PUBLICATIONS
My undergraduate co-authors are
highlighted with one asterisk. My co-authors who were
graduate students when the paper was written are
highlighted with two asterisks.
39. On the rank structure of the
Moore-Penrose inverse of singular k-banded matrices.
Joint work with S. Furtado. Submitted.
38.
Singular matrices whose Moore-Penrose inverse is
tridiagonal. Joint work with S. Furtado. Applied
Math. and Comp., 459 (2023), Paper 128154, 14 pp.
37. Linear maps
preserving the Lorentz spectrum of 3x3 matrices. Joint
work with B. Faktor, R. Kommerell, R. Li, and
Joey Veltri. To appear in Involve.
36. Singular linear
preservers of cone type majorization. Joint work
with S. Furtado and K. C. Sivakumar.
Linear and Multilinear Algebra, 71 (2023), no
16, 2631-2644.
35. Linear maps preserving the Lorentz spectrum: the
2x2 case. Joint work with S. Furtado, A. Klausmeier*,
and J. Veltri*. ELA 38(2022), 317-330. pdf
34.
On why using DLP to solve the symmetric polynomial
eigenvalue problem might need to be reconsidered.
Joint work with J. Perez. To appear in Calcolo. pdf
33. Lorentz
eigenvalues of special matrices and related linear
preserver problems. Joint work with S. Furtado and
K.C. Sivakumar. Banach Journal of Mathematical
Analysis 15(2021), article 58. pdf
32.
Linearizations for interpolatory bases - a comparison:
New families of linearizations. Joint with with A.
Ashkar*, R. Kassem*, D. Mileeva* and J. Perez.
Electronic Journal of Linear Algebra, 36(2020),
799-833. pdf
31.
Conditioning and backward errors of eigenvalues of
homogeneous matrix polynomials under Mobius
transformations. Joint work with F. M. Dopico and L. M.
Anguas**. Math of Comp. 89 (2020), pp. 767-805. pdf
30. A comparison of eigenvalue condition
numbers for matrix polynomials. Joint work with F. M. Dopico
and L. M. Anguas**. Linear Algebra and Appl. 564 (2018),
pp.170-200. pdf
29. Explicit block-structures for
block-symmetric Fiedler-like pencils. Joint work
with M. Martin*, J. Perez, A. Song*, and I.
Viviano*. Electr. Journal of Linear Alg., 34
(2018), article 36. pdf (short
version), pdf
(long version)
28. A block-symmetric
linearization of odd-degree matrix polynomials with
optimal eigenvalue condition number and backward error. Joint work with F.
M. Dopico, S. Furtado, and L. Medina*. Calcolo (2018)
55:32. pdf
27. A simplified
approach to Fiedler-like pencils via strong
block minimal bases pencils. Joint work with F.
M. Dopico, J. Perez, R. Saavedra*, and B. Zykoski*.
Linear Algebra and its Applications, 547 (2018),
45-104. pdf
26. On the sign
characteristic of Hermitian linearizations in
DL(P). Joint work with J. Breen*, S. Ford*, and
S. Furtado. Linear Algebra and its Applications,
519 (2017), 73-101. pdf
25. Linearizations
of Hermitian matrix polynomials preserving the
sign characteristic.
Joint work with F. M. Dopico and S.
Furtado. SIAM J. Matrix Analysis &
Appl., 38 (2017), 249-272. pdf
24. Large vector
spaces of block-symmetric strong
linearizations for matrix polynomials.
Joint work with F. M. Dopico, S. Furtado, and
M. Rychnovsky*. Linear Algebra and its
Applications, 477 (2015), 165-210. pdf
23. The kernel of the matrix i*j mod(n)
when n is prime. Joint work with S.
Furtado, J. Karkoska*, K. Mayfield*, R.
Samalis*, and A. Telatovich*. Involve,
9-2 (2016), 265-280. pdf
22. Structured
linearizations from Fiedler pencils with
repetition II. Joint work with
Susana Furtado. Linear Algebra and its
Applications, 463 (2014) 282-321.
pdf
21. Structured
linearizations from Fiedler pencils with
repetition I. Joint work with K.
