On the Euclidean Scheme for Polynomials Having Interlaced Real Zeros. - Dario Bini; Luca Gemignani (SPAA, 1990)

Improved Parallel Computations with Matrices and Polynomials. - Dario Bini; Luca Gemignani; Victor Y. Pan (ICALP, 1991)

Fast Inversion of Hankel and Toeplitz Matrices. - Luca Gemignani (Inf. Process. Lett., 1992)

On the Complexity of Polynomial Zeros. - Dario Bini; Luca Gemignani (SIAM J. Comput., 1992)

Solving Hankel Systems over the Integers. - Luca Gemignani (J. Symb. Comput., 1994)

Fast Parallel Computation of the Polynomial Remainder Sequence Via Bezout and Hankel Matrices. - Dario Bini; Luca Gemignani (SIAM J. Comput., 1995)

Erratum: Fast Parallel Computation of the Polynomial Remainder Sequence via Bezout and Hankel Matrices. - Dario Bini; Luca Gemignani (SIAM J. Comput., 1996)

GCD of Polynomials and Bezout Matrices. - Luca Gemignani (ISSAC, 1997)

Chebyshev rational interpolation. - Luca Gemignani (Numer. Algorithms, 1997)

Computing a Factor of a Polynomial by Means of Multishift LR Algorithms. - Luca Gemignani (SIAM J. Matrix Anal. Appl., 1998)

Efficient and stable solution of structured Hessenberg linear systems arising from difference equations. - Luca Gemignani (Numer. Linear Algebra Appl., 2000)

A generalized Graeffe's iteration for evaluating polynomials and rational functions. - Luca Gemignani (ISSAC, 2001)

Factorization of analytic functions by means of Koenig's theorem and Toeplitz computations. - Dario Andrea Bini; Luca Gemignani; Beatrice Meini (Numerische Mathematik, 2001)

A Lanczos-type algorithm for the QR factorization of regular Cauchy matrices. - Dario Fasino; Luca Gemignani (Numer. Linear Algebra Appl., 2002)

Effective Fast Algorithms for Polynomial Spectral Factorization. - Dario Andrea Bini; Giuseppe Fiorentino; Luca Gemignani; Beatrice Meini (Numer. Algorithms, 2003)

Direct and Inverse Eigenvalue Problems for Diagonal-Plus-Semiseparable Matrices. - Dario Fasino; Luca Gemignani (Numer. Algorithms, 2003)

Efficient and Stable Solution of M-Matrix Linear Systems of (Block) Hessenberg Form. - Luca Gemignani; Grazia Lotti (SIAM J. Matrix Anal. Appl., 2003)

Rounding Error Analysis in Solving M-Matrix Linear Systems of Block Hessenberg Form. - Luca Gemignani; Grazia Lotti (Numer. Algorithms, 2004)

Bernstein-Bezoutian matrices. - Dario Bini; Luca Gemignani (Theor. Comput. Sci., 2004)

Solving quadratic matrix equations and factoring polynomials: new fixed point iterations based on Schur complements of Toeplitz matrices. - Dario A. Bini; Luca Gemignani (Numer. Linear Algebra Appl., 2005)

Structured matrix methods for CAGD: an application to computing the resultant of polynomials in the Bernstein basis. - Dario A. Bini; Luca Gemignani; Joab R. Winkler (Numer. Linear Algebra Appl., 2005)

Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. - Dario A. Bini; Luca Gemignani; Victor Y. Pan (Numerische Mathematik, 2005)

Orthogonal Rational Functions and Structured Matrices. - Marc Van Barel; Dario Fasino; Luca Gemignani; Nicola Mastronardi (SIAM J. Matrix Anal. Appl., 2005)

The Ehrlich-Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem. - Dario Andrea Bini; Luca Gemignani; Françoise Tisseur (SIAM J. Matrix Anal. Appl., 2005)

Structured matrix methods for polynomial root-finding. - Luca Gemignani (ISSAC, 2007)

Structured eigenvalue problems for rational gauss quadrature. - Dario Fasino; Luca Gemignani (Numer. Algorithms, 2007)

Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank-One Perturbations of Unitary Matrices. - Dario Andrea Bini; Yuli Eidelman; Luca Gemignani; Israel Gohberg (SIAM J. Matrix Anal. Appl., 2007)

