Research output

Research output per year 2011 2013 2015 2016 2017 2018 2019 2020 2021 2022 2023

• 41 Article

Research output per year

Research output per year

Search results

• 2023

  On computing root polynomials and minimal bases of matrix pencils

  Noferini, V. & Van Dooren, P., 1 Feb 2023, In: Linear Algebra and Its Applications. 658, p. 86-115 30 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Polynomial Roots 100%
  • Matrix Pencil 91%
  • Computing 46%
  • Polynomial Matrices 42%
  • Triangular 33%
  22 Downloads (Pure)

• Root vectors of polynomial and rational matrices: Theory and computation

  Noferini, V. & Van Dooren, P., 1 Jan 2023, In: Linear Algebra and Its Applications. 656, p. 510-540 31 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Matrix Computation 100%
  • Matrix Theory 83%
  • Polynomial Matrices 82%
  • Roots 54%
  • Pole 51%
  1 Citation (Scopus)

  19 Downloads (Pure)
• 2022

  Cyclically presented groups as Labelled Oriented Graph groups

  Noferini, V. & Williams, G., 1 Sep 2022, In: JOURNAL OF ALGEBRA. 605, p. 179-198 20 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Oriented Graph 100%
  • Free Group 11%
  • Circulant Matrix 6%
  • Cyclotomic 6%
  • Polynomial 6%
  5 Downloads (Pure)

• Dynamic Katz and related network measures

  Arrigo, F., Higham, D. J., Noferini, V. & Wood, R., 15 Dec 2022, In: Linear Algebra and Its Applications. 655, p. 159-185 27 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Centrality 100%
  • Walk 78%
  • Backtracking 33%
  • Resolvent 24%
  • Combinatorics 24%
  10 Downloads (Pure)

• Role extraction for digraphs via neighborhood pattern similarity

  Barbarino, G., Noferini, V. & Van Dooren, P., Nov 2022, In: Physical Review E. 106, 5, p. 1-11 11 p., 054301.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Digraph 100%
  • Similarity 91%
  • recovery 87%
  • Binomial Distribution 83%
  • Recovery 69%
  14 Downloads (Pure)

• The Limit Empirical Spectral Distribution of Gaussian Monic Complex Matrix Polynomials

  Barbarino, G. & Noferini, V., 16 Feb 2022, (E-pub ahead of print) In: JOURNAL OF THEORETICAL PROBABILITY.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Monic 100%
  • Spectral Distribution 99%
  • Complex Polynomials 93%
  • Matrix Polynomial 91%
  • Empirical Distribution 91%
  1 Citation (Scopus)
• 2021

  A theory for backtrack-downweighted walks

  ARRIGO, FRANCESCA., HIGHAM, DESMOND. J. & NOFERINI, VANNI., 2021, In: SIAM Journal on Matrix Analysis and Applications. 42, 3, p. 1229-1247 19 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Centrality 100%
  • Walk 78%
  • Backtracking 19%
  • Radius of convergence 19%
  • Standards 17%
  1 Citation (Scopus)

  41 Downloads (Pure)

• Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds

  Noferini, V. & Williams, G., 1 Dec 2021, In: JOURNAL OF ALGEBRA. 587, p. 1-19 19 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Homology 100%
  • Circulant Matrix 80%
  • Ring 72%
  • Form 46%
  • Divisor 39%
  1 Citation (Scopus)

  46 Downloads (Pure)

• Nearest Ω -stable matrix via Riemannian optimization

  Noferini, V. & Poloni, F., Aug 2021, In: Numerische Mathematik. 148, 4, p. 817–851 35 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Optimization 100%
  • System theory 74%
  • Factorization 65%
  • Eigenvalue 33%
  • Frobenius norm 32%
  47 Downloads (Pure)

• The limit empirical spectral distribution of complex matrix polynomials

  Barbarino, G. & Noferini, V., 2021, (E-pub ahead of print) In: Random Matrices: Theory and Application. 2250023.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Spectral Distribution 100%
  • Complex Polynomials 94%
  • Matrix Polynomial 92%
  • Empirical Distribution 91%
  • Polynomials 77%
• 2020

