Publications

2016
Gameiro M, Lessard JP, Pugliese A. Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions. Foundations of Computational Mathematics. 2016;16(2):531-575. Download
2015
D'Ambrosio L, Lessard JP, Pugliese A. Blow-up profile for solutions of a fourth order nonlinear equation. Nonlinear Analysis: Theory, Methods & Applications. 2015;121:280-335. Download
Dieci L, Pugliese A. Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method. Mathematics of Computation. 2015;84:2763-2790. Download
2014
Dieci L, Papini A, Pugliese A, Spadoni A. Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters. In: Current Challenges in Stability Issues for Numerical Differential Equations. Vol. 2082. Lecture Notes In Mathematics. Springer International Publishing; 2014. p. 173-264. Link to article on publisher's website
2013
Dieci L, Papini A, Pugliese A. Approximating Coalescing Points for Eigenvalues of Hermitian Matrices of Three Parameters. SIAM Journal on Matrix Analysis and Applications. 2013;34:519–541. Download
2012
Dieci L, Pugliese A. Hermitian matrices depending on three parameters: Coalescing eigenvalues. Linear Algebra and its Applications. 2012;436:4120–4142. Download
2011
Dieci L, Gasparo GM, Papini A, Pugliese A. Locating coalescing singular values of large two-parameter matrices. Mathematics and Computers in Simulation. 2011;81:996–1005. Download
2009
Dieci L, Pugliese A. Two-parameter SVD: Coalescing singular values and periodicity. SIAM Journal on Matrix Analysis and Applications. 2009;31:375–403. Download
2008
Dieci L, Pugliese A. Singular values of two-parameter matrices: An algorithm to accurately find their intersections. Mathematics and Computers in Simulation. 2008;79:1255–1269. Download