dela Rosa, Paul Reine Kennett
Assistant Professor
Research Interests
Matrix analysis. Linear and multilinear algebra. Operator Theory. (in particular: Ritz values. Numerical ranges. Numerical radii. Compressions of linear operators.)
Matrix analysis. Linear and multilinear algebra. Operator Theory. (in particular: Ritz values. Numerical ranges. Numerical radii. Compressions of linear operators.)
Academic Groups
- Matrix Analysis and Linear Algebra (member)
-
Education
-
PhD Mathematics (2021)
Drexel UniversityDissertation: Ritz values and the free joint numerical radius
Adviser: Hugo J. Woerdeman -
MS Mathematics (2013)
University of the Philippines DilimanThesis: On products of \(S\)-Householder matrices
Adviser: Dennis I. Merino and Agnes T. Paras -
BS Mathematics (2010)
University of the Philippines Diliman
-
PhD Mathematics (2021)
-
Publications
- K. L. Dela Rosa and H. J. Woerdeman, Continuity of submatrices and Ritz sets associated to a point in the numerical range, Linear Algebra Appl. 624 (2021) 1-13.
- K. L. Dela Rosa and H. J. Woerdeman, Location of Ritz values in the numerical range of normal matrices, Linear Multilinear Algebra (2020).
- K. L. Dela Rosa, D. I. Merino, A. T. Paras, The subspaces spanned by Householder vectors associated with an orthogonal or a symplectic matrix, Linear Algebra Appl. 546 (2018) 37-49.
- R. L. Dela Cruz, K. L. Dela Rosa, Each \(2n\)-by-\(2n\) complex symplectic matrix is a product of \(n+1\) commutators of \(J\)-symmetries, Linear Algebra Appl. 517 (2017) 53-62.
- R. L. Dela Cruz, K. L. Dela Rosa, D. I. Merino, A. T. Paras, The Cartan-Dieudonné-Scherk theorems for complex \(S\)-orthogonal matrices, Linear Algebra Appl. 458 (2014) 251-260.
- K. L. Dela Rosa, D. I. Merino, A. T. Paras, The \(J\)-Householder matrices, Linear Algebra Appl. 436 (2012) 1189-1194.