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Dario Bini
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- affiliation: University of Pisa, Italy
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2020 – today
- 2024
- [i16]Dario Bini, Beatrice Meini:
On certain matrix algebras related to quasi-Toeplitz matrices. CoRR abs/2405.03483 (2024) - 2023
- [j65]Dario A. Bini, Bruno Iannazzo, Beatrice Meini, Jie Meng, Leonardo Robol:
Computing eigenvalues of semi-infinite quasi-Toeplitz matrices. Numer. Algorithms 92(1): 89-118 (2023) - [j64]Diego Altafini, Dario A. Bini, Valerio Cutini, Beatrice Meini, Federico Poloni:
An Edge Centrality Measure Based on the Kemeny Constant. SIAM J. Matrix Anal. Appl. 44(2): 648-669 (2023) - [i15]Dario A. Bini:
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis. CoRR abs/2307.12009 (2023) - [i14]Dario Andrea Bini, Fabio Durastante, Sooyeong Kim, Beatrice Meini:
On Kemeny's constant and stochastic complement. CoRR abs/2312.13201 (2023) - 2022
- [j63]Dario Bini, Guy Latouche, Beatrice Meini:
Numerical Solution of a Matrix Integral Equation Arising in Markov-Modulated Lévy Processes. SIAM J. Sci. Comput. 44(4): 2669- (2022) - [i13]Diego Altafini, Dario Andrea Bini, Valerio Cutini, Beatrice Meini, Federico Poloni:
An edge centrality measure based on the Kemeny constant. CoRR abs/2203.06459 (2022) - [i12]Dario A. Bini, Bruno Iannazzo, Beatrice Meini, Jie Meng, Leonardo Robol:
Computing eigenvalues of semi-infinite quasi-Toeplitz matrices. CoRR abs/2203.06484 (2022) - [i11]Dario Bini, Beatrice Meini:
A defect-correction algorithm for quadratic matrix equations, with applications to quasi-Toeplitz matrices. CoRR abs/2212.09491 (2022) - 2021
- [c17]Dario A. Bini, Bruno Iannazzo, Jie Meng:
Algorithms for Approximating Means of Semi-infinite Quasi-Toeplitz Matrices. GSI 2021: 405-414 - [i10]Dario A. Bini, Bruno Iannazzo, Jie Meng:
Geometric means of quasi-Toeplitz matrices. CoRR abs/2102.04302 (2021) - [i9]Dario A. Bini, Guy Latouche, Beatrice Meini:
Numerical solution of a matrix integral equation arising in Markov Modulated Lévy processes. CoRR abs/2107.11611 (2021) - 2020
- [j62]Dario Bini, Khalide Jbilou, Marilena Mitrouli, Lothar Reichel:
Numerical Analysis and Scientific Computation (NASCA18). J. Comput. Appl. Math. 373: 112612 (2020) - [j61]Dario A. Bini, Beatrice Meini, Jie Meng:
Solving Quadratic Matrix Equations Arising in Random Walks in the Quarter Plane. SIAM J. Matrix Anal. Appl. 41(2): 691-714 (2020) - [j60]Dario A. Bini, Stefano Massei, Beatrice Meini, Leonardo Robol:
A Computational Framework for Two-Dimensional Random Walks With Restarts. SIAM J. Sci. Comput. 42(4): A2108-A2133 (2020) - [i8]Dario Andrea Bini, Guy Latouche, Beatrice Meini:
A family of fast fixed point iterations for M/G/1-type Markov chains. CoRR abs/2008.11051 (2020)
2010 – 2019
- 2019
- [j59]Dario A. Bini, Stefano Massei, Leonardo Robol:
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Numer. Algorithms 81(2): 741-769 (2019) - [j58]Dario A. Bini, Beatrice Meini:
On the exponential of semi-infinite quasi-Toeplitz matrices. Numerische Mathematik 141(2): 319-351 (2019) - [i7]Dario A. Bini, Beatrice Meini, Jie Meng:
Solving quadratic matrix equations arising in random walks in the quarter plane. CoRR abs/1907.09796 (2019) - [i6]Dario A. Bini, Stefano Massei, Beatrice Meini, Leonardo Robol:
