Bruno Iannazzo - Papers and Preprint

Book

D. A. Bini, B. Iannazzo and B. Meini, Numerical Solution of Algebraic Riccati Equations,
SIAM Fundamentals of Algorithms FA09, SIAM, Philadelphia, 2012,
xii+256 pages, Softcover,
ISBN 978-1-611972-08-5.
[Official webpage]

Preprints and recent

F. De Terán, B. Iannazzo. On the uniqueness of solution of the generalized $\star$-Sylvester equation with arbitrary coefficients. Preprint 2024.
D. Bini, B. Iannazzo, J. Meng. Convergence properties of sequences related to the Ando-Li-Mathias construction and to the weighted Cheap mean, Preprint 2024.
D. Bini, B. Iannazzo. Computational aspects of the geometric mean of two matrices: a survey, Preprint 2024.
B. Iannazzo, B. Meini, F. Poloni. Invariant subspaces of T-palindromic pencils and algebraic T-Riccati equations. LAMA, published online 22 april 2024. arXiv preprint
D. Bini, B. Iannazzo, B. Meini, J. Meng, L. Robol. Computing eigenvalues of semi-infinite quasi-Toeplitz matrices. Num. Alg. 92 (2022), pp. 89-118. arXiv preprint
D. A. Bini, B. Iannazzo and J. Meng. Geometric means of quