Math. Data Sci., March, 2023
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics.
CoRR, 2023
2022
An Algorithm for the Complete Solution of the Quartic Eigenvalue Problem.
ACM Trans. Math. Softw., 2022
Chebyshev kernel polynomial method for efficient calculation of the quasiparticle random phase approximation response function.
Comput. Phys. Commun., 2022
2021
Predicting the Critical Number of Layers for Hierarchical Support Vector Regression.
Entropy, 2021
Applications of Koopman Mode Analysis to Neural Networks.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021
2020
New Numerical Algorithm for Deflation of Infinite and Zero Eigenvalues and Full Solution of Quadratic Eigenvalue Problems.
ACM Trans. Math. Softw., 2020
Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points.
SIAM J. Sci. Comput., 2020
On Least Squares Problems with Certain Vandermonde-Khatri-Rao Structure with Applications to DMD.
SIAM J. Sci. Comput., 2020
Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices.
CoRR, 2020
2019
Data Driven Koopman Spectral Analysis in Vandermonde-Cauchy Form via the DFT: Numerical Method and Theoretical Insights.
SIAM J. Sci. Comput., 2019
Revisiting IRKA: Connections with pole placement and backward stability.
CoRR, 2019
New robust ScaLAPACK routine for computing the QR factorization with column pivoting.
CoRR, 2019
Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation.
CoRR, 2019
2018
Data Driven Modal Decompositions: Analysis and Enhancements.
SIAM J. Sci. Comput., 2018
Parallel Solver for Shifted Systems in a Hybrid CPU-GPU Framework.
SIAM J. Sci. Comput., 2018
The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces.
SIAM J. Matrix Anal. Appl., 2018
2017
Algorithm 977: A QR-Preconditioned QR SVD Method for Computing the SVD with High Accuracy.
ACM Trans. Math. Softw., 2017
2016
A New Selection Operator for the Discrete Empirical Interpolation Method - Improved A Priori Error Bound and Extensions.
SIAM J. Sci. Comput., 2016
2015
Vector Fitting for Matrix-valued Rational Approximation.
SIAM J. Sci. Comput., 2015
Quadrature-Based Vector Fitting for Discretized <i>H</i><sub>2</sub> Approximation.
SIAM J. Sci. Comput., 2015
A new framework for implicit restarting of the Krylov-Schur algorithm.
Numer. Linear Algebra Appl., 2015
2014
Quadrature-Based Vector Fitting: Implications For H2 System Approximation.
CoRR, 2014
2013
Efficient generalized Hessenberg form and applications.
ACM Trans. Math. Softw., 2013
2011
A note on shifted Hessenberg systems and frequency response computation.
ACM Trans. Math. Softw., 2011
Pseudospectral picture of the seismic algorithm for Surface Multiple Attenuation.
Proceedings of the MIPRO, 2011
2009
A Global Convergence Proof for Cyclic Jacobi Methods with Block Rotations.
SIAM J. Matrix Anal. Appl., 2009
Subspace Gap Residuals for Rayleigh-Ritz Approximations.
SIAM J. Matrix Anal. Appl., 2009
2008
On the Failure of Rank-Revealing QR Factorization Software - A Case Study.
ACM Trans. Math. Softw., 2008
2007
New Fast and Accurate Jacobi SVD Algorithm. II.
SIAM J. Matrix Anal. Appl., 2007
New Fast and Accurate Jacobi SVD Algorithm. I.
SIAM J. Matrix Anal. Appl., 2007
2002
On Positive Semidefinite Matrices with Known Null Space.
SIAM J. Matrix Anal. Appl., 2002
2001
On Accurate Quotient Singular Value Computation in Floating-Point Arithmetic.
SIAM J. Matrix Anal. Appl., 2001
2000
New Accurate Algorithms for Singular Value Decomposition of Matrix Triplets.
SIAM J. Matrix Anal. Appl., 2000
On Principal Angles between Subspaces of Euclidean Space.
SIAM J. Matrix Anal. Appl., 2000
1999
Matrices, Vector Spaces, and Information Retrieval.
SIAM Rev., 1999
1997
On Scaled Almost-Diagonal Hermitian Matrix Pairs.
SIAM J. Matrix Anal. Appl., October, 1997
Relative Residual Bounds For The Eigenvalues of a Hermitian Semidefinite Matrix.
SIAM J. Matrix Anal. Appl., January, 1997
Implementation of Jacobi Rotations for Accurate Singular Value Computation in Floating Point Arithmetic.
SIAM J. Sci. Comput., 1997
1994
On the Perturbation of the Cholesky Factorization.
SIAM J. Matrix Anal. Appl., October, 1994