A computational framework for two-dimensional random walks with restarts. CoRR abs/1909.11372 (2019) - 2018
- [j57]Dario Bini, Jeffrey J. Hunter, Guy Latouche, Beatrice Meini, Peter G. Taylor:
Why is Kemeny's constant a constant? J. Appl. Probab. 55(4): 1025-1036 (2018) - [j56]Dario A. Bini, Stefano Massei, Beatrice Meini:
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Math. Comput. 87(314): 2811-2830 (2018) - [j55]Dario A. Bini, Stefano Massei, Beatrice Meini, Leonardo Robol:
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Numer. Linear Algebra Appl. 25(6) (2018) - 2016
- [j54]Dario Bini, Sarah Dendievel, Guy Latouche, Beatrice Meini:
General Solution of the Poisson Equation for Quasi-Birth-and-Death Processes. SIAM J. Appl. Math. 76(6): 2397-2417 (2016) - 2014
- [j53]Dario A. Bini, Lieven De Lathauwer, Nicola Mastronardi, Marc Van Barel, Raf Vandebril, Paul Van Dooren:
Introduction to the special issue. J. Comput. Appl. Math. 272: 275 (2014) - [j52]Dario A. Bini, Leonardo Robol:
Solving secular and polynomial equations: A multiprecision algorithm. J. Comput. Appl. Math. 272: 276-292 (2014) - [c16]Dario A. Bini, Leonardo Robol:
A multiprecision algorithm for the solution of polynomials and polynomial eigenvalue problems. SNC 2014: 17-18 - 2013
- [j51]Dario A. Bini, Vanni Noferini, Meisam Sharify:
Locating the Eigenvalues of Matrix Polynomials. SIAM J. Matrix Anal. Appl. 34(4): 1708-1727 (2013) - 2012
- [b2]Dario Bini, Bruno Iannazzo, Beatrice Meini:
Numerical Solution of Algebraic Riccati Equations. Fundamentals of algorithms 9, SIAM 2012, ISBN 978-1-611972-08-5, pp. I-XVI, 1-250 - [j50]Dario Andrea Bini, Paola Favati, Beatrice Meini:
A compressed cyclic reduction for QBDs with low rank upper and lower transitions. SIGMETRICS Perform. Evaluation Rev. 39(4): 33 (2012) - [j49]Dario Bini, Beatrice Meini, S. Steffé, Juan F. Pérez, Benny Van Houdt:
SMCSolver and Q-MAM: tools for matrix-analytic methods. SIGMETRICS Perform. Evaluation Rev. 39(4): 46 (2012) - 2011
- [j48]Dario Andrea Bini, Bruno Iannazzo:
A note on computing matrix geometric means. Adv. Comput. Math. 35(2-4): 175-192 (2011) - [j47]Dario A. Bini, Beatrice Meini, Federico Poloni:
On the solution of a quadratic vector equation arising in Markovian Binary Trees. Numer. Linear Algebra Appl. 18(6): 981-991 (2011) - [c15]Dario A. Bini, Paola Favati, Beatrice Meini:
A Compressed Cyclic Reduction for QBD processes with Low-Rank Upper and Lower Transitions. MAM 2011: 25-40 - 2010
- [j46]Michael W. Berry, Dario Andrea Bini, Nicola Mastronardi, Stefano Serra-Capizzano:
Preface. J. Comput. Appl. Math. 234(11): 3073-3074 (2010) - [j45]Dario Bini, Gianna M. Del Corso, Francesco Romani:
A combined approach for evaluating papers, authors and scientific journals. J. Comput. Appl. Math. 234(11): 3104-3121 (2010) - [j44]Dario Andrea Bini, Beatrice Meini, Federico Poloni:
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Math. Comput. 79(269): 437-452 (2010) - [j43]Dario A. Bini, Beatrice Meini, Federico Poloni:
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Numerische Mathematik 116(4): 553-578 (2010)
2000 – 2009
- 2009
- [j42]Dario Andrea Bini, Beatrice Meini:
