## Bini, Dario Andrea

Compute Distance To:
 Author ID: bini.dario-andrea Published as: Bini, Dario A.; Bini, Dario; Bini, Dario Andrea; Bini, D. A.; Bini, D. more...less
 Documents Indexed: 134 Publications since 1977, including 4 Books 11 Contributions as Editor · 1 Further Contribution Co-Authors: 56 Co-Authors with 128 Joint Publications 1,768 Co-Co-Authors
all top 5

### Co-Authors

 15 single-authored 44 Meini, Beatrice 22 Gemignani, Luca 21 Pan, Victor Yakovlevich 11 Latouche, Guy 9 Robol, Leonardo 8 Capovani, Milvio 8 Iannazzo, Bruno 7 Massei, Stefano 6 Poloni, Federico G. 5 Di Benedetto, Fabio 4 Del Corso, Gianna M. 4 Romani, Francesco 3 Boito, Paola 3 Eidelman, Yuli 3 Favati, Paola 3 Fiorentino, Giuseppe 3 Gohberg, Israel 3 Lotti, Grazia 3 Tyrtyshnikov, Evgeniĭ Evgen’evich 3 Van Barel, Marc 2 Böttcher, Albrecht 2 Dendievel, Sarah 2 Manzini, Giovanni 2 Margara, Luciano 2 Menchi, Ornella 2 Meng, Jie 2 Noferini, Vanni 2 Ramaswami, Vaidyanathan 2 Spitkovsky, Ilya Matvey 2 Tisseur, Françoise 1 Benzi, Michele 1 Berry, Michael W. 1 Codevico, Gianni 1 Daddi, Francesco 1 De Rossi, Alessandra 1 Ehrhardt, Torsten 1 Fontani, A. 1 Gabutti, Bruno 1 Higham, Nicholas J. 1 Hogben, Leslie 1 Hunter, Jeffrey J. 1 Jbilou, Khalide 1 Jeuris, Ben 1 Karlovych, Oleksiy 1 Kressner, Daniel 1 Marco García, Ana 1 Mastronardi, Nicola 1 Mehrmann, Volker 1 Mitrouli, Marilena 1 Olshevsky, Vadim 1 Pontecorvo, Largo Bruno 1 Reichel, Lothar 1 Rionero, Salvatore 1 Serra-Capizzano, Stefano 1 Sharify, Meisam 1 Simoncini, Valeria 1 Taylor, Peter Gerrard 1 Van Loan, Charles Francis 1 Vandebril, Raf 1 Winkler, Joab R. 1 Yalamov, Plamen Y.
all top 5

### Serials

 20 Linear Algebra and its Applications 12 Calcolo 10 Numerical Algorithms 9 SIAM Journal on Matrix Analysis and Applications 8 SIAM Journal on Computing 6 Mathematics of Computation 6 Numerische Mathematik 5 Information Processing Letters 5 Journal of Computational and Applied Mathematics 4 Numerical Linear Algebra with Applications 4 ETNA. Electronic Transactions on Numerical Analysis 3 Computers & Mathematics with Applications 3 Journal of Complexity 3 Stochastic Models 2 Theoretical Computer Science 2 Applied Numerical Mathematics 2 SIAM Journal on Scientific Computing 2 Operator Theory: Advances and Applications 1 IMA Journal of Numerical Analysis 1 BIT 1 Computing 1 Journal of Applied Probability 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Computers and Mathematics with Applications. Part A 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Lecture Notes in Mathematics 1 Advances in the Theory of Computation and Computational Mathematics 1 Springer INdAM Series 1 Numerical Mathematics and Scientific Computation 1 Fundamentals of Algorithms
all top 5

### Fields

 120 Numerical analysis (65-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 33 Computer science (68-XX) 32 Probability theory and stochastic processes (60-XX) 17 Field theory and polynomials (12-XX) 12 General and overarching topics; collections (00-XX) 10 Functions of a complex variable (30-XX) 9 Real functions (26-XX) 8 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Partial differential equations (35-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

