Edit Profile (opens in new tab) Noferini, Vanni Compute Distance To: Compute Author ID: noferini.vanni Published as: Noferini, Vanni; Noferini, V. Documents Indexed: 38 Publications since 2011 Co-Authors: 27 Co-Authors with 35 Joint Publications 803 Co-Co-Authors all top 5 Co-Authors 3 single-authored 8 Higham, Desmond J. 7 Arrigo, Francesca 5 Nakatsukasa, Yuji 3 Grindrod, Peter 3 Tisseur, Françoise 3 Townsend, Alex 2 Bini, Dario Andrea 2 Gemignani, Luca 2 Pérez, Javier J. 2 Poloni, Federico Giovanni 2 Sharify, Meisam 2 Van Dooren, Paul M. 2 Williams, Gerald 1 Arslan, Bahar 1 Barbarino, Giovanni 1 Colomo, Filippo 1 de Terán, Fernando 1 Dopico, Froilán M. 1 Higham, Nicholas J. 1 Lippert, Ross A. 1 Lotz, Martin 1 Mehrmann, Volker 1 Pronko, Andrei G. 1 Robol, Leonardo 1 Vandebril, Raf 1 Wood, Ryan 1 Xu, Hongguo all top 5 Serials 11 Linear Algebra and its Applications 8 SIAM Journal on Matrix Analysis and Applications 2 Mathematics of Computation 2 Journal of Algebra 2 Numerische Mathematik 2 Numerical Algorithms 1 Linear and Multilinear Algebra 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 ELA. The Electronic Journal of Linear Algebra 1 Foundations of Computational Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Random Matrices: Theory and Applications 1 Journal of Complex Networks 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 24 Linear and multilinear algebra; matrix theory (15-XX) 22 Numerical analysis (65-XX) 8 Combinatorics (05-XX) 4 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 258 times in 155 Documents Cited by ▼ Year ▼ Locating the eigenvalues of matrix polynomials. Zbl 1291.15048Bini, Dario A.; Noferini, Vanni; Sharify, Meisam 34 2013 Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. Zbl 1355.65058Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 26 2017 Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061Bini, Dario A.; Noferini, Vanni 19 2013 Tropical roots as approximations to eigenvalues of matrix polynomials. Zbl 1315.65038Noferini, Vanni; Sharify, Meisam; Tisseur, Françoise 16 2015 The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation. Zbl 1250.15014Noferini, Vanni 16 2012 On the stability of computing polynomial roots via confederate linearizations. Zbl 1347.65096Nakatsukasa, Yuji; Noferini, Vanni 15 2016 Fiedler-comrade and Fiedler-Chebyshev pencils. Zbl 1349.15038Noferini, Vanni; Pérez, Javier 14 2016 Computing the common zeros of two bivariate functions via Bézout resultants. Zbl 1308.65076Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 13 2015 A formula for the Fréchet derivative of a generalized matrix function. Zbl 1367.65071Noferini, Vanni 10 2017 Duality of matrix pencils, Wong chains and linearizations. Zbl 1308.15009Noferini, Vanni; Poloni, Federico 10 2015 On the sign characteristics of Hermitian matrix polynomials. Zbl 1352.15027Mehrmann, Volker; Noferini, Vanni; Tisseur, Françoise; Xu, Hongguo 9 2016 The deformed graph Laplacian and its applications to network centrality analysis. Zbl 1381.05043Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 9 2018 Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable? Zbl 1361.65029Noferini, Vanni; Pérez, Javier 9 2017 On the exponential generating function for non-backtracking walks. Zbl 1394.05119Arrigo, Francesca; Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 8 2018 Algebraic arctic curves in the domain-wall six-vertex model. Zbl 1217.82044Colomo, F.; Noferini, V.; Pronko, A. G. 6 2011 The Ehrlich-Aberth method for palindromic matrix polynomials represented in the Dickson basis. Zbl 1269.65034Gemignani, Luca; Noferini, Vanni 6 2013 Numerical instability of resultant methods for multidimensional rootfinding. Zbl 1382.65144Noferini, Vanni; Townsend, Alex 5 2016 Non-backtracking walk centrality for directed networks. Zbl 1460.90040Arrigo, Francesca; Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 4 2018 Non-backtracking alternating walks. Zbl 1422.05061Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 4 2019 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004Dopico, Froilán M.; Noferini, Vanni 4 2020 Wilkinson’s bus: weak condition numbers, with an application to singular polynomial eigenproblems. Zbl 1455.65056Lotz, Martin; Noferini, Vanni 3 2020 Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems. Zbl 