The cyclic reduction algorithm: from Poisson equation to stochastic processes and beyond. Numer. Algorithms 51(1): 23-60 (2009) - [c14]Dario Bini, Beatrice Meini, S. Steffé, Benny Van Houdt:
Structured Markov chains solver: tool extension. VALUETOOLS 2009: 20 - 2008
- [j41]Dario Andrea Bini, Yuli Eidelman, Luca Gemignani, Israel Gohberg:
The unitary completion and QR iterations for a class of structured matrices. Math. Comput. 77(261): 353-378 (2008) - [j40]Dario Bini, Bruno Iannazzo, Federico Poloni:
A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation. SIAM J. Matrix Anal. Appl. 30(1): 276-290 (2008) - [j39]Dario Andrea Bini, Victor Y. Pan, Jan Verschelde:
Preface. Theor. Comput. Sci. 409(2): 155-157 (2008) - [e1]Dario Bini, Beatrice Meini, Vaidyanathan Ramaswami, Marie-Ange Remiche, Peter G. Taylor:
Numerical Methods for Structured Markov Chains, 11.11. - 14.11.2007. Dagstuhl Seminar Proceedings 07461, Internationales Begegnungs- und Forschungszentrum fuer Informatik (IBFI), Schloss Dagstuhl, Germany 2008 [contents] - 2007
- [j38]Dario Andrea Bini, Yuli Eidelman, Luca Gemignani, Israel Gohberg:
Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank-One Perturbations of Unitary Matrices. SIAM J. Matrix Anal. Appl. 29(2): 566-585 (2007) - [c13]Dario Andrea Bini, Paola Boito:
Structured matrix-based methods for polynomial in-gcd: analysis and comparisons. ISSAC 2007: 9-16 - [i5]Dario Andrea Bini, Bruno Iannazzo, Beatrice Meini, Federico Poloni:
Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms. Numerical Methods for Structured Markov Chains 2007 - [i4]Dario Andrea Bini, Beatrice Meini, Federico Poloni:
From Algebraic Riccati equations to unilateral quadratic matrix equations: old and new algorithms. Numerical Methods for Structured Markov Chains 2007 - [i3]Dario Andrea Bini, Beatrice Meini, Vaidyanathan Ramaswami:
On the tail decay of M/G/1-type Markov renewal processes. Numerical Methods for Structured Markov Chains 2007 - [i2]Dario Andrea Bini, Beatrice Meini, Vaidyanathan Ramaswami, Marie-Ange Remiche, Peter G. Taylor:
07461 Executive Summary -- Numerical Methods for Structured Markov Chains. Numerical Methods for Structured Markov Chains 2007 - [i1]Dario Andrea Bini, Beatrice Meini, Vaidyanathan Ramaswami, Marie-Ange Remiche, Peter G. Taylor:
07461 Abstracts Collection -- Numerical Methods for Structured Markov Chains. Numerical Methods for Structured Markov Chains 2007 - 2006
- [j37]Dario Andrea Bini, Ana Marco:
Computing curve intersection by means of simultaneous iterations. Numer. Algorithms 43(2): 151-175 (2006) - 2005
- [j36]Dario Andrea Bini, Nicholas J. Higham, Beatrice Meini:
Algorithms for the matrix pth root. Numer. Algorithms 39(4): 349-378 (2005) - [j35]Dario A. Bini, Luca Gemignani:
Solving quadratic matrix equations and factoring polynomials: new fixed point iterations based on Schur complements of Toeplitz matrices. Numer. Linear Algebra Appl. 12(2-3): 181-189 (2005) - [j34]Dario A. Bini, Luca Gemignani, Joab R. Winkler:
Structured matrix methods for CAGD: an application to computing the resultant of polynomials in the Bernstein basis. Numer. Linear Algebra Appl. 12(8): 685-698 (2005) - [j33]Dario A. Bini, Luca Gemignani, Victor Y. Pan:
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Numerische Mathematik 100(3): 373-408 (2005) - [j32]Dario Andrea Bini, Luca Gemignani, Françoise Tisseur:
