PUBLICATIONS



                                                RESEARCH PAPERS

                    My undergraduate co-authors are highlighted with an asterisk.


29.  Block-structures for block-symmetric Fiedler-like pencils. Joint work with M. Martin*, J. Perez, A. Song*, and I. Viviano*. In preparation.

28.  Conditioning and backward error of block-symmetric block-tridiagonal linearizations of matrix polynomials.  Joint work with F. M. Dopico, S. Furtado, and L. Medina*.  Submitted. pdf

27.  A unified approach  to Fiedler-like pencils via strong block minimal bases pencils.  Joint work with F. M. Dopico, J. Perez, R. Saavedra*, and B. Zykoski*. Submitted. 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