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Bini, Dario Andrea

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Author ID: bini.dario-andrea Recent zbMATH articles by "Bini, Dario Andrea"
Published as: Bini, Dario A.; Bini, Dario; Bini, Dario Andrea; Bini, D.; Bini, D. A.
Documents Indexed: 142 Publications since 1977, including 13 Books

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 1,673 times in 976 Documents Cited by Year
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
94
1994
Numerical methods for structured Markov chains. Zbl 1076.60002
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
92
2005
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
75
2012
Spectral and computational properties of band symmetric Toeplitz matrices. Zbl 0549.15005
Bini, Dario; Capovani, Milvio
74
1983
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
60
2000
\(0(n^{2.7799})\) complexity for \(n\times n\) approximate matrix multiplication. Zbl 0395.68048
Bini, Dario; Capovani, Milvio; Romani, Francesco; Lotti, Grazia
46
1979
Global existence and relaxation limit for smooth solutions to the Euler-Poisson model for semiconductors. Zbl 0984.35104
Alì, G.; Bini, D.; Rionero, S.
42
2000
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
39
2010
On the solution of a nonlinear matrix equation arising in queueing problems. Zbl 0861.65040
Bini, Dario; Meini, Beatrice
38
1996
On a matrix algebra related to the discrete Hartley transform. Zbl 0773.65029
Bini, Dario; Favati, Paola
37
1993
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
35
2005
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
35
1996
Parallel solution of certain Toeplitz linear systems. Zbl 0534.68026
Bini, Dario
34
1984
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
33
2013
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
30
2013
Computations with infinite Toeplitz matrices and polynomials. Zbl 0999.65025
Bini, D. A.; Gemignani, L.; Meini, B.
29
2002
Effective methods for solving banded Toeplitz systems. Zbl 0930.65015
Bini, Dario Andrea; Meini, Beatrice
27
1999
On cyclic reduction applied to a class of Toeplitz-like matrices arising in queueing problems. Zbl 0862.60085
Bini, Dario; Meini, Beatrice
26
1995
Algorithms for the matrix \(p\)th root. Zbl 1103.65046
Bini, Dario A.; Higham, Nicholas; Meine, Beatrice
25
2005
Relations between exact and approximate bilinear algorithms. Applications. Zbl 0459.65028
Bini, D.
25
1980
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
25
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.
24
2008
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
24
1997
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
22
2004
Polynomial division and its computational complexity. Zbl 0629.68040
Bini, Dario; Pan, Victor
22
1986
Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046
Bini, D. A.; Gemignani, L.; Pan, V. Y.
21
2004
Approximate solutions for the bilinear form computational problem. Zbl 0446.68035
Bini, Dario; Lotti, Grazia; Romani, Francesco
20
1980
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
19
2009
Structured matrix-based methods for polynomial \(\varepsilon\)-gcd: analysis and comparisons. Zbl 1190.65060
Bini, Dario A.; Boito, Paola
18
2007
Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061
Bini, Dario A.; Noferini, Vanni
18
2013
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
18
2014
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
18
2010
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
17
2010
Tensor rank and border rank of band Toeplitz matrices. Zbl 0615.15014
Bini, D.; Capovani, M.
16
1987
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
15
2006
Approximate displacement rank and applications. Zbl 1004.65054
Bini, Dario Andrea; Meini, Beatrice
15
2001
Bernstein-Bézoutian matrices. Zbl 1071.65014
Bini, D. A.; Gemignani, L.
15
2004
Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
15
2003
A fast algorithm for approximate polynomial gcd based on structured matrix computations. Zbl 1203.65078
Bini, Dario A.; Boito, Paola
14
2010
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.
14
2016
Fast parallel computation of the polynomial remainder sequence via Bézout and Hankel matrices. Zbl 0818.68092
Bini, Dario; Gemignani, Luca
13
1995
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
13
1993
Numerical methods for linear algebra. (Metodi numerici per l’algebra lineare.) Zbl 0697.65009
Bini, Dario; Capovani, Milvio; Menchi, Ornella
13
1988
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
13
2004
Effective fast algorithms for polynomial spectral factorization. Zbl 1035.65047
Bini, D. A.; Fiorentino, G.; Gemignani, L.; Meini, B.