1420.15010Nakatsukasa, Yuji; Noferini, Vanni 3 2019 The structured condition number of a differentiable map between matrix manifolds, with applications. Zbl 1429.65094Arslan, Bahar; Noferini, Vanni; Tisseur, Françoise 3 2019 Non-backtracking PageRank. Zbl 1425.65046Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 3 2019 An algorithm to compute the polar decomposition of a \(3 \times 3\) matrix. Zbl 1353.65020Higham, Nicholas J.; Noferini, Vanni 3 2016 Modifications of Newton’s method for even-grade palindromic polynomials and other twined polynomials. Zbl 1263.65045Gemignani, Luca; Noferini, Vanni 3 2012 Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds. Zbl 1490.16066Noferini, Vanni; Williams, Gerald 1 2021 Beyond non-backtracking: non-cycling network centrality measures. Zbl 1472.05081Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 1 2020 Root vectors of polynomial and rational matrices: theory and computation. Zbl 07613307Noferini, Vanni; Van Dooren, Paul 1 2023 Root vectors of polynomial and rational matrices: theory and computation. Zbl 07613307Noferini, Vanni; Van Dooren, Paul 1 2023 Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds. Zbl 1490.16066Noferini, Vanni; Williams, Gerald 1 2021 Root polynomials and their role in the theory of matrix polynomials. Zbl 1439.15004Dopico, Froilán M.; Noferini, Vanni 4 2020 Wilkinson’s bus: weak condition numbers, with an application to singular polynomial eigenproblems. Zbl 1455.65056Lotz, Martin; Noferini, Vanni 3 2020 Beyond non-backtracking: non-cycling network centrality measures. Zbl 1472.05081Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 1 2020 Non-backtracking alternating walks. Zbl 1422.05061Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 4 2019 Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems. Zbl 1420.15010Nakatsukasa, Yuji; Noferini, Vanni 3 2019 The structured condition number of a differentiable map between matrix manifolds, with applications. Zbl 1429.65094Arslan, Bahar; Noferini, Vanni; Tisseur, Françoise 3 2019 Non-backtracking PageRank. Zbl 1425.65046Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni 3 2019 The deformed graph Laplacian and its applications to network centrality analysis. Zbl 1381.05043Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 9 2018 On the exponential generating function for non-backtracking walks. Zbl 1394.05119Arrigo, Francesca; Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 8 2018 Non-backtracking walk centrality for directed networks. Zbl 1460.90040Arrigo, Francesca; Grindrod, Peter; Higham, Desmond J.; Noferini, Vanni 4 2018 Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. Zbl 1355.65058Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 26 2017 A formula for the Fréchet derivative of a generalized matrix function. Zbl 1367.65071Noferini, Vanni 10 2017 Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable? Zbl 1361.65029Noferini, Vanni; Pérez, Javier 9 2017 On the stability of computing polynomial roots via confederate linearizations. Zbl 1347.65096Nakatsukasa, Yuji; Noferini, Vanni 15 2016 Fiedler-comrade and Fiedler-Chebyshev pencils. Zbl 1349.15038Noferini, Vanni; Pérez, Javier 14 2016 On the sign characteristics of Hermitian matrix polynomials. Zbl 1352.15027Mehrmann, Volker; Noferini, Vanni; Tisseur, Françoise; Xu, Hongguo 9 2016 Numerical instability of resultant methods for multidimensional rootfinding. Zbl 1382.65144Noferini, Vanni; Townsend, Alex 5 2016 An algorithm to compute the polar decomposition of a \(3 \times 3\) matrix. Zbl 1353.65020Higham, Nicholas J.; Noferini, Vanni 3 2016 Tropical roots as approximations to eigenvalues of matrix polynomials. Zbl 1315.65038Noferini, Vanni; Sharify, Meisam; Tisseur, Françoise 16 2015 Computing the common zeros of two bivariate functions via Bézout resultants. Zbl 1308.65076Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 13 2015 Duality of matrix pencils, Wong chains and linearizations. Zbl 1308.15009Noferini, Vanni; Poloni, Federico 10 2015 Locating the eigenvalues of matrix polynomials. Zbl 1291.15048Bini, Dario A.; Noferini, Vanni; Sharify, Meisam 34 2013 Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method. Zbl 1281.65061Bini, Dario A.; Noferini, Vanni 19 2013 The Ehrlich-Aberth