The unitary completion and QR iterations for a class of structured matrices. - Dario Andrea Bini; Yuli Eidelman; Luca Gemignani; Israel Gohberg (Math. Comput., 2008)

Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations. - Yuli Eidelman; Luca Gemignani; Israel Gohberg (Numer. Algorithms, 2008)

Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes. - Costanza Conti; Luca Gemignani; Lucia Romani (ISSAC, 2010)

From approximating to interpolatory non-stationary subdivision schemes with the same generation properties. - Costanza Conti; Luca Gemignani; Lucia Romani (Adv. Comput. Math., 2011)

On some classes of structured matrices with algebraic trigonometric eigenvalues. - Luca Gemignani (Appl. Math. Comput., 2011)

Modifications of Newton's method for even-grade palindromic polynomials and other twined polynomials. - Luca Gemignani; Vanni Noferini (Numer. Algorithms, 2012)

A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines. - Costanza Conti; Luca Gemignani; Lucia Romani (Adv. Comput. Math., 2013)

On the simultaneous refinement of the zeros of H-palindromic polynomials. - Simone Brugiapaglia; Luca Gemignani (J. Comput. Appl. Math., 2014)

Compression of unitary rank-structured matrices to CMV-like shape with an application to polynomial rootfinding. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (J. Comput. Appl. Math., 2015)

A CMV-Based Eigensolver for Companion Matrices. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (SIAM J. Matrix Anal. Appl., 2015)

Accurate polynomial root-finding methods for symmetric tridiagonal matrix eigenproblems. - Luca Gemignani (Comput. Math. Appl., 2016)

Implicit QR for companion-like pencils. - Paola Boito; Yuli Eidelman; Luca Gemignani (Math. Comput., 2016)

Fast Hessenberg Reduction of Some Rank Structured Matrices. - Luca Gemignani; Leonardo Robol (SIAM J. Matrix Anal. Appl., 2017)

Efficient solution of parameter-dependent quasiseparable systems and computation of meromorphic matrix functions. - Paola Boito; Yuli Eidelman; Luca Gemignani (Numer. Linear Algebra Appl., 2018)

Fast QR iterations for unitary plus low rank matrices. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (Numerische Mathematik, 2020)

Efficient Reduction of Compressed Unitary Plus Low Rank Matrices to Hessenberg Form. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (SIAM J. Matrix Anal. Appl., 2020)

Orthogonal iterations on Structured Pencils. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (CoRR, 2021)

Comparison Theorems for Splittings of M-matrices in (block) Hessenberg Form. - Luca Gemignani; Federico Poloni (CoRR, 2021)

Computing the reciprocal of a ϕ-function by rational approximation. - Paola Boito; Yuli Eidelman; Luca Gemignani (Adv. Comput. Math., 2022)

Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes. - Luca Gemignani; Lucia Romani; Alberto Viscardi (Adv. Comput. Math., 2022)

An Acceleration of Fixed Point Iterations for M/G/1-type Markov Chains by Means of Relaxation Techniques. - Luca Gemignani; Beatrice Meini (CoRR, 2022)

Orthogonal Iterations on Companion-Like Pencils. - Roberto Bevilacqua; Gianna M. Del Corso; Luca Gemignani (J. Sci. Comput., 2022)

Experimental Study of a Parallel Iterative Solver for Markov Chain Modeling. - Valerio Besozzi; M. Della Bartola; Luca Gemignani (ICCS (2), 2023)

Efficient Inversion of Matrix φ-Functions of Low Order. - Luca Gemignani (CoRR, 2023)

Relaxed fixed point iterations for matrix equations arising in Markov chain modeling. - Luca Gemignani; Beatrice Meini (Numer. Algorithms, 2023)

Numerical Solution of Nonclassical Boundary Value Problems. - Paola Boito; Yuli Eidelman; Luca Gemignani (CoRR, 2024)

Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems. - Lidia Aceto; Luca Gemignani (CoRR, 2024)

Scaling-and-squaring method for computing the inverses of matrix φ-functions. - Lidia Aceto; Luca Gemignani (CoRR, 2025)

Computing the action of the matrix generating function of Bernoulli polynomials on a vector with an application to non-local boundary value problems. - Lidia Aceto; Luca Gemignani (Adv. Comput. Math., 2025)