PUBLICATIONS



RESEARCH PAPERS

22. Symmetric, skew-symmetric, and alternating linearizations from Fiedler pencils with repetition. In preparation.
21. Consecutive integers in the set of exponents of primitive circulant matrices. In preparation.
20. Eigenvectors and minimal bases for some families of Fiedler-like linearizations. Joint work with F. de Teran. Submitted. pdf
19. Palindromic linearizations of matrix polynomials of odd degree obtained from Fiedler pencils with repetition. Joint work with S. Furtado. Submitted. 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. To appear in Involve. 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