13
2003
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
11
2005
Fast parallel and sequential computations and spectral properties concerning band Toeplitz matrices. Zbl 0542.65017
Bini, D.; Capovani, M.
11
1983
Stability of fast algorithms for matrix multiplication. Zbl 0431.65024
Bini, Dario; Lotti, Grazia
11
1980
Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501
Bini, Dario; Pan, Victor
11
1991
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
10
2002
Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Zbl 0646.65035
Bini, D.; Pan, V.
10
1988
Factorization of analytic functions by means of Koenig’s theorem and Toeplitz computations. Zbl 0990.65036
Bini, Dario Andrea; Gemignani, Luca; Meini, Beatrice
8
2001
Fast fraction-free triangularization of Bézoutians with applications to sub-resultant chain computation. Zbl 0937.65031
Bini, Dario Andrea; Gemignani, Luca
8
1998
On the decay of the off-diagonal singular values in cyclic reduction. Zbl 1360.65118
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
8
2017
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
7
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.
7
2005
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
7
1998
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
7
2018
Fast solution of a certain Riccati equation through Cauchy-like matrices. Zbl 1189.65075
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
7
2009
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
7
2011
On a class of matrix pencils and \(\ell\)-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
7
2016
The unitary completion and QR iterations for a class of structured matrices. Zbl 1141.65025
Bini, D. A.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
6
2008
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
6
2014
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. Zbl 1372.65122
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
6
2017
Computing curve intersection by means of simultaneous iterations. Zbl 1111.65019
Bini, Dario A.; Marco, Ana
6
2006
Inversion of circulant matrices over \(\mathbf{Z}_m\). Zbl 0977.65022
Bini, Dario; Del Corso, Gianna M.; Manzini, Giovanni; Margara, Luciano
6
2001
Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053
Bini, D.; Pan, V.
6
1992
Graeffe’s, Chebyshev-like, and Cardinal’s processes for splitting a polynomial into factors. Zbl 0862.68055
Bini, Dario; Pan, Victor Y.
6
1996
Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059
Bini, D. A.; Codevico, G.; Van Barel, M.
6
2003
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
6
1998
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Zbl 07031734
Bini, Dario Andrea; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
6
2018
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
6
2008
Solving certain matrix equations by means of Toeplitz computations: Algorithms and applications. Zbl 1039.65031
Bini, Dario A.; Gemignani, Luca; Meini, Beatrice
5
2003
Solving the generalized eigenvalue problem for rational Toeplitz matrices. Zbl 0724.65037
Bini, Dario; Di Benedetto, Fabio
5
1990
On functions of quasi-Toeplitz matrices. Zbl 1388.15006
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
5
2017
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
5
2019
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
5
2018
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
4
1993
Improved parallel computations with matrices and polynomials. Zbl 0772.68060
Bini, Dario; Gemignani, Luca; Pan, Victor
4
1991
Improved parallel polynomial division. Zbl 0779.68048
Bini, Dario; Pan, Victor
4
1993
Iteration schemes for the divide-and-conquer eigenvalue solver. Zbl 0809.65032
Bini, Dario; Gemignani, Luca
4
1994
A family of modified regularizing circulant preconditioners for two-levels Toeplitz systems. Zbl 1067.65029
Bini, D. A.; Favati, P.; Menchi, O.
4
2004
Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052
Bini, Dario A.; Böttcher, Albrecht
4
2003
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
4
2011
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
4
2010
A combined approach for evaluating papers, authors and scientific journals. Zbl 1201.93005
Bini, Dario A.; Del Corso, Gianna M.; Romani, F.
4
2010
On commutativity and approximation. Zbl 0548.68036
Bini, Dario
3
1984
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.
3
2005
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.
3
1980
On the complexity of polynomial zeros. Zbl 0756.65071
Bini, Dario; Gemignani, Luca
3
1992
A logarithmic Boolean time algorithm for parallel polynomial division. Zbl 0595.68042
Bini, D.; Pan, V.
3
1986
Border rank of m\(\times n\times (mn-q)\) tensors. Zbl 0598.15026
Bini, Dario
3
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
3
1985
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
3
1993
Matrix structures in parallel matrix computations. Zbl 0675.65030
Bini, D.
