Polytechnic University of the Philippines

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20162022

most citedEach n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

3 citations

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4 papers

math.CO2022

Application of Tikhonov Regularization in Generalized Inverse of Adjacency Matrix of Undirected Graph

Paul Ryan Longhas, Alsafat Abdul

In this paper, we found the Moore-Penrose generalized inverse of adjacency matrix of an undirected graph, explicitly. We proved that the matrix $R_{λ} = [r_{ij}]$ is nonsingular where…

math.GM2022★ 1 cited

Factors of composite $4 n^{2} + 1$ using Fermat's factorization method

Paul Ryan Longhas, Alsafat Abdul, Aurea Rosal

In this article, we factor the composite $4 n^{2} + 1$ using Fermat's factorization method. Consequently, we characterized all proper factors of composite $4 n^{2} + 1$ in terms of its for…

cs.CY2020★ 3 cited

ASIAVR: Asian Studies Virtual Reality Game a Learning Tool

Kenn Migan Vincent C. Gumonan, Aleta C. Fabregas

The study aims to develop an application that will serve as an alternative learning tool for learning Asian Studies. The delivery of lessons into a virtual reality game depends on…

math.RA2016★ 3 cited

Each n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

Ma. Nerissa M. Abara, Dennis I. Merino, Vyacheslav I. Rabanovich +2

An $n \times n$ complex matrix $A$ is called coninvolutory if $A ˉ A = I_{n}$ and skew-coninvolutory if $A ˉ A = - I_{n}$ (which implies that $n$ is even). We prove that each matrix of s…

Application of Tikhonov Regularization in Generalized Inverse of Adjacency Matrix of Undirected Graph

Factors of composite 4n2+1 using Fermat's factorization method

ASIAVR: Asian Studies Virtual Reality Game a Learning Tool

Each n-by-n matrix with n>1 is a sum of 5 coninvolutory matrices

Factors of composite $4 n^{2} + 1$ using Fermat's factorization method