Last updated in June 2023
Publications
Accepted/Published Journal Articles
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A Hybrid Algorithm for Computing a Partial Singular Value Decomposition Satisfying a Given Threshold
(with
James Baglama and Jonathan A. Chavez)
Published online: August 2024
Numerical Algorithms.
(2024).
-
Note on a Rank-one Modification of the Singular Value Decomposition
(with
James Baglama and Timothy Toolan)
Published online: June 2023
Applied Mathematics and Computation.
Volume 457 (2023).
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Explicit Deflation in Golub-Kahan-Lanczos Bidiagonalization Methods
(with
James Baglama)
Electronic Transactions on Numerical Analysis.
Volume 58, pp.164–176 (2023).
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Hybrid Iterative Refined Restarted Lanczos Bidiagonalization Methods
(with
James Baglama
and Jennifer Picucci).
Published online: July 2022
Numerical Algorithms.
Volume 92, pp.1183–1212 (2023).
-
Quadratic Realizability of Palindromic Matrix Polynomials: The Real Case
(with
D. Steven Mackey).
Published online: May 2022
Linear and Multilinear Algebra.,
Volume 71(5), pp.797-841 (2023).
-
Quadratic Realizability of Palindromic Matrix Polynomials
(with
Fernando De Terán,
Froilán Dopico,
and
D. Steven Mackey).
Linear Algebra and its Applications ,
Volume 567, pp. 202-26 (2019).
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Linearizations of Matrix Polynomials in Newton Bases
(with D. Steven Mackey),
Linear Algebra and its Applications , Volume 556, pp. 1-45 (2018).
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Linearizations of Matrix Polynomials in Bernstein Bases
(with D. Steven Mackey),
Linear Algebra and its Applications, Volume 501, pp. 162-197 (2016).
Accepted/Published Conference Proceedings (peer-reviewed)
-
Towards Faster Execution of Ensemble ML Bootstrap Based
Techniques
(with
Vinay Gavirangaswamy,
Ajay Gupta,
and Hisham Saleh).
In 50th International Conference on Parallel Processing Workshop
(ICPP Workshops ’21), August 9–12, 2021, Lemont, IL, USA. ACM, New York,
NY, USA. doi.org/10.1145/3458744.3473365
Technical Reports
Software
Singular Values
The routines
trrsvds.m and
rd2svds.m
are MATLAB programs for
computing a few singular triplets of an
$m \times n$ matrix $A$ that implement
Algorithm 4 and Algorithm 5, respectively,
from the paper
Hybrid Iterative Refined Restarted
Lanczos Bidiagonalization Method.
trrsvds.m is a hybrid restarted Lanczos bidiagonalization method using
thick-restarting and restarting with a linear combination to compute
the $k$ largest (or smallest) singular values and associated singular vectors.
rd2svds.m is a restarted Lanczos bidiagonalization method using deflation
to compute the $k$ largest singular values and associated vectors.
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Click here to download the readme file readme.txt.
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Click here to download the MATLAB driver code driver_trrsvds_rd2svds.m.
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Click here to download the MATLAB code trrsvds.m.
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Click here to download the MATLAB code rd2svds.m.