3
1988
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
3
2019
A probabilistic interpretation of cyclic reduction and its relationships with logarithmic reduction. Zbl 1175.65012
Bini, Dario A.; Meini, Beatrice; Ramaswami, Vaidyanathan
3
2008
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
3
2020
Generalization of the Brauer theorem to matrix polynomials and matrix Laurent series. Zbl 1365.15019
Bini, D. A.; Meini, B.
2
2017
Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. Zbl 1372.65023
Bini, D. A.; Latouche, G.; Meini, B.
2
2017
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
3
2020
A computational framework for two-dimensional random walks with restarts. Zbl 1462.65046
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
1
2020
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
5
2019
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
3
2019
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
7
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
6
2018
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
5
2018
On the decay of the off-diagonal singular values in cyclic reduction. Zbl 1360.65118
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
8
2017
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. Zbl 1372.65122
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
6
2017
On functions of quasi-Toeplitz matrices. Zbl 1388.15006
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
5
2017
Generalization of the Brauer theorem to matrix polynomials and matrix Laurent series. Zbl 1365.15019
Bini, D. A.; Meini, B.
2
2017
Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. Zbl 1372.65023
Bini, D. A.; Latouche, G.; Meini, B.
2
2017
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
Bini, Dario A.; Ehrhardt, Torsten; Karlovich, Alexei Yu; Spitkovsky, Ilya
1
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.
14
2016
On a class of matrix pencils and \(\ell\)-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
7
2016
General solution of the Poisson equation for quasi-birth-and-death processes. Zbl 1352.65124
Bini, Dario; Dendievel, Sarah; Latouche, Guy; Meini, Beatrice
2
2016
Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications. Zbl 1338.65098
Bini, Dario A.; Robol, Leonardo
2
2016
Matrix structures in queuing models. Zbl 1361.60082
Bini, Dario A.
1
2016
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
18
2014
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
6
2014
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
33
2013
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
30
2013
Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061
Bini, Dario A.; Noferini, Vanni
18
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
2
2013
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
75
2012
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
7
2011
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
4
2011
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
39
2010
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
18
2010
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
17
2010
A fast algorithm for approximate polynomial gcd based on structured matrix computations. Zbl 1203.65078
Bini, Dario A.; Boito, Paola
14
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
4
2010
A combined approach for evaluating papers, authors and scientific journals. Zbl 1201.93005
Bini, Dario A.; Del Corso, Gianna M.; Romani, F.
4
2010
Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011
Bini, Dario Andrea; Mehrmann, Volker; Olshevsky, Vadim; Tyrtyshnikov, Eugene E.; van Barel, Marc
1
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
Berry, Michael W.; Bini, Dario A.; Mastronardi, Nicola; Serra-Capizzano, Stefano
1
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
19
2009
Fast solution of a certain Riccati equation through Cauchy-like matrices. Zbl 1189.65075
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
7
2009
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
25
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.
24
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.
6
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
6
2008
A probabilistic interpretation of cyclic reduction and its relationships with logarithmic reduction. Zbl 1175.65012
Bini, Dario A.; Meini, Beatrice; Ramaswami, Vaidyanathan
3
2008
On certain (block) Toeplitz matrices related to radial functions. Zbl 1132.65035
Bini, Dario A.; De Rossi, Alessandra; Gabutti, Bruno
1
2008
Structured matrix-based methods for polynomial \(\varepsilon\)-gcd: analysis and comparisons. Zbl 1190.65060
Bini, Dario A.; Boito, Paola
18
2007
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
15
2006
Computing curve intersection by means of simultaneous iterations. Zbl 1111.65019
Bini, Dario A.; Marco, Ana
6
2006
Numerical methods for structured Markov chains. Zbl 1076.60002
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
92
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.
35
2005
Algorithms for the matrix \(p\)th root. Zbl 1103.65046
Bini, Dario A.; Higham, Nicholas; Meine, Beatrice
25
2005
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
11
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
7
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.
7
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.
