Department of Mathematics
University of Pisa

 Numerical Analysis

Dario Andrea Bini
Research activity:
The interest is addressed to the development of mathematical tools for the design, analysis and implementation of effective algorithms for the solution of computational problems. Particular attention is devoted to problems in Numerical Linear Algebra with applications, to the analysis of matrix structures, and to numerical issues.  Current areas of interest are


Papers  (1977-1989):

Papers  (1990-1999):

Papers  (2000-2009):

Papers  (2010 - ):

  1. Bini Dario Andrea, Boito Paola, Eidelman Yuli, Gemignani Luca, Gohberg Israel, A fast implicit QR eigenvalue algorithm for companion matrices, LINEAR ALGEBRA AND ITS APPLICATIONS,vol. 432,pp 2006,tot.pag 26,2010
  2. Bini Dario Andrea, Meini Beatrice, Poloni Federico,Transforming algebraic Riccati equations into unilateral quadratic matrix equations, NUMERISCHE MATHEMATIK,vol. 116/4,pp 553,tot.pag 26,tot. autori 3,2010
  3. Bini Dario Andrea, Del Corso Gianna Maria, Romani Francesco, A combined approach for evaluating papers, authors and scientific journals, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,vol. 234,pp 3104,tot.pag 18,tot. autori 3,2010
  4. Bini Dario Andrea, Meini Beatrice, Poloni Federico, An effective matrix geometric mean satisfying the Ando-Li-Mathias properties, MATHEMATICS OF COMPUTATION,vol. 269,pp 437,tot.pag 452,tot. autori 3,2010
  5. Bini Dario Andrea,, Iannazzo Bruno, Meini Beatrice, Poloni Federico, Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms in Matrix Methods: Theory, Algorithms and Applications,pp 176, 23,2010
  6. Bini Dario Andrea, Iannazzo Bruno, A note on computing matrix geometric means, ADVANCES IN COMPUTATIONAL MATHEMATICS,vol. 35,pp 175,tot.pag 18, 2011
    8. Bini Dario Andrea, Meini Beatrice, Poloni Federico, On the solution of a quadratic vector equation arising in Markovian Binary Trees. Numer. Linear Alg. Appl. 18, 2011 doi: 10.1002/nla.809


Books

  1. Complessità Numerica, Boringhieri 1981, (with M. Capovani, G. Lotti, F. Romani).
  2. Introduzione Alla Matematica Computazionale, Zanichelli, Bologna 1987 (with  R. Bevilacqua, M. Capovani,  O. Menchi)
  3. Metodi Numerici per l'Algebra Lineare, Zanichelli, Bologna 1988 (with M. Capovani, O. Menchi).
  4. Metodi Numerici, Zanichelli, Bologna 1992 (with R. Bevilacqua, M. Capovani, O. Menchi)
  5. Polynomial and Matrix Computations, Vol 1: Fundamental Algorithms, Birkhauser, Boston 1994 (with V. Pan).
  6. Numerical Methods for Structured Markov Chains, Oxford University Press, 2005 (with Guy Latouche and Beatrice Meini)
  7. Numerical Solution of Algebraic Riccati Equations, SIAM Publications, Philadelphia 2011 (with B. Iannazzo and B. Meini).
Software

Markov Chains


Toeplitz Matrices

Polynomial Computations

Tridiagonal Eigenvalue Problem