128 Publications have been cited 1,817 times in 1,075 Documents Cited by Year
Numerical methods for structured Markov chains. Zbl 1076.60002
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2005
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
1994
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
2012
Spectral and computational properties of band symmetric Toeplitz matrices. Zbl 0549.15005
Bini, Dario; Capovani, Milvio
1983
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
2000
$$0(n^{2.7799})$$ complexity for $$n\times n$$ approximate matrix multiplication. Zbl 0395.68048
Bini, Dario; Capovani, Milvio; Romani, Francesco; Lotti, Grazia
1979
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2010
Global existence and relaxation limit for smooth solutions to the Euler-Poisson model for semiconductors. Zbl 0984.35104
Alì, G.; Bini, D.; Rionero, S.
2000
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
1996
On the solution of a nonlinear matrix equation arising in queueing problems. Zbl 0861.65040
Bini, Dario; Meini, Beatrice
1996
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
2005
On a matrix algebra related to the discrete Hartley transform. Zbl 0773.65029
Bini, Dario; Favati, Paola
1993
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
2013
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
2013
Parallel solution of certain Toeplitz linear systems. Zbl 0534.68026
Bini, Dario
1984
Computations with infinite Toeplitz matrices and polynomials. Zbl 0999.65025
Bini, D. A.; Gemignani, L.; Meini, B.
2002
Relations between exact and approximate bilinear algorithms. Applications. Zbl 0459.65028
Bini, D.
1980
Effective methods for solving banded Toeplitz systems. Zbl 0930.65015
Bini, Dario Andrea; Meini, Beatrice
1999
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
2008
On cyclic reduction applied to a class of Toeplitz-like matrices arising in queueing problems. Zbl 0862.60085
Bini, Dario; Meini, Beatrice
1995
Algorithms for the matrix $$p$$th root. Zbl 1103.65046
Bini, Dario A.; Higham, Nicholas; Meine, Beatrice
2005
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
1997
Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices. Zbl 1147.65031
Bini, D. A.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2008
Approximate solutions for the bilinear form computational problem. Zbl 0446.68035
Bini, Dario; Lotti, Grazia; Romani, Francesco
1980
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
2014
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
2004
Polynomial division and its computational complexity. Zbl 0629.68040
Bini, Dario; Pan, Victor
1986
Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046
Bini, D. A.; Gemignani, L.; Pan, V. Y.
2004
The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub. Zbl 1170.65021
Bini, Dario A.; Meini, Beatrice
2009
Structured matrix-based methods for polynomial $$\varepsilon$$-gcd: analysis and comparisons. Zbl 1190.65060
Bini, Dario A.; Boito, Paola
2007
Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061
Bini, Dario A.; Noferini, Vanni
2013
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2010
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2010
Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2003
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
2006
Tensor rank and border rank of band Toeplitz matrices. Zbl 0615.15014
Bini, D.; Capovani, M.
1987
Bernstein-Bézoutian matrices. Zbl 1071.65014
Bini, D. A.; Gemignani, L.
2004
Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues. Zbl 1386.65129
Bini, D. A.; Dendievel, S.; Latouche, G.; Meini, B.
2016
Approximate displacement rank and applications. Zbl 1004.65054
Bini, Dario Andrea; Meini, Beatrice
2001
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
2005
Numerical methods for linear algebra. (Metodi numerici per l’algebra lineare.) Zbl 0697.65009
Bini, Dario; Capovani, Milvio; Menchi, Ornella
1988
A fast algorithm for approximate polynomial gcd based on structured matrix computations. Zbl 1203.65078
Bini, Dario A.; Boito, Paola
2010
Effective fast algorithms for polynomial spectral factorization. Zbl 1035.65047
Bini, D. A.; Fiorentino, G.; Gemignani, L.; Meini, B.
2003
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
2004
Fast parallel computation of the polynomial remainder sequence via Bézout and Hankel matrices. Zbl 0818.68092
Bini, Dario; Gemignani, Luca
1995
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
1993
Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501
Bini, Dario; Pan, Victor
1991
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2002
Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Zbl 0646.65035
Bini, D.; Pan, V.
1988
Fast parallel and sequential computations and spectral properties concerning band Toeplitz matrices. Zbl 0542.65017
Bini, D.; Capovani, M.
1983
Stability of fast algorithms for matrix multiplication. Zbl 0431.65024
Bini, Dario; Lotti, Grazia
1980
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
2018
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
2011
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2019
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Zbl 07031734
Bini, Dario Andrea; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2018
Fast fraction-free triangularization of Bézoutians with applications to sub-resultant chain computation. Zbl 0937.65031