3
2005
On the shifted QR iteration applied to companion matrices. Zbl 1066.65039
Bini, Dario A.; Daddi, Francesco; Gemignani, Luca
22
2004
Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046
Bini, D. A.; Gemignani, L.; Pan, V. Y.
21
2004
Bernstein-Bézoutian matrices. Zbl 1071.65014
Bini, D. A.; Gemignani, L.
15
2004
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
13
2004
A family of modified regularizing circulant preconditioners for two-levels Toeplitz systems. Zbl 1067.65029
Bini, D. A.; Favati, P.; Menchi, O.
4
2004
Non-skip-free M/G/1-type Markov chains and Laurent matrix power series. Zbl 1055.65013
Bini, Dario A.; Meini, Beatrice
2
2004
Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
15
2003
Effective fast algorithms for polynomial spectral factorization. Zbl 1035.65047
Bini, D. A.; Fiorentino, G.; Gemignani, L.; Meini, B.
13
2003
Solving Toeplitz least squares problems by means of Newton’s iteration. Zbl 1031.65059
Bini, D. A.; Codevico, G.; Van Barel, M.
6
2003
Solving certain matrix equations by means of Toeplitz computations: Algorithms and applications. Zbl 1039.65031
Bini, Dario A.; Gemignani, Luca; Meini, Beatrice
5
2003
Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052
Bini, Dario A.; Böttcher, Albrecht
4
2003
Computations with infinite Toeplitz matrices and polynomials. Zbl 0999.65025
Bini, D. A.; Gemignani, L.; Meini, B.
29
2002
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
10
2002
Approximate displacement rank and applications. Zbl 1004.65054
Bini, Dario Andrea; Meini, Beatrice
15
2001
Factorization of analytic functions by means of Koenig’s theorem and Toeplitz computations. Zbl 0990.65036
Bini, Dario Andrea; Gemignani, Luca; Meini, Beatrice
8
2001
Inversion of circulant matrices over \(\mathbf{Z}_m\). Zbl 0977.65022
Bini, Dario; Del Corso, Gianna M.; Manzini, Giovanni; Margara, Luciano
6
2001
Structured matrices. Recent advances and applications. Zbl 1008.15003
Bini, Dario Andrea; Tyrtyshnikov, Eugene; Yalamov, Plamen
1
2001
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
60
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.
42
2000
Solving block banded block Toeplitz systems with structured blocks: New algorithms and open problems. Zbl 0966.65028
Bini, Dario Andrea; Meini, Beatrice
2
2000
Using FFT-based techniques in polynomial and matrix computations: Recent advances and applications. Zbl 0953.65101
Bini, Dario Andrea
1
2000
Effective methods for solving banded Toeplitz systems. Zbl 0930.65015
Bini, Dario Andrea; Meini, Beatrice
27
1999
On the parallel evaluation of a sparse polynomial at a point. Zbl 0936.65017
Bini, Dario Andrea; Fiorentino, Giuseppe
2
1999
Fast fraction-free triangularization of Bézoutians with applications to sub-resultant chain computation. Zbl 0937.65031
Bini, Dario Andrea; Gemignani, Luca
8
1998
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
7
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
6
1998
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
24
1997
On the solution of a nonlinear matrix equation arising in queueing problems. Zbl 0861.65040
Bini, Dario; Meini, Beatrice
38
1996
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
35
1996
Graeffe’s, Chebyshev-like, and Cardinal’s processes for splitting a polynomial into factors. Zbl 0862.68055
Bini, Dario; Pan, Victor Y.
6
1996
Erratum: Fast parallel computation of the polynomial remainder sequence via Bezout and Hankel matrices. Zbl 0876.68054
Bini, Dario; Gemignani, Luca
2
1996
Divide and conquer techniques for the polynomial root-finding problem. Zbl 0843.65031
Bini, Dario
1
1996
Exploiting the Toeplitz structure in certain queueing problems. Zbl 0904.65148
Bini, Dario Andrea; Meini, Beatrice
1
1996
On cyclic reduction applied to a class of Toeplitz-like matrices arising in queueing problems. Zbl 0862.60085
Bini, Dario; Meini, Beatrice
26
1995
Fast parallel computation of the polynomial remainder sequence via Bézout and Hankel matrices. Zbl 0818.68092
Bini, Dario; Gemignani, Luca
13
1995
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
94
1994
Iteration schemes for the divide-and-conquer eigenvalue solver. Zbl 0809.65032
Bini, Dario; Gemignani, Luca
4
1994
On a matrix algebra related to the discrete Hartley transform. Zbl 0773.65029
Bini, Dario; Favati, Paola
37
1993
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
13
1993
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
4
1993
Improved parallel polynomial division. Zbl 0779.68048
Bini, Dario; Pan, Victor
4
1993
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
3
1993
Fast discrete transforms by means of eigenpolynomials. Zbl 0791.65109
Bini, D.; Bozzo, E.