Curlett* and S. Furtado. Linear
Algebra and its Applications, 460 (2014),
51-80. pdf
20. Eigenvectors
and minimal bases for some families of
Fiedler-like linearizations. Joint work with
F. de Teran. Linear and Multilinear Algebra,
62, 1 (2014), 39-62. pdf
19. Palindromic linearizations of
matrix polynomials of odd degree obtained from Fiedler
pencils with repetition. Joint work with S. Furtado.
Electr. Journal of Linear Algebra, 23 (2012), 562-577. pdf
18. Recovery of eigenvectors and
minimal bases of matrix polynomials from generalized
Fiedler linearizations. Joint work with F. de Teran and F.
M. Dopico. SIAM. J. Matrix Analysis & Appl. 32(2011),
463-483. pdf
17. Distribution of exponents
of primitive circulant matrices in the first four boxes.
Joint work with K. Y. Fang*, S. Fuller*, and S.
Furtado. Involve 5(2012), 187-205. pdf
16.
On the gaps in the set of exponents of Boolean primitive
circulant matrices. Elect. Journ. of Linear Algebra
20(2010), 640-660. Joint work with Susana Furtado. pdf
15. Maximum exponent of
boolean circulant matrices with constant number of
nonzero entries in its generating vector. Joint work
with S. Furtado and N. Sherer*. Electronic Journal of
Combinatorics, 16(2009) no. 1, Research Paper, 66. pdf
14. A new algorithm for
computing the Geronimus transformation with large
shifts. Joint work with A. Deano and E.
Tavernetti*. Numerical Algorithms, 54(2010),
101-139. pdf
13.
On the exponent of
r-regular primitive matrices. Joint work with S.
Furtado. Electr. Journal of Linear Algebra 17(2008),
28-47. pdf
12. Minimum deviation, quasi-LU factorization
of nonsingular matrices. Joint work with C. R.
Johnson. Linear Algebra and its Appl.,
427(2007), 99-118. pdf
11. A more accurate algorithm for computing
Christoffel transformation. Joint work with F. M.
Dopico. Journal of Comp. and Appl. Math., 205(2007),
567-582. pdf
10. Numerical properties of shifted
tridiagonal LU factorizations. Joint work with C.
Brittin*. Med. Journal of Math., 4(2007),
275-288. pdf
9.
Congruence of
Hermitian matrices by Hermitian matrices. Joint work
with S. Furtado and C.R. Johnson. Linear
Algebra and Applications, 425(2007), 63-76.
pdf
8. Continuous
symmetric Sobolev inner products of order N
(II). ETNA, 24(2006), 55-65. Joint work with
F. Marcellan and J. Sanchez-Ruiz. pdf
7. Polynomial
perturbations of bilinear functionals and
Hessenberg matrices. Linear Algebra and
Applications, 414(2006), 64-83. Joint work with F.
Marcellan. pdf
6. Continuous
symmetric Sobolev inner products of order N (I).
Journal of Mathematical Analysis and Applications,
306(2005) 83-96. Joint work with F.
Marcellan and J. Sanchez-Ruiz. pdf
5. Stability
and sensitivity of tridiagonal LU factorization
without pivoting. BIT, 44(2004), 651-673. Joint
work with F. M. Dopico. pdf
4. Stability
and sensitivity of Darboux transformation without
pivoting. ETNA, 18(2004) 101-136. Joint work with
F. M. Dopico. pdf
3. Discrete-continuous
symmetrized Sobolev inner product. Acta Apl. Mat.,
82(2004) 309-331. Joint work wih K. H. Kwon and F.
Marcellan. pdf
2. Darboux transformations and
perturbation of linear functionals. Linear Algebra and
Applications, 384(2004), 215-242. Joint work with F.
Marcellan. pdf
1.
Continuous symmetric Sobolev inner products. Intern.
Math. Journal, 3(2003), 319-342. Joint work with F.
Marcellan. pdf