Bini, Dario Andrea; Gemignani, Luca
1998
Factorization of analytic functions by means of Koenig’s theorem and Toeplitz computations. Zbl 0990.65036
Bini, Dario Andrea; Gemignani, Luca; Meini, Beatrice
2001
On a class of matrix pencils and $$\ell$$-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
2016
Fast solution of a certain Riccati equation through Cauchy-like matrices. Zbl 1189.65075
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2009
On the decay of the off-diagonal singular values in cyclic reduction. Zbl 1360.65118
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2017
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
2014
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
1998
Inverting block Toeplitz matrices in block Hessenberg form by means of displacement operators: Application to queueing problems. Zbl 0894.65008
Bini, Dario Andrea; Meini, Beatrice
1998
Inversion of circulant matrices over $$\mathbf{Z}_m$$. Zbl 0977.65022
Bini, Dario; Del Corso, Gianna M.; Manzini, Giovanni; Margara, Luciano
2001
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
2019
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
2018
Solving quadratic matrix equations and factoring polynomials: new fixed point iterations based on Schur complements of Toeplitz matrices. Zbl 1164.65379
Bini, Dario A.; Gemignani, Luca
2005
Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis. Zbl 1164.65314
Bini, Dario A.; Gemignani, Luca; Winkler, Joab R.
2005
Evaluating scientific products by means of citation-based models: a first analysis and validation. Zbl 1172.65017
Bini, Dario A.; Del Corso, Gianna M.; Romani, Francesco
2008
Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053
Bini, D.; Pan, V.
1992
Solving certain matrix equations by means of Toeplitz computations: Algorithms and applications. Zbl 1039.65031
Bini, Dario A.; Gemignani, Luca; Meini, Beatrice
2003
Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059
Bini, D. A.; Codevico, G.; Van Barel, M.
2003
Solving the generalized eigenvalue problem for rational Toeplitz matrices. Zbl 0724.65037
Bini, Dario; Di Benedetto, Fabio
1990
Graeffe’s, Chebyshev-like, and Cardinal’s processes for splitting a polynomial into factors. Zbl 0862.68055
Bini, Dario; Pan, Victor Y.
1996
Computing curve intersection by means of simultaneous iterations. Zbl 1111.65019
Bini, Dario A.; Marco, Ana
2006
The unitary completion and QR iterations for a class of structured matrices. Zbl 1141.65025
Bini, D. A.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2008
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. Zbl 1372.65122
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2017
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
2020
On functions of quasi-Toeplitz matrices. Zbl 1388.15006
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
2017
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
2011
Improved parallel computations with matrices and polynomials. Zbl 0772.68060
Bini, Dario; Gemignani, Luca; Pan, Victor
1991
Improved parallel polynomial division. Zbl 0779.68048
Bini, Dario; Pan, Victor
1993
Iteration schemes for the divide-and-conquer eigenvalue solver. Zbl 0809.65032
Bini, Dario; Gemignani, Luca
1994
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
1993
Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052
Bini, Dario A.; Böttcher, Albrecht
2003
Nonsymmetric algebraic Riccati equations associated with an M-matrix: Recent advances and algorithms. Zbl 1215.65077
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice; Poloni, Federico
2010
A family of modified regularizing circulant preconditioners for two-levels Toeplitz systems. Zbl 1067.65029
Bini, D. A.; Favati, P.; Menchi, O.
2004
A combined approach for evaluating papers, authors and scientific journals. Zbl 1201.93005
Bini, Dario A.; Del Corso, Gianna M.; Romani, F.
2010
A probabilistic interpretation of cyclic reduction and its relationships with logarithmic reduction. Zbl 1175.65012
Bini, Dario A.; Meini, Beatrice; Ramaswami, Vaidyanathan
2008
A computational framework for two-dimensional random walks with restarts. Zbl 1462.65046
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2020
Shift techniques and canonical factorizations in the solution of M/G/1-type Markov chains. Zbl 1075.60091
Bini, Dario A.; Meini, Beatrice; Spitkovsky, Ilya M.
2005
On the complexity of polynomial zeros. Zbl 0756.65071
Bini, Dario; Gemignani, Luca
1992
A logarithmic Boolean time algorithm for parallel polynomial division. Zbl 0595.68042
Bini, D.; Pan, V.
1986
Border rank of m$$\times n\times (mn-q)$$ tensors. Zbl 0598.15026
Bini, Dario
1986
Tensor and border rank of certain classes of matrices and the fast evaluation of determinant, inverse matrix, and eigenvalues. Zbl 0608.65018
Bini, Dario
1985
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
1993
Matrix structures in parallel matrix computations. Zbl 0675.65030
Bini, D.
1988
On commutativity and approximation. Zbl 0548.68036
Bini, Dario
1984
Border rank of a $$p\times q\times 2$$ tensor and the optimal approximation of a pair of bilinear forms. Zbl 0445.68028
Bini, D.
1980
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
2017
A family of fast fixed point iterations for M/G/1-type Markov chains. Zbl 07524721
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2022
Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices. Zbl 1496.65059
Bini, Dario A.; Iannazzo, Bruno; Meng, Jie
2021
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
2020
A computational framework for two-dimensional random walks with restarts. Zbl 1462.65046
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2020
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2019
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
2019
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
2018
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Zbl 07031734
Bini, Dario Andrea; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2018
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
2018
On the decay of the off-diagonal singular values in cyclic reduction. Zbl 1360.65118
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2017
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. Zbl 1372.65122
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
2017
On functions of quasi-Toeplitz matrices. Zbl 1388.15006
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
2017
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
2017
Generalization of the Brauer theorem to matrix polynomials and matrix Laurent series. Zbl 1365.15019
Bini, D. A.; Meini, B.
2017
Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. Zbl 1372.65023
Bini, D. A.; Latouche, G.; Meini, B.
2017
Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues. Zbl 1386.65129
Bini, D. A.; Dendievel, S.; Latouche, G.; Meini, B.
2016
On a class of matrix pencils and $$\ell$$-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
2016
General solution of the Poisson equation for quasi-birth-and-death processes. Zbl 1352.65124
Bini, Dario; Dendievel, Sarah; Latouche, Guy; Meini, Beatrice
2016
Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications. Zbl 1338.65098
Bini, Dario A.; Robol, Leonardo
2016
Matrix structures in queuing models. Zbl 1361.60082
Bini, Dario A.
2016
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
2014
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
2014
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
2013
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
2013
Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061
Bini, Dario A.; Noferini, Vanni
2013
A compressed cyclic reduction for QBD processes with low-rank upper and lower transitions. Zbl 1280.60045
Bini, Dario A.; Favati, Paola; Meini, Beatrice
2013
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
2012
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
2011
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
2011
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2010
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2010
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2010
A fast algorithm for approximate polynomial gcd based on structured matrix computations. Zbl 1203.65078
Bini, Dario A.; Boito, Paola
2010
Nonsymmetric algebraic Riccati equations associated with an M-matrix: Recent advances and algorithms. Zbl 1215.65077
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice; Poloni, Federico
2010
A combined approach for evaluating papers, authors and scientific journals. Zbl 1201.93005
Bini, Dario A.; Del Corso, Gianna M.; Romani, F.
2010
Special issue: Numerical linear algebra, internet and large scale applications. Selected papers based on the presentations at the international workshop, Monopoli, Italy, September 9–14, 2007. Zbl 1198.65006
2010
Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011
2010
The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub. Zbl 1170.65021
Bini, Dario A.; Meini, Beatrice
2009
Fast solution of a certain Riccati equation through Cauchy-like matrices. Zbl 1189.65075
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
2009
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
2008
Fast QR eigenvalue algorithms for Hessenberg matrices which are rank-one perturbations of unitary matrices. Zbl 1147.65031
Bini, D. A.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2008
Evaluating scientific products by means of citation-based models: a first analysis and validation. Zbl 1172.65017
Bini, Dario A.; Del Corso, Gianna M.; Romani, Francesco
2008
The unitary completion and QR iterations for a class of structured matrices. Zbl 1141.65025
Bini, D. A.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
2008
A probabilistic interpretation of cyclic reduction and its relationships with logarithmic reduction. Zbl 1175.65012
Bini, Dario A.; Meini, Beatrice; Ramaswami, Vaidyanathan
2008
On certain (block) Toeplitz matrices related to radial functions. Zbl 1132.65035
Bini, Dario A.; De Rossi, Alessandra; Gabutti, Bruno
2008
Structured matrix-based methods for polynomial $$\varepsilon$$-gcd: analysis and comparisons. Zbl 1190.65060
Bini, Dario A.; Boito, Paola
2007
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
2006
Computing curve intersection by means of simultaneous iterations. Zbl 1111.65019
Bini, Dario A.; Marco, Ana
2006
Numerical methods for structured Markov chains. Zbl 1076.60002
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2005
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
2005
Algorithms for the matrix $$p$$th root. Zbl 1103.65046
Bini, Dario A.; Higham, Nicholas; Meine, Beatrice
2005