The Ehrlich-Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem. SIAM J. Matrix Anal. Appl. 27(1): 153-175 (2005) - 2004
- [j31]Dario Bini, Luca Gemignani:
Bernstein-Bezoutian matrices. Theor. Comput. Sci. 315(2-3): 319-333 (2004) - 2003
- [j30]Dario A. Bini, Gianni Codevico, Marc Van Barel:
Solving Toeplitz Least Squares Problems by Means of Newton's Iteration. Numer. Algorithms 33(1-4): 93-103 (2003) - [j29]Dario Andrea Bini, Giuseppe Fiorentino, Luca Gemignani, Beatrice Meini:
Effective Fast Algorithms for Polynomial Spectral Factorization. Numer. Algorithms 34(2-4): 217-227 (2003) - 2001
- [j28]Dario Bini, Gianna M. Del Corso, Giovanni Manzini, Luciano Margara:
Inversion of circulant matrices over Zm. Math. Comput. 70(235): 1169-1182 (2001) - [j27]Dario Andrea Bini, Luca Gemignani, Beatrice Meini:
Factorization of analytic functions by means of Koenig's theorem and Toeplitz computations. Numerische Mathematik 89(1): 49-82 (2001) - 2000
- [j26]Dario Andrea Bini, Giuseppe Fiorentino:
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Numer. Algorithms 23(2-3): 127-173 (2000) - [j25]Giuseppe Alì, Dario Bini, Salvatore Rionero:
Global Existence and Relaxation Limit for Smooth Solutions to the Euler-Poisson Model for Semiconductors. SIAM J. Math. Anal. 32(3): 572-587 (2000)
1990 – 1999
- 1999
- [j24]Dario Andrea Bini, Giuseppe Fiorentino:
On the parallel evaluation of a sparse polynomial at a point. Numer. Algorithms 20(4): 323-329 (1999) - [j23]Dario Andrea Bini, Beatrice Meini:
Effective Methods for Solving Banded Toeplitz Systems. SIAM J. Matrix Anal. Appl. 20(3): 700-719 (1999) - [c12]Dario Bini, Beatrice Meini:
Solving Block Banded Block Toeplitz Systems with Structured Blocks: New Algorithms and Open Problems. LSSC 1999: 15-24 - 1998
- [j22]Dario Bini, Victor Y. Pan:
Computing Matrix Eigenvalues and Polynomial Zeros Where the Output is Real. SIAM J. Comput. 27(4): 1099-1115 (1998) - [c11]Dario Bini, Gianna M. Del Corso, Giovanni Manzini, Luciano Margara:
Inversion of Circulant Matrices over Zm. ICALP 1998: 719-730 - 1997
- [j21]Dario Andrea Bini, Beatrice Meini:
Improved cyclic reduction for solving queueing problems. Numer. Algorithms 15(1): 57-74 (1997) - 1996
- [j20]Dario Bini, Victor Y. Pan:
Graeffe's, Chebyshev-like, and Cardinal's Processes for Splitting a Polynomial into Factors. J. Complex. 12(4): 492-511 (1996) - [j19]Dario Andrea Bini:
Numerical computation of polynomial zeros by means of Aberth's method. Numer. Algorithms 13(2): 179-200 (1996) - [j18]Dario Bini, Luca Gemignani:
Erratum: Fast Parallel Computation of the Polynomial Remainder Sequence via Bezout and Hankel Matrices. SIAM J. Comput. 25(6): 1358 (1996) - [j17]Dario Bini, Beatrice Meini:
On the Solution of a Nonlinear Matrix Equation Arising in Queueing Problems. SIAM J. Matrix Anal. Appl. 17(4): 906-926 (1996) - 1995
- [j16]Dario Bini, Luca Gemignani:
Fast Parallel Computation of the Polynomial Remainder Sequence Via Bezout and Hankel Matrices. SIAM J. Comput. 24(1): 63-77 (1995) - 1994
- [b1]Dario Bini, Victor Y. Pan:
Polynomial and matrix computations, 1st Edition. Progress in theoretical computer science 12, Birkhäuser 1994, ISBN 3764337869, pp. I-XVI, 1-415 - 1993
- [j15]Dario Bini, Victor Y. Pan:
Improved Parallel Polynomial Division. SIAM J. Comput. 22(3): 617-626 (1993) - [j14]Dario Bini, Paola Favati:
