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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. A.; Bini, D.

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 1,802 times in 1,066 Documents Cited by Year
Numerical methods for structured Markov chains. Zbl 1076.60002
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
102
2005
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
96
1994
Numerical solution of algebraic Riccati equations. Zbl 1244.65058
Bini, Dario A.; Iannazzo, Bruno; Meini, Beatrice
87
2012
Spectral and computational properties of band symmetric Toeplitz matrices. Zbl 0549.15005
Bini, Dario; Capovani, Milvio
80
1983
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
64
2000
\(0(n^{2.7799})\) complexity for \(n\times n\) approximate matrix multiplication. Zbl 0395.68048
Bini, Dario; Capovani, Milvio; Romani, Francesco; Lotti, Grazia
53
1979
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
45
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.
44
2000
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
40
1996
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
38
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.
37
2005
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
35
2013
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
34
2013
Parallel solution of certain Toeplitz linear systems. Zbl 0534.68026
Bini, Dario
34
1984
Computations with infinite Toeplitz matrices and polynomials. Zbl 0999.65025
Bini, D. A.; Gemignani, L.; Meini, B.
32
2002
Relations between exact and approximate bilinear algorithms. Applications. Zbl 0459.65028
Bini, D.
30
1980
Effective methods for solving banded Toeplitz systems. Zbl 0930.65015
Bini, Dario Andrea; Meini, Beatrice
28
1999
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
27
2008
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
26
2005
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
25
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.
24
2008
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
23
2014
Approximate solutions for the bilinear form computational problem. Zbl 0446.68035
Bini, Dario; Lotti, Grazia; Romani, Francesco
23
1980
Polynomial division and its computational complexity. Zbl 0629.68040
Bini, Dario; Pan, Victor
22
1986
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
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
19
2007
Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061
Bini, Dario A.; Noferini, Vanni
18
2013
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
18
2010
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
18
2010
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
17
2006
Solving nonlinear matrix equations arising in tree-like stochastic processes. Zbl 1044.65034
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
17
2003
Tensor rank and border rank of band Toeplitz matrices. Zbl 0615.15014
Bini, D.; Capovani, M.
16
1987
Bernstein-Bézoutian matrices. Zbl 1071.65014
Bini, D. A.; Gemignani, L.
16
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.
16
2016
Approximate displacement rank and applications. Zbl 1004.65054
Bini, Dario Andrea; Meini, Beatrice
15
2001
Numerical methods for linear algebra. (Metodi numerici per l’algebra lineare.) Zbl 0697.65009
Bini, Dario; Capovani, Milvio; Menchi, Ornella
14
1988
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
14
2005
A fast algorithm for approximate polynomial gcd based on structured matrix computations. Zbl 1203.65078
Bini, Dario A.; Boito, Paola
14
2010
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
13
1993
Fast parallel computation of the polynomial remainder sequence via Bézout and Hankel matrices. Zbl 0818.68092
Bini, Dario; Gemignani, Luca
13
1995
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
Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501
Bini, Dario; Pan, Victor
11
1991
Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Zbl 0646.65035
Bini, D.; Pan, V.
11
1988
Stability of fast algorithms for matrix multiplication. Zbl 0431.65024
Bini, Dario; Lotti, Grazia
11
1980
Fast parallel and sequential computations and spectral properties concerning band Toeplitz matrices. Zbl 0542.65017
Bini, D.; Capovani, M.
11
1983
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
11
2002
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
10
2018
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
9
2011
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Zbl 07031734
Bini, Dario Andrea; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
8
2018
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
8
2019
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
Fast solution of a certain Riccati equation through Cauchy-like matrices. Zbl 1189.65075
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
8
2009
On a class of matrix pencils and \(\ell\)-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
8
2016
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
7
2019
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
7
1998
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
7
2014
Inversion of circulant matrices over \(\mathbf{Z}_m\). Zbl 0977.65022
Bini, Dario; Del Corso, Gianna M.; Manzini, Giovanni; Margara, Luciano
7
2001
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
Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks. Zbl 1372.65122
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
6
2017
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
6
2018
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 the generalized eigenvalue problem for rational Toeplitz matrices. Zbl 0724.65037
Bini, Dario; Di Benedetto, Fabio
6
1990
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
6
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
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
Computing curve intersection by means of simultaneous iterations. Zbl 1111.65019
Bini, Dario A.; Marco, Ana
6
2006
On functions of quasi-Toeplitz matrices. Zbl 1388.15006
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
5
2017
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
5
2011
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
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
4
1993
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 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
A combined approach for evaluating papers, authors and scientific journals. Zbl 1201.93005
Bini, Dario A.; Del Corso, Gianna M.; Romani, F.
4
2010
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
4
2020
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
Matrix structures in parallel matrix computations. Zbl 0675.65030
Bini, D.
3
1988
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 commutativity and approximation. Zbl 0548.68036
Bini, Dario
3
1984
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
3
2017
A probabilistic interpretation of cyclic reduction and its relationships with logarithmic reduction. Zbl 1175.65012
Bini, Dario A.; Meini, Beatrice; Ramaswami, Vaidyanathan
3
2008
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
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
3
1993
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
A family of fast fixed point iterations for M/G/1-type Markov chains. Zbl 07524721
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
1
2022
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
4
2020
A computational framework for two-dimensional random walks with restarts. Zbl 1462.65046
Bini, Dario A.; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2
2020