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
2005
Solving quadratic matrix equations and factoring polynomials: new fixed point iterations based on Schur complements of Toeplitz matrices. Zbl 1164.65379
Bini, Dario A.; Gemignani, Luca
2005
Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis. Zbl 1164.65314
Bini, Dario A.; Gemignani, Luca; Winkler, Joab R.
2005
Shift techniques and canonical factorizations in the solution of M/G/1-type Markov chains. Zbl 1075.60091
Bini, Dario A.; Meini, Beatrice; Spitkovsky, Ilya M.
2005
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
2004
Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046
Bini, D. A.; Gemignani, L.; Pan, V. Y.
2004
Bernstein-Bézoutian matrices. Zbl 1071.65014
Bini, D. A.; Gemignani, L.
2004
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
2004
A family of modified regularizing circulant preconditioners for two-levels Toeplitz systems. Zbl 1067.65029
Bini, D. A.; Favati, P.; Menchi, O.
2004
Non-skip-free M/G/1-type Markov chains and Laurent matrix power series. Zbl 1055.65013
Bini, Dario A.; Meini, Beatrice
2004
Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2003
Effective fast algorithms for polynomial spectral factorization. Zbl 1035.65047
Bini, D. A.; Fiorentino, G.; Gemignani, L.; Meini, B.
2003
Solving certain matrix equations by means of Toeplitz computations: Algorithms and applications. Zbl 1039.65031
Bini, Dario A.; Gemignani, Luca; Meini, Beatrice
2003
Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059
Bini, D. A.; Codevico, G.; Van Barel, M.
2003
Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052
Bini, Dario A.; Böttcher, Albrecht
2003
Computations with infinite Toeplitz matrices and polynomials. Zbl 0999.65025
Bini, D. A.; Gemignani, L.; Meini, B.
2002
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
2002
Approximate displacement rank and applications. Zbl 1004.65054
Bini, Dario Andrea; Meini, Beatrice
2001
Factorization of analytic functions by means of Koenig’s theorem and Toeplitz computations. Zbl 0990.65036
Bini, Dario Andrea; Gemignani, Luca; Meini, Beatrice
2001
Inversion of circulant matrices over $$\mathbf{Z}_m$$. Zbl 0977.65022
Bini, Dario; Del Corso, Gianna M.; Manzini, Giovanni; Margara, Luciano
2001
Structured matrices. Recent advances and applications. Zbl 1008.15003
2001
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
2000
Global existence and relaxation limit for smooth solutions to the Euler-Poisson model for semiconductors. Zbl 0984.35104
Alì, G.; Bini, D.; Rionero, S.
2000
Solving block banded block Toeplitz systems with structured blocks: New algorithms and open problems. Zbl 0966.65028
Bini, Dario Andrea; Meini, Beatrice
2000
Using FFT-based techniques in polynomial and matrix computations: Recent advances and applications. Zbl 0953.65101
Bini, Dario Andrea
2000
Effective methods for solving banded Toeplitz systems. Zbl 0930.65015
Bini, Dario Andrea; Meini, Beatrice
1999
On the parallel evaluation of a sparse polynomial at a point. Zbl 0936.65017
Bini, Dario Andrea; Fiorentino, Giuseppe
1999
Fast fraction-free triangularization of Bézoutians with applications to sub-resultant chain computation. Zbl 0937.65031
Bini, Dario Andrea; Gemignani, Luca
1998
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
1998
Inverting block Toeplitz matrices in block Hessenberg form by means of displacement operators: Application to queueing problems. Zbl 0894.65008
Bini, Dario Andrea; Meini, Beatrice
1998
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
1997
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
1996
On the solution of a nonlinear matrix equation arising in queueing problems. Zbl 0861.65040
Bini, Dario; Meini, Beatrice
1996
Graeffe’s, Chebyshev-like, and Cardinal’s processes for splitting a polynomial into factors. Zbl 0862.68055
Bini, Dario; Pan, Victor Y.
1996
Erratum: Fast parallel computation of the polynomial remainder sequence via Bezout and Hankel matrices. Zbl 0876.68054
Bini, Dario; Gemignani, Luca
1996
Divide and conquer techniques for the polynomial root-finding problem. Zbl 0843.65031
Bini, Dario
1996
Exploiting the Toeplitz structure in certain queueing problems. Zbl 0904.65148
Bini, Dario Andrea; Meini, Beatrice
1996
On cyclic reduction applied to a class of Toeplitz-like matrices arising in queueing problems. Zbl 0862.60085
Bini, Dario; Meini, Beatrice
1995
Fast parallel computation of the polynomial remainder sequence via Bézout and Hankel matrices. Zbl 0818.68092
Bini, Dario; Gemignani, Luca
1995
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
1994
Iteration schemes for the divide-and-conquer eigenvalue solver. Zbl 0809.65032
Bini, Dario; Gemignani, Luca
1994
On a matrix algebra related to the discrete Hartley transform. Zbl 0773.65029
Bini, Dario; Favati, Paola
1993
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
1993
Improved parallel polynomial division. Zbl 0779.68048
Bini, Dario; Pan, Victor
1993
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
1993
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
1993
Fast discrete transforms by means of eigenpolynomials. Zbl 0791.65109
Bini, D.; Bozzo, E.
1993
Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053
Bini, D.; Pan, V.
1992
On the complexity of polynomial zeros. Zbl 0756.65071
Bini, Dario; Gemignani, Luca
1992
...and 28 more Documents
all top 5