1
1993
Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053
Bini, D.; Pan, V.
6
1992
On the complexity of polynomial zeros. Zbl 0756.65071
Bini, Dario; Gemignani, Luca
3
1992
Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501
Bini, Dario; Pan, Victor
11
1991
Improved parallel computations with matrices and polynomials. Zbl 0772.68060
Bini, Dario; Gemignani, Luca; Pan, Victor
4
1991
...and 26 more Documents
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Cited by 1,042 Authors

71 Pan, Victor Yakovlevich
57 Bini, Dario Andrea
41 Serra-Capizzano, Stefano
34 Gemignani, Luca
27 Meini, Beatrice
21 Robol, Leonardo
21 Van Barel, Marc
19 Lim, Yongdo
18 Vandebril, Raf
16 Latouche, Guy
16 Melman, Aaron
13 Del Corso, Gianna M.
12 Bevilacqua, Roberto
12 Donatelli, Marco
12 Massei, Stefano
12 Winkler, Joab R.
11 Dopico, Froilán M.
10 Di Fiore, Carmine
10 Guo, Chun-Hua
10 Iannazzo, Bruno
10 Zellini, Paolo
9 Noferini, Vanni
9 Van Houdt, Benny
8 Eidelman, Yuli
8 Garoni, Carlo
8 Lee, Hosoo
8 Mastronardi, Nicola
8 Mourrain, Bernard
8 Ng, Michael Kwok-Po
8 Sagraloff, Michael
7 Belhaj, Skander
7 Dong, Ning
7 Gohberg, Israel
7 Kim, Hyun-Min
7 Malyshev, Alexander N.
7 Pálfia, Miklós
7 Petković, Miodrag S.
7 Poloni, Federico G.
7 Tyrtyshnikov, Evgeniĭ Evgen’evich
7 Van Dooren, Paul M.
6 Chiang, Chun-Yueh
6 Di Benedetto, Fabio
6 Guo, Pei-Chang
6 Heinig, Georg
6 Kim, Sejong
6 King-wah Chu, Eric
6 Li, Rencang
6 Pérez, Javier J.
6 Rost, Karla
5 Benner, Peter
5 Bozzo, Enrico
5 Chèze, Guillaume
5 Christandl, Matthias
5 Corless, Robert Malcolm
5 de Terán, Fernando
5 Delvaux, Steven
5 Dendievel, Sarah
5 Díaz-Toca, Gema María
5 Ekstrom, Sven-Erik
5 Fan, Hung-Yuan
5 Favati, Paola
5 Huang, Ting-Zhu
5 Kressner, Daniel
5 Lawson, Jimmie Don
5 Lotti, Grazia
5 Mach, Thomas
5 Mitrouli, Marilena
5 Miyajima, Shinya
5 Novati, Paolo
5 Olshevsky, Vadim
5 Reichel, Lothar
5 Rosholt, Rhys Eric
5 Sadkane, Miloud
5 Simoncini, Valeria
5 Taylor, Peter Gerrard
5 Tisseur, Françoise
5 Tsigaridas, Elias P.
5 Wu, Shulin
5 Zheng, Ailong
4 Absil, Pierre-Antoine
4 Aceto, Lidia
4 Aurentz, Jared Lee
4 Bean, Nigel G.
4 Boito, Paola
4 Chakravarthy, Srinivas R.
4 Christou, Dimitrios
4 Fiorentino, Giuseppe
4 Gonzalez-Vega, Laureano
4 Hautphenne, Sophie
4 Jacobsen, Jesper Lykke
4 Kürschner, Patrick
4 Landsberg, Joseph Montague
4 Ma, Changfeng
4 Meng, Jie
4 Murphy, Brian J.
4 Nakatsukasa, Yuji
4 Noutsos, Dimitrios
4 O’Reilly, Małgorzata M.
4 Qian, Guoliang
4 Romani, Francesco
...and 942 more Authors
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Cited in 182 Serials

164 Linear Algebra and its Applications
76 Journal of Computational and Applied Mathematics
48 Computers & Mathematics with Applications
37 SIAM Journal on Matrix Analysis and Applications
36 Calcolo
35 Theoretical Computer Science
35 Numerical Algorithms
26 Mathematics of Computation
26 Applied Mathematics and Computation
23 Numerische Mathematik
22 Journal of Symbolic Computation
20 SIAM Journal on Scientific Computing
17 Stochastic Models
16 Linear and Multilinear Algebra
16 Numerical Linear Algebra with Applications
15 BIT
13 Journal of Complexity
9 Information Processing Letters
9 Applied Numerical Mathematics
7 Journal of Mathematical Analysis and Applications
7 Computer Aided Geometric Design
7 Queueing Systems
7 Foundations of Computational Mathematics
6 Journal of Computational Physics
6 Mathematical Problems in Engineering
5 Automatica
5 Computers & Operations Research
5 Applied Mathematics Letters