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. Zbl 1434.65324
Bini, Dario A.; Massei, Stefano; Robol, Leonardo
8
2019
On the exponential of semi-infinite quasi-Toeplitz matrices. Zbl 1407.15036
Bini, Dario A.; Meini, Beatrice
7
2019
Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. Zbl 1393.15038
Bini, Dario A.; Massei, Stefano; Meini, Beatrice
10
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
8
2018
Why is Kemeny’s constant a constant? Zbl 1405.60112
Bini, Dario; Hunter, Jeffrey J.; Latouche, Guy; Meini, Beatrice; Taylor, Peter
6
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
Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Zbl 1367.47005
3
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
Generalization of the Brauer theorem to matrix polynomials and matrix Laurent series. Zbl 1365.15019
Bini, D. A.; Meini, B.
2
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.
16
2016
On a class of matrix pencils and \(\ell\)-ifications equivalent to a given matrix polynomial. Zbl 1338.65099
Bini, Dario A.; Robol, Leonardo
8
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
Matrix structures in queuing models. Zbl 1361.60082
Bini, Dario A.
2
2016
Quasiseparable Hessenberg reduction of real diagonal plus low rank matrices and applications. Zbl 1338.65098
Bini, Dario A.; Robol, Leonardo
2
2016
Solving secular and polynomial equations: a multiprecision algorithm. Zbl 1310.65052
Bini, Dario A.; Robol, Leonardo
23
2014
Geometric means of structured matrices. Zbl 1291.15034
Bini, Dario A.; Iannazzo, Bruno; Jeuris, Ben; Vandebril, Raf
7
2014
Computing the Karcher mean of symmetric positive definite matrices. Zbl 1268.15007
Bini, Dario A.; Iannazzo, Bruno
35
2013
Locating the eigenvalues of matrix polynomials. Zbl 1291.15048
Bini, Dario A.; Noferini, Vanni; Sharify, Meisam
34
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
87
2012
A note on computing matrix geometric means. Zbl 1293.65068
Bini, Dario Andrea; Iannazzo, Bruno
9
2011
On the solution of a quadratic vector equation arising in Markovian binary trees. Zbl 1265.65105
Bini, D. A.; Meini, B.; Poloni, F.
5
2011
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties. Zbl 1194.65065
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
45
2010
A fast implicit QR eigenvalue algorithm for companion matrices. Zbl 1188.65039
Bini, D. A.; Boito, P.; Eidelman, Y.; Gemignani, L.; Gohberg, I.
18
2010
Transforming algebraic Riccati equations into unilateral quadratic matrix equations. Zbl 1202.15016
Bini, Dario A.; Meini, Beatrice; Poloni, Federico
18
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
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
1
2010
Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Zbl 1189.65011
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
8
2009
A fast Newton’s method for a nonsymmetric algebraic Riccati equation. Zbl 1166.15300
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico
27
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
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
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
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
19
2007
On the solution of algebraic Riccati equations arising in fluid queues. Zbl 1108.65036
Bini, Dario A.; Iannazzo, Bruno; Latouche, Guy; Meini, Beatrice
17
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
102
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.
37
2005
Algorithms for the matrix \(p\)th root. Zbl 1103.65046
Bini, Dario A.; Higham, Nicholas; Meine, Beatrice
26
2005
The Ehrlich-Aberth method for the nonsymmetric tridiagonal eigenvalue problem. Zbl 1089.65030
Bini, Dario A.; Gemignani, Luca; Tisseur, Françoise
14
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.
16
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
17
2003
Effective fast algorithms for polynomial spectral factorization. Zbl 1035.65047
Bini, D. A.; Fiorentino, G.; Gemignani, L.; Meini, B.
13
2003
Solving certain matrix equations by means of Toeplitz computations: Algorithms and applications. Zbl 1039.65031
Bini, Dario A.; Gemignani, Luca; Meini, Beatrice
6
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
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.
32
2002
Solving matrix polynomial equations arising in queueing problems. Zbl 0994.65047
Bini, Dario A.; Latouche, Guy; Meini, Beatrice
11
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
7
2001
Structured matrices. Recent advances and applications. Zbl 1008.15003
1
2001
Design, analysis, and implementation of a multiprecision polynomial rootfinder. Zbl 1018.65061
Bini, Dario Andrea; Fiorentino, Giuseppe
64
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.
44
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
28
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
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
7
1998
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
7
1998
Improved cyclic reduction for solving queueing problems. Zbl 0887.65144
Bini, Dario Andrea; Meini, Beatrice
25
1997
Numerical computation of polynomial zeros by means of Aberth’s method. Zbl 0869.65034
Bini, Dario Andrea
40
1996
On the solution of a nonlinear matrix equation arising in queueing problems. Zbl 0861.65040
Bini, Dario; Meini, Beatrice
38
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.
96
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
38
1993
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
13
1993
Improved parallel polynomial division. Zbl 0779.68048
Bini, Dario; Pan, Victor
4
1993
Solving certain queueing problems modelled by Toeplitz matrices. Zbl 0813.60094
Bini, D.; Meini, B.
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
...and 27 more Documents
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Cited by 1,158 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 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
4 Hautphenne, Sophie
...and 1,058 more Authors
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Cited in 206 Serials

174 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
22 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
9 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 ELA. The Electronic Journal of Linear Algebra
6 Mathematical Problems in Engineering
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 European Journal of Operational Research
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 Probability in the Engineering and Informational Sciences
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 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 Journal of Optimization Theory and Applications
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 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
1 Canadian Mathematical Bulletin
...and 106 more Serials
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Cited in 51 Fields

697 Numerical analysis (65-XX)
454 Linear and multilinear algebra; matrix theory (15-XX)
160 Computer science (68-XX)
121 Probability theory and stochastic processes (60-XX)
76 Field theory and polynomials (12-XX)
72 Operator theory (47-XX)
71 Operations research, mathematical programming (90-XX)
59 Real functions (26-XX)
55 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)
25 Algebraic geometry (14-XX)
24 Number theory (11-XX)
22 Combinatorics (05-XX)
22 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)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-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 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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