### Cited by 1,170 Authors

 74 Pan, Victor Yakovlevich 60 Bini, Dario Andrea 43 Serra-Capizzano, Stefano 36 Gemignani, Luca 29 Meini, Beatrice 21 Robol, Leonardo 21 Van Barel, Marc 20 Lim, Yongdo 19 Latouche, Guy 17 Vandebril, Raf 16 Melman, Aaron 14 Del Corso, Gianna M. 13 Bevilacqua, Roberto 13 Massei, Stefano 12 Donatelli, Marco 12 Iannazzo, Bruno 12 Winkler, Joab R. 11 Dopico, Froilán M. 10 Di Fiore, Carmine 10 Guo, Chun-Hua 10 Noferini, Vanni 10 Zellini, Paolo 9 Garoni, Carlo 9 Ng, Michael Kwok-Po 9 Van Houdt, Benny 8 Eidelman, Yuli 8 Lee, Hosoo 8 Mourrain, Bernard 8 Pálfia, Miklós 8 Poloni, Federico G. 8 Sagraloff, Michael 7 Belhaj, Skander 7 Chiang, Chun-Yueh 7 Dong, Ning 7 Gohberg, Israel 7 Kim, Hyunmin 7 Li, Rencang 7 Malyshev, Alexander N. 7 Mastronardi, Nicola 7 Petković, Miodrag S. 7 Tyrtyshnikov, Evgeniĭ Evgen’evich 7 Van Dooren, Paul M. 6 Corless, Robert Malcolm 6 Dendievel, Sarah 6 Di Benedetto, Fabio 6 Guo, Pei-Chang 6 Heinig, Georg 6 Kim, Sejong 6 King-wah Chu, Eric 6 Kressner, Daniel 6 Landsberg, Joseph Montague 6 Pérez, Javier J. 6 Reichel, Lothar 6 Rost, Karla 6 Simoncini, Valeria 6 Wu, Shulin 5 Absil, Pierre-Antoine 5 Benner, Peter 5 Bozzo, Enrico 5 Chèze, Guillaume 5 Christandl, Matthias 5 de Terán, Fernando 5 Delvaux, Steven 5 Díaz-Toca, Gema María 5 Ekstrom, Sven-Erik 5 Fan, Hung-Yuan 5 Favati, Paola 5 Huang, Ting-Zhu 5 Lawson, Jimmie Don 5 Lotti, Grazia 5 Ma, Changfeng 5 Mach, Thomas 5 Meng, Jie 5 Mitrouli, Marilena 5 Miyajima, Shinya 5 Novati, Paolo 5 Olshevsky, Vadim 5 Rosholt, Rhys Eric 5 Sadkane, Miloud 5 Silvestrov, Dmitrii 5 Silvestrov, Sergei D. 5 Sun, Haiwei 5 Taylor, Peter Gerrard 5 Tisseur, Françoise 5 Tsigaridas, Elias P. 5 Weng, Peter Chang-Yi 5 Xia, Jianlin 5 Zheng, Ailong 4 Aceto, Lidia 4 Aurentz, Jared Lee 4 Bean, Nigel G. 4 Bläser, Markus 4 Boito, Paola 4 Cameron, Thomas R. 4 Chakravarthy, Srinivas R. 4 Christou, Dimitrios 4 Dehghan Takht Fooladi, Mehdi 4 Fiorentino, Giuseppe 4 Ghiglioni, Eduardo M. 4 Gonzalez-Vega, Laureano ...and 1,070 more Authors
all top 5