5 Mathematical and Computer Modelling
5 European Journal of Operational Research
5 Advances in Applied Clifford Algebras
5 ELA. The Electronic Journal of Linear Algebra
5 Special Matrices
4 International Journal of Control
4 Journal of Scientific Computing
4 Annals of Operations Research
4 Computational Mathematics and Mathematical Physics
4 SIAM Review
4 Celestial Mechanics and Dynamical Astronomy
4 SIAM Journal on Optimization
4 Computational and Applied Mathematics
4 Probability in the Engineering and Informational Sciences
4 Methodology and Computing in Applied Probability
3 Advances in Applied Probability
3 Journal of the Franklin Institute
3 Computing
3 Journal of Applied Probability
3 Journal of Computer and System Sciences
3 SIAM Journal on Numerical Analysis
3 International Journal of Computer Mathematics
3 Experimental Mathematics
3 Journal of Mathematical Sciences (New York)
3 ETNA. Electronic Transactions on Numerical Analysis
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 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 Journal of Optimization Theory and Applications
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Japan Journal of Industrial and Applied Mathematics
2 Applicable Algebra in Engineering, Communication and Computing
2 Computational Complexity
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 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 Communications in Algebra
1 Discrete Mathematics
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
1 Canadian Mathematical Bulletin
1 Integral Equations and Operator Theory
1 Journal of Algebra
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Journal of Soviet Mathematics
1 Kybernetika
1 Mathematics and Computers in Simulation
...and 82 more Serials
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Cited in 51 Fields

649 Numerical analysis (65-XX)
416 Linear and multilinear algebra; matrix theory (15-XX)
142 Computer science (68-XX)
109 Probability theory and stochastic processes (60-XX)
74 Field theory and polynomials (12-XX)
67 Operations research, mathematical programming (90-XX)
65 Operator theory (47-XX)
54 Real functions (26-XX)
52 Functions of a complex variable (30-XX)
32 Systems theory; control (93-XX)
29 Partial differential equations (35-XX)
27 Information and communication theory, circuits (94-XX)
23 Number theory (11-XX)
21 Commutative algebra (13-XX)
19 Combinatorics (05-XX)
19 Algebraic geometry (14-XX)
17 Approximations and expansions (41-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
14 Ordinary differential equations (34-XX)
12 Statistics (62-XX)
9 Differential geometry (53-XX)
9 Quantum theory (81-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Associative rings and algebras (16-XX)
6 Integral equations (45-XX)
6 Mechanics of particles and systems (70-XX)
5 Mathematical logic and foundations (03-XX)
5 Special functions (33-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Functional analysis (46-XX)
4 Mechanics of deformable solids (74-XX)
4 Biology and other natural sciences (92-XX)
3 Group theory and generalizations (20-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Topological groups, Lie groups (22-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-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 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-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)

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