DARYL Q. GRANARIO, Ph.D.

My research focuses on matrices and their algebraic properties, mainly on their factorizations and canonical forms.

Dr. Daryl Granario obtained his PhD Mathematics degree from Auburn University, USA in 2020. He obtained his MS Mathematics and BS Mathematics, magna cum laude from the University of the Philippines-Diliman, where he also taught prior to joining the department. Dr. Granario’s research interests include matrix canonical forms and decompositions, matrix means and inequalities, and the geometry of matrices.

Associate Professor

PhD in Mathematics

Matrix Analysis

• D.Q. Granario, T.-Y. Tam, Products of symplectic positive definite matrices. Linear
  Algebra and its Applications 626 (2021) 188-203.
• R.J de la Cruz, D.Q. Granario, Products of symplectic normal matrices. Linear
  Algebra and its Applications 543 (2018) 162-172.
• R.J. de la Cruz, D.Q. Granario, The polar decomposition when the cosquare of is
  nonderogatory. Electronic Journal of Linear Algebra 31 (2016) 754-764.
• D.Q. Granario, D.I. Merino, A.T. Paras, The sum of two orthogonal matrices when
  is normal and . Linear Algebra and its Applications 495 (2016) 67-89.
• D.Q. Granario, D.I. Merino, A.T. Paras, The polar decomposition when the
  cosquare of is normal. Linear Algebra and its Applications 495 (2016) 51-66.
• D.Q. Granario, D.I. Merino, A.T. Paras, The polar decomposition when the
  cosquare of is normal. Linear Algebra and its Applications 467 (2015) 75-85.
• D.Q. Granario, D.I. Merino, A.T. Paras, The polar decomposition. Linear Algebra
  and its Applications 438 (2013) 609-620.