### Cited in 207 Serials

 177 Linear Algebra and its Applications 80 Journal of Computational and Applied Mathematics 48 Computers & Mathematics with Applications 43 SIAM Journal on Matrix Analysis and Applications 36 Calcolo 36 Numerical Algorithms 35 Theoretical Computer Science 28 Applied Mathematics and Computation 26 Mathematics of Computation 23 Numerische Mathematik 23 Journal of Symbolic Computation 23 SIAM Journal on Scientific Computing 18 BIT 17 Stochastic Models 16 Linear and Multilinear Algebra 16 Numerical Linear Algebra with Applications 15 Journal of Complexity 10 Information Processing Letters 10 Applied Numerical Mathematics 10 Queueing Systems 7 Journal of Computational Physics 7 Journal of Mathematical Analysis and Applications 7 Computer Aided Geometric Design 7 Journal of Scientific Computing 7 Foundations of Computational Mathematics 6 Applied Mathematics Letters 6 European Journal of Operational Research 6 ELA. The Electronic Journal of Linear Algebra 6 Mathematical Problems in Engineering 6 Probability in the Engineering and Informational Sciences 6 Methodology and Computing in Applied Probability 5 Journal of the Franklin Institute 5 Automatica 5 Computers & Operations Research 5 Mathematical and Computer Modelling 5 International Journal of Computer Mathematics 5 SIAM Journal on Optimization 5 Advances in Applied Clifford Algebras 5 ETNA. Electronic Transactions on Numerical Analysis 5 Special Matrices 4 Advances in Applied Probability 4 International Journal of Control 4 Annals of Operations Research 4 Computational Mathematics and Mathematical Physics 4 SIAM Review 4 Celestial Mechanics and Dynamical Astronomy 4 Computational and Applied Mathematics 3 Computing 3 Journal of Applied Probability 3 Journal of Computer and System Sciences 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Computational Complexity 3 Experimental Mathematics 3 Journal of Mathematical Sciences (New York) 3 Advances in Computational Mathematics 3 Doklady Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 East Asian Journal on Applied Mathematics 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Combinatorial Theory. Series B 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 Differential Geometry and its Applications 2 Stochastic Processes and their Applications 2 Applicable Algebra in Engineering, Communication and Computing 2 Theory of Probability and Mathematical Statistics 2 Finite Fields and their Applications 2 Sbornik: Mathematics 2 Parallel Algorithms and Applications 2 Abstract and Applied Analysis 2 Journal of High Energy Physics 2 The ANZIAM Journal 2 Journal of Applied Mathematics 2 Portugaliae Mathematica. Nova Série 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Advances in Applied Mathematics and Mechanics 2 Journal of the Operations Research Society of China 2 SIAM Journal on Applied Algebra and Geometry 1 American Mathematical Monthly 1 Analysis Mathematica 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Psychometrika 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Bulletin of the London Mathematical Society ...and 107 more Serials
all top 5

### Cited in 51 Fields

 697 Numerical analysis (65-XX) 459 Linear and multilinear algebra; matrix theory (15-XX) 161 Computer science (68-XX) 124 Probability theory and stochastic processes (60-XX) 76 Field theory and polynomials (12-XX) 75 Operator theory (47-XX) 72 Operations research, mathematical programming (90-XX) 59 Real functions (26-XX) 56 Functions of a complex variable (30-XX) 36 Systems theory; control (93-XX) 33 Partial differential equations (35-XX) 32 Information and communication theory, circuits (94-XX) 26 Algebraic geometry (14-XX) 24 Number theory (11-XX) 23 Combinatorics (05-XX) 23 Commutative algebra (13-XX) 20 Approximations and expansions (41-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 15 Statistics (62-XX) 14 Ordinary differential equations (34-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Differential geometry (53-XX) 10 Quantum theory (81-XX) 7 Associative rings and algebras (16-XX) 6 Special functions (33-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)