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math.NA2024
Derivatives of the full QR factorisation and of the factored-form and compact WY representations
Stefanos-Aldo Papanicolopulos
QR factorisation plays an important role in matrix computations. Within the context of optimisation and of automatic differentiation of such computations, we need to compute the de…
math.NA2014
New fully symmetric and rotationally symmetric cubature rules on the triangle using minimal orthonormal bases
Stefanos-Aldo Papanicolopulos
Cubature rules on the triangle have been extensively studied, as they are of great practical interest in numerical analysis. In most cases, the process by which new rules are obtai…
math.NA2011★ 4 cited
Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle
Stefanos-Aldo Papanicolopulos
A method is developed to compute analytically fully symmetric cubature rules on the triangle by using symmetric polynomials to express the two kinds of invariance inherent in these…