Dela Rosa, Paul Reine Kennett
Assistant Professor
Research Interests
Linear and multilinear algebra. Matrix Analysis. Matrix Theory. (specific topics: matrix compressions and dilations, matrix decompositions, matrix inequalities, numerical ranges and numerical radii)
Linear and multilinear algebra. Matrix Analysis. Matrix Theory. (specific topics: matrix compressions and dilations, matrix decompositions, matrix inequalities, numerical ranges and numerical radii)
Academic Groups
- Matrix Analysis and Linear Algebra (member)
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Education
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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 DilimanThesis: \(J\)-Householder Matrices
Adviser: Agnes T. Paras
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PhD Mathematics (2021)
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Research
I am currently working on problems involving matrix decompositions, matrix compressions, numerical ranges, and numerical radii.
Graduate students
- Current
- Alexander Niño Gabriel C. Magtangob: M.S. Mathematics
- Eloise P. Misa: Ph.D. Mathematics
- Jomar Kevin D. Sta. Ana: Ph.D. Mathematics (co-advised with Ralph L. de la Cruz)
- Former
- Clark Kenneth Espinosa: M.S. Mathematics (2024)
Thesis title: On the Polar Decomposition of Generalized Companion Matrices - Juan Paolo C. Santos: M.S. Mathematics (2024)
Thesis title: On commutators of unipotent matrices of index 2
- Clark Kenneth Espinosa: M.S. Mathematics (2024)
Undergraduate students
- Current
- Endaniel Aldrix J. Felix: B.S. Mathematics
- Carl Justine C. Lao: B.S. Mathematics
- Former
- Japheth G. Dela Torre: B.S. Mathematics (2024)
Thesis title: A Family of Completely PPT Maps - John Victor T. Noynoyan: B.S. Mathematics (2024)
Thesis title: On Elliptical Numerical Ranges - Aedan Jarrod A. Potot: B.S. Mathematics (2024)
Thesis title: Schur-Horn theorem and Ky Fan principle for symplectic eigenvalues - Alfonso M. Gavino: B.S. Mathematics (2023)
Thesis title: Relating the Geometric Multiplicities of a Matrix with its Submatrices - Alexander Niño Gabriel C. Magtangob: B.S. Mathematics (2023)
Thesis title: Schur’s Triangularization Theorem and Sylvester’s Theorem for Dual Complex Matrices - Samantha Ysabel D. Alcantara: B.S. Mathematics (2023)
Thesis title: On the numerical range of {1,2}-inverses of a matrix - Ricci Mae DC. Margallo: B.S. Mathematics (2022)
Thesis title: Ritz Values of Weighted Shift Matrices
- Japheth G. Dela Torre: B.S. Mathematics (2024)
- Current
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Teaching
First Semester AY 2024-2025
- Classes
- Math 21 TWHFQ-8, TWThF 7:15-8:15
- Math 21 TWHFR-8, TWThF 8:45-9:45
- Math 21 TWHFU-2, TWThF 10:15-11:15
- Math 21 TWHFV-7, TWThF 11:45-12:45
- Consultation Hours
- TWThF 1:00-3:30
- Classes
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Publications
- K. L. Dela Rosa and H. J. Woerdeman, Completing an Operator Matrix and the Free Joint Numerical Radius, Complex Anal. Oper. Theory 16, 114 (2022).
- 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. de la 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. de la 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.