  Beyond non-backtracking: non-cycling network centrality measures

  Arrigo, F., Higham, D. J. & Noferini, V., 25 Mar 2020, In: PROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. 476, 2235, 28 p., 20190653.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Centrality 100%
  • Graph theory 86%
  • Walk 78%
  • Computer science 77%
  • Physics 66%
  8 Citations (Scopus)

  53 Downloads (Pure)

• Root polynomials and their role in the theory of matrix polynomials

  Dopico, F. M. & Noferini, V., 1 Jan 2020, In: Linear Algebra and Its Applications. 584, p. 37-78 42 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  • Polynomial Roots 100%
  • Matrix Polynomial 86%
  • Chain 18%
  • Root of a polynomial 11%
  • Reparametrization 10%
  6 Citations (Scopus)

• Structured backward errors in linearizations

  Noferini, V., Robol, L. & Vandebril, R., 2020, In: Electronic Transactions on Numerical Analysis. 54, p. 420-442 23 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • QR Algorithm 100%
  • Backward Error 97%
  • Linearization 68%
  • Companion Matrix 45%
  • Polynomials 37%
  54 Downloads (Pure)

• Wilkinson’s Bus: Weak Condition Numbers, with an Application to Singular Polynomial Eigenproblems

  Lotz, M. & Noferini, V., Dec 2020, In: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. 20, 6, p. 1439-1473 35 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Eigenproblem 100%
  • Condition number 83%
  • Stochastic Perturbation 68%
  • Matrix Polynomial 62%
  • Polynomials 62%
  6 Citations (Scopus)

  26 Downloads (Pure)
• 2019

  Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems

  Nakatsukasa, Y. & Noferini, V., 1 Oct 2019, In: Linear Algebra and Its Applications. 578, p. 272-296 25 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  • Inertia 100%
  • Eigenvalue Problem 80%
  • Congruence 60%
  • Eigenvalue 57%
  • Eigenproblem 28%
  3 Citations (Scopus)

• Non-Backtracking Alternating Walks

  Arrigo, F., Higham, D. J. & Noferini, V., 2019, In: SIAM Journal on Applied Mathematics. 79, 3, p. 781-801 21 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Directed graphs 100%
  • Walk 87%
  • Costs 32%
  • Network Connectivity 26%
  • Neuroscience 22%
  132 Downloads (Pure)

• Non-backtracking PageRank

  Arrigo, F., Higham, D. J. & Noferini, V., 15 Sep 2019, In: JOURNAL OF SCIENTIFIC COMPUTING. 80, 3, p. 1419-1437 19 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • PageRank 100%
  • Random walk 40%
  • Line Graph 26%
  • Sparsity 24%
  • Ranking 24%
  2 Citations (Scopus)

  133 Downloads (Pure)

• The Structured Condition Number of a Differentiable Map between Matrix Manifolds, with Applications

  Arslan, B., Noferini, V. & Tisseur, F., 2019, In: SIAM Journal on Matrix Analysis and Applications. 40, 2, p. 774-799 26 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Condition number 100%
  • Differentiable 82%
  • Automorphism Group 37%
  • Matrix Square Root 23%
  • Lower bound 18%
  3 Citations (Scopus)

  80 Downloads (Pure)
• 2018

  Non-backtracking walk centrality for directed networks

  Arrigo, F., Grindrod, P., Higham, D. J. & Noferini, V., 2018, In: Journal of Complex Networks.

  Research output: Contribution to journal › Article › Scientific › peer-review
  14 Citations (Scopus)

• On the exponential generating function for non-backtracking walks

  Arrigo, F., Grindrod, P., Higham, D. J. & Noferini, V., 2018, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  7 Citations (Scopus)

• The deformed graph Laplacian and its applications to network centrality analysis

  Grindrod, P., Higham, D. J. & Noferini, V., 2018, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  15 Citations (Scopus)
• 2017

  A formula for the fréchet derivative of a generalized matrix function

  Noferini, V., 2017, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  15 Citations (Scopus)

• Chebyshev rootfinding via computing eigenvalues of colleague matrices: When is it stable?

  Noferini, V. & Pérez, J., 2017, In: Mathematics of Computation.