method for palindromic matrix polynomials represented in the Dickson basis. Zbl 1269.65034Gemignani, Luca; Noferini, Vanni 6 2013 The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation. Zbl 1250.15014Noferini, Vanni 16 2012 Modifications of Newton’s method for even-grade palindromic polynomials and other twined polynomials. Zbl 1263.65045Gemignani, Luca; Noferini, Vanni 3 2012 Algebraic arctic curves in the domain-wall six-vertex model. Zbl 1217.82044Colomo, F.; Noferini, V.; Pronko, A. G. 6 2011 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 28 Noferini, Vanni 15 Dopico, Froilán M. 15 Melman, Aaron 11 Pérez, Javier J. 9 Nakatsukasa, Yuji 8 Tisseur, Françoise 7 Arrigo, Francesca 7 de Terán, Fernando 7 Mackey, D. Steven 7 Van Dooren, Paul M. 6 Higham, Desmond J. 6 Robol, Leonardo 5 Van Barel, Marc 4 Gemignani, Luca 4 Lawrence, Piers W. 3 Bini, Dario Andrea 3 Corless, Robert Malcolm 3 Furtado, Susana 3 Hernando, Carla 3 Mehrmann, Volker 3 Perović, Vasilije 3 Townsend, Alex 3 Tudisco, Francesco 3 Vandebril, Raf 2 Akian, Marianne 2 Ali, Istkhar 2 Anguas, Luis Miguel 2 Arslan, Bahar 2 Aurentz, Jared Lee 2 Benzi, Michele 2 Bora, Shreemayee 2 Bueno, María Isabel 2 Cameron, Thomas R. 2 Casulli, Angelo A. 2 Cucker, Felipe 2 Di Francesco, Philippe 2 Durastante, Fabio 2 Gaubert, Stéphane 2 Grindrod, Peter 2 Hochstenbach, Michiel E. 2 Hollister, Richard 2 Iwata, Satoru 2 Komatsu, Takashi 2 Konno, Norio 2 Marcaida, Silvia 2 Mehl, Christian 2 Plestenjak, Bor 2 Poloni, Federico Giovanni 2 Sato, Iwao 2 Sharify, Meisam 2 Takeda, Akiko 2 Telen, Simon 2 Williams, Gerald 2 Zaballa, Ion 1 Akshar, Anthony 1 Al-Mohy, Awad H. 1 Al-Saket, Amal 1 Alexandersson, Per 1 Amparan, A. 1 Aruliah, D. A. 1 Askham, Travis 1 Assadi, Amir H. 1 Austin, Anthony P. 1 Baksalary, Oskar Maria 1 Bapat, Ravindra Bhalchandra 1 Barbarino, Giovanni 1 Bindel, David S. 1 Boito, Paola 1 Boralevi, Ada 1 Borobia, Alberto 1 Bridges, Thomas J. 1 Brugiapaglia, Simone 1 Budzynski, Louise 1 Bueno Cachadina, Maria Isabel 1 Bürgisser, Peter 1 Calo, Victor Manuel 1 Canogar, Roberto 1 Cao, Yueqi 1 Cao, Zongqi 1 Chan, Eunice Y. S. 1 Chan, Kevin Sean 1 Chang, Chin-Chen 1 Chen, Hongjia 1 Cheng, Huan-Chang 1 Christensen, Daniel 1 Cipolla, Stefano 1 Colomo, Filippo 1 Coste, Simon 1 Cugliandolo, Leticia F. 1 Das, Biswajit 1 Degond, Pierre 1 Díaz-Toca, Gema María 1 Ding, Chao 1 Draisma, Jan 1 Dubail, Jérôme 1 Eidelman, Yuli 1 Eisenmann, Henrik 1 Eliassi-Rad, Tina 1 Epperly, Ethan N. 1 Erekson, Lukas ...and 114 more Authors all top 5 Cited in 56 Serials 39 Linear Algebra and its Applications 21 SIAM Journal on Matrix Analysis and Applications 7 Mathematics of Computation 7 ELA. The Electronic Journal of Linear Algebra 5 Linear and Multilinear Algebra 4 Numerische Mathematik 4 Numerical Algorithms 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Optimization 3 Foundations of Computational Mathematics 2 Journal of Statistical Physics 2 Calcolo 2 Journal of Algebra 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Advances in Applied Clifford Algebras 2 ETNA. Electronic Transactions on Numerical Analysis 2 The Electronic Journal of Combinatorics 2 Random Matrices: Theory and Applications 2 Special Matrices 2 SIAM Journal on Mathematics of Data Science 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Mathematics Magazine 1 Applied Mathematics and Computation 1 BIT 1 Proceedings of the American Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Journal of Scientific Computing 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Review 1 Journal of Nonlinear Science 1 Advances in Computational Mathematics 1 Applied Mathematical Finance 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Industrial and Management Optimization 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Advances and Applications in Discrete Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya all top 5 Cited in 38 Fields 99 Linear and multilinear algebra; matrix theory (15-XX) 94 Numerical analysis (65-XX) 23 Combinatorics (05-XX) 16 Functions of a complex variable (30-XX) 15 Operator theory (47-XX) 12 Field theory and polynomials (12-XX) 10 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Probability theory and stochastic processes (60-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year