On a Matrix Algebra Related to the Discrete Hartley Transform. SIAM J. Matrix Anal. Appl. 14(2): 500-507 (1993) - [c10]Dario Bini, Victor Y. Pan:
Parallel Computations with Toeplitz-like and Hankel-like Matrices. ISSAC 1993: 193-200 - 1992
- [j13]Dario Bini, Victor Y. Pan:
Practical improvement of the divide-and-conquer eigenvalue algorithms. Computing 48(1): 109-123 (1992) - [j12]Dario Bini, Luca Gemignani:
On the Complexity of Polynomial Zeros. SIAM J. Comput. 21(4): 781-799 (1992) - [c9]Dario Bini, Victor Y. Pan:
Improved Parallel Polynomial Division and Its Extensions. FOCS 1992: 131-136 - 1991
- [j11]Dario Bini, Victor Y. Pan:
On the evaluation of the Eigenvalues of a banded toeplitz block matrix. J. Complex. 7(4): 408-424 (1991) - [c8]Dario Bini, Luca Gemignani, Victor Y. Pan:
Improved Parallel Computations with Matrices and Polynomials. ICALP 1991: 520-531 - [c7]Dario Bini, Victor Y. Pan:
Parallel Complexity of Tridiagonal Symmetric Eigenvalue Problem. SODA 1991: 384-393 - 1990
- [c6]Dario Bini, Victor Y. Pan:
Parallel Polynomial Computations by Recursive Processes. ISSAC 1990: 294 - [c5]Dario Bini, Fabio Di Benedetto:
A New Preconditioner for the Parallel Solution of Positive Definite Toeplitz Systems. SPAA 1990: 220-223 - [c4]Dario Bini, Luca Gemignani:
On the Euclidean Scheme for Polynomials Having Interlaced Real Zeros. SPAA 1990: 254-258
1980 – 1989
- 1987
- [j10]Dario Bini, Victor Y. Pan:
A Logarithmic Boolean Time Algorithm for Parallel Polynomial Division. Inf. Process. Lett. 24(4): 233-237 (1987) - [j9]Dario Bini, Milvio Capovani:
Tensor Rank and Border Rank of Band Toeplitz Matrices. SIAM J. Comput. 16(2): 252-258 (1987) - 1986
- [j8]Dario Bini, Victor Y. Pan:
Polynomial division and its computational complexity. J. Complex. 2(3): 179-203 (1986) - [c3]Dario Bini, Victor Y. Pan:
A Logarithmic Boolean Time Algorithm for Parallel Polynomial Division. Aegean Workshop on Computing 1986: 246-251 - 1985
- [j7]Dario Bini, Victor Y. Pan:
Fast Parallel Polynomial Division via Reduction to Triangular Toeplitz Matrix Inversion and to Polynomial Inversion Modulo a Power. Inf. Process. Lett. 21(2): 79-81 (1985) - [c2]Dario Bini, Victor Y. Pan:
Algorithms for Polynominal Division. European Conference on Computer Algebra (2) 1985: 1-3 - 1984
- [j6]Dario Bini:
Parallel Solution of Certain Toeplitz Linear Systems. SIAM J. Comput. 13(2): 268-276 (1984) - [j5]Dario Bini:
On Commutativity and Approximation. Theor. Comput. Sci. 28: 135-150 (1984) - 1982
- [j4]Dario Bini:
Reply to the Paper "The Numerical Instability of Bini's Algorithm". Inf. Process. Lett. 14(3): 144-145 (1982) - 1980
- [j3]Dario Bini, Grazia Lotti, Francesco Romani:
Approximate Solutions for the Bilinear Form Computational Problem. SIAM J. Comput. 9(4): 692-697 (1980) - [c1]Dario Bini:
Border Rank of a pxqx2 Tensor and the Optimal Approximation od a Pair of Bilinear Forms. ICALP 1980: 98-108
1970 – 1979
- 1979
- [j2]Dario Bini, Milvio Capovani, Francesco Romani, Grazia Lotti:
O(n2.7799) Complexity for n*n Approximate Matrix Multiplication. Inf. Process. Lett. 8(5): 234-235 (1979) - [j1]Dario Bini, Milvio Capovani:
Lower Bounds of the Complexity of Linear Algebras. Inf. Process. Lett. 9(1): 46-47 (1979)
Coauthor Index
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