  Research output: Contribution to journal › Article › Scientific › peer-review
  8 Citations (Scopus)

• Vector spaces of linearizations for Matrix polynomials: A bivariate polynomial approach

  Nakatsukasa, Y., Noferini, V. & Townsend, A., 2017, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  21 Citations (Scopus)
• 2016

  An algorithm to compute the polar decomposition of a 3 × 3 matrix

  Higham, N. J. & Noferini, V., 2016, In: NUMERICAL ALGORITHMS.

  Research output: Contribution to journal › Article › Scientific › peer-review
  12 Citations (Scopus)

• Fiedler-Comrade and Fiedler-Chebyshev pencils

  Noferini, V. & Pérez, J., 2016, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  14 Citations (Scopus)

• Numerical instability of resultant methods for multidimensional rootfinding

  Noferini, V. & Townsend, A., 2016, In: SIAM Journal on Numerical Analysis.

  Research output: Contribution to journal › Article › Scientific › peer-review
  6 Citations (Scopus)

• On the sign characteristics of Hermitian matrix polynomials

  Mehrmann, V., Noferini, V., Tisseur, F. & Xu, H., 2016, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  11 Citations (Scopus)

• On the stability of computing polynomial roots via confederate linearizations

  Nakatsukasa, Y. & Noferini, V., 2016, In: Mathematics of Computation.

  Research output: Contribution to journal › Article › Scientific › peer-review
  13 Citations (Scopus)
• 2015

  Duality of matrix pencils, Wong chains and linearizations

  Noferini, V. & Poloni, F., 2015, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  11 Citations (Scopus)

• Tropical roots as approximations to eigenvalues of matrix polynomials

  Noferini, V., Sharify, M. & Tisseur, F., 2015, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  16 Citations (Scopus)

• When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices?

  Noferini, V., 2015, In: LINEAR AND MULTILINEAR ALGEBRA.

  Research output: Contribution to journal › Article › Scientific › peer-review
• 2014

  Computing the common zeros of two bivariate functions via Bézout resultants

  Nakatsukasa, Y., Noferini, V. & Townsend, A., 2014, In: Numerische Mathematik.

  Research output: Contribution to journal › Article › Scientific › peer-review
  18 Citations (Scopus)

• Flanders' theorem for many matrices under commutativity assumptions

  De Terán, F., Lippert, R. A., Nakatsukasa, Y. & Noferini, V., 2014, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
• 2013

  Locating the eigenvalues of matrix polynomials

  Bini, D. A., Noferini, V. & Sharify, M., 2013, In: SIAM Journal on Matrix Analysis and Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  36 Citations (Scopus)

• Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method

  Bini, D. A. & Noferini, V., 2013, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  21 Citations (Scopus)

• The Ehrlich-Aberth method for palindromic matrix polynomials represented in the Dickson basis

  Gemignani, L. & Noferini, V., 2013, In: Linear Algebra and Its Applications.

  Research output: Contribution to journal › Article › Scientific › peer-review
  10 Citations (Scopus)
• 2012

  Modifications of Newton's method for even-grade palindromic polynomials and other twined polynomials

  Gemignani, L. & Noferini, V., 2012, In: NUMERICAL ALGORITHMS.

  Research output: Contribution to journal › Article › Scientific › peer-review
  2 Citations (Scopus)

• The behaviour of the complete eigenstructure of a polynomial matrix under a generic rational transformation

  Noferini, V., 2012, In: ELECTRONIC JOURNAL OF LINEAR ALGEBRA.

  Research output: Contribution to journal › Article › Scientific › peer-review

  16 Citations (Scopus)
• 2011

  Algebraic arctic curves in the domain-wall six-vertex model

  Colomo, F., Noferini, V. & Pronko, A. G., 2011, In: Journal of Physics A: Mathematical and Theoretical.

  Research output: Contribution to journal › Article › Scientific › peer-review
  13 Citations (Scopus)

• The application of the Ehrlich-Aberth method to structured polynomial eigenvalue problems

  Noferini, V., 2011, In: PAMM.

  Research output: Contribution to journal › Article › Scientific › peer-review