Numerical Analysis Research Unit

Recent and Selected Papers

· C. Di Fiore S. Fanelli, P. Zellini: Low-complexity minimization algorithms, Numerical Linear Algebra with Applications, 12 (2005), 755-768

· C. Di Fiore :  Structured matrices in unconstrained minimization methods, Contemporary Mathematics 323 (2003), 205-219        

· C. Di Fiore, F. Lepore, P. Zellini:  Hartley-type algebras in displacement and optimization strategies,
Linear Algebra and its Applications 366 (2003), 215-232

·  A. Bortoletti, C. Di Fiore,  On a set of matrix algebras related to discrete Hartley-type transforms,
Linear Algebra and its Applications 366 (2003), 65-85

·  A. Bortoletti, C. Di Fiore,  S. Fanelli, P. Zellini:  A new class of quasi-Newtonian methods for optimal learning in
MLP-networks, IEEE Transactions on neural networks 14 (2003), 263-273

· C. Di Fiore,S. Fanelli, F. Lepore, P. Zellini:  Matrix algebras in Quasi-Newton methods for unconstrained minimization,
Numerische Mathematik 94 (2003), 479-500

· C. Di Fiore, P. Zellini:  Matrix algebras in optimal preconditioning,
Linear Algebra and its Applications 335 (2001), 1-54

· C. Di Fiore, Matrix algebras and displacement decompositions,
SIAM J. Matrix Anal. Appl. 21 (2000), 646-667

· C. Di Fiore, P. Zellini:  Matrix displacement decompositions and applications to Toeplitz linear
systems, Linear Algebra and its Applications 268 (1998), 197-225

· R. Bevilacqua, P. Zellini:  Structure of algebras of commutative matrices,
Linear Algebra and its Applications 233 (1996), 5-41

· R. Bevilacqua, C. di Fiore, P. Zellini:  h-Space structure in matrix displacement formulas,
Calcolo 33 (1996), 11-35

· E. Bozzo, C. di Fiore, On the use of certain matrix algebras associated with discrete
trigonometric transforms in matrix displacement decomposition,
SIAM J. Matrix Anal. Appl. 16 (1995), 312-326

·  C. di Fiore, P. Zellini: Matrix decompositions using displacement rank and classes of commutative
matrix algebras, Linear Algebra and its Applications 229 (1995), 49-99

· R. Bevilacqua, P. Zellini:  Closure, commutativity and minimal complexity of some spaces of matrices,
Linear and Multilinear Algebra 25 (1989), 1-25

· P. Costantini, C. Manni: Curve and Surface Construction Using Hermite Subdivision Schemes, J. Comp. Appl. Math. (2009), to appear

· R. T. Farouki, C. Giannelli, C. Manni, A. Sestini: Quintic space curves with rational rotation-minimizing frames, CAGD (2009) to appear

· R. T. Farouki, C. Giannelli, C. Manni, A. Sestini: Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures,

CAGD 25 (2008), 274-297

· P. Costantini, C. Manni: On   Constrained Nonlinear Hermite Subdivision,  Constructive Approximation,

28 (2008), 291-331

· P. Costantini, C. Manni:  Refining Cubic parametric B-Splines, Computing 79 (2007), 291-299

· F. Pelosi, M.L. Sampoli, R. T. Farouki, C. Manni, A control polygon scheme for design of planar C^2 PH quintic spline curves, CAGD 24 (2007),  28-52

· C. Manni,  P. Sablonnière,  Quadratic Spline Quasi-interpolants on  Powell-Sabin Partitions, Advances in Computational Mathematics 26 (2007),  283-304

· C. Manni:  Shape Control in Powell-Sabin Quasi-Interpolation, in "Algorithms for Approximation",

A. Iske and J. Levesley (eds.), Springer-Verlag, Heidelberg, 2006,  219-240

· P. Costantini, T. Lyche,  C. Manni:  On a class of weak Tchebycheff systems,  Numerische Mathematik, 101 (2005), 333-354

· R. T. Farouki, C.Y. Han,  C. Manni, A. Sestini:  Characterization and construction of helical polynomial space curves,

Journal of Computational and Applied Mathematics 162 (2004), 365-392

· P. Lamberti, C. Manni: Tensioned Quasi--interpolation via Geometric Continuity, Advances in

Computational Mathematics, 20 (2004), 105-127

· C. Manni:  On Shape Preserving C^2 Hermite Interpolation, BIT, 41 (2001), 127-148

· P. Costantini, C. Manni:  A parametric cubic element with tension properties, SIAM J. Numerical Analysis,

36 (1999), 607-628

· C. Manni:   On the dimension of bivariate spline spaces on generalized quasi-cross-cut partitions,

Journal of Approximation Theory, 69, (1992), 141-155

· T. Lyche, F. Pelosi, K. Mørken: Stable linear wavelets on non uniform knots with vanishing moments, CAGD 26 (2009), 203-216

· F. Pelosi, P. Sablonnière: Shape-Preserving C^1 Hermite Interpolants Generated by a Gori-Pitolli Subdivision Scheme,

Journal of Computational and Applied Mathematics 220 (2008), 686-711

· P. Costantini, F. Pelosi, M.L. Sampoli: New spline spaces with generalized tension properties, BIT 48 (2008), 665-688

· P. Costantini, F. Pelosi: Data approximation using shape-preserving parametric surfaces,

SIAM J. Numerical Analysis 47 (2008) 20-47

· P. Costantini, F. Pelosi., M.L. Sampoli: Boolean Surfaces with Shape Constraints, CAGD 40 (2008), 62-75

· P. Costantini, F. Pelosi: Shape-preserving Histogram Approximation, Advances in Computational

Mathematics 26 (2007), 205-230

· F. Pelosi, R. T. Farouki, C. Manni, A. Sestini: Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics,

Advances in Computational Mathematics 22 (2005), 332-352

· P. Costantini, F. Pelosi: Shape-preserving approximation of spatial data, Advances in Computational

Mathematics 20 (2004), 25-51

· P. Costantini, F. Pelosi: Shape-preserving approximation by space curves, Numerical Algorithms, 27 (2001), 237-264