PUBLICATIONS



RESEARCH PAPERS

1. On the gaps in the set of orders of bases for finite cyclic groups. Submitted.
2. On the gaps in the set of orders of bases for finite cyclic groups II. In preparation.
3. 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
4. A new algorithm for computing the Geronimus transformation with large shifts.  Joint work with A. Deano and E. Tavernetti. To appear in Numerical Algorithms. pdf
5. On the exponent of r-regular primitive matrices. Joint work with S. Furtado. Electr. Journal of Linear Algebra 17(2008), 28-47. pdf
6. Minimum deviation, quasi-LU factorization of nonsingular matrices. Joint work with C. R. Johnson. Linear Algebra and  its Appl., 427(2007), 99-118.  pdf
7.  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
8. 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
10.  Continuous symmetric Sobolev inner products of order N (II).  ETNA, 24(2006), 55-65. Joint work with F. Marcellan and J. Sanchez-Ruiz. pdf
11. Polynomial perturbations of bilinear functionals and Hessenberg matrices. Linear Algebra and Applications, 414(2006), 64-83.
Joint work with F. Marcellan. pdf
12.  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
13.  Stability and sensitivity of tridiagonal LU factorization without pivoting. BIT, 44(2004), 651-673. Joint work with F. M. Dopico. pdf
14.  Stability and sensitivity of Darboux transformation without pivoting. ETNA, 18(2004) 101-136. Joint work with F. M. Dopico. pdf
15.  Discrete-continuous symmetrized Sobolev inner product. Acta Apl. Mat., 82(2004) 309-331. Joint work wih K. H. Kwon and F. Marcellan. pdf
16. Darboux transformations and perturbation of linear functionals. Linear Algebra and Applications, 384(2004), 215-242. Joint work with F. Marcellan. pdf
17. Continuous symmetric Sobolev inner products. Intern. Math. Journal, 3(2003), 319-342. Joint work with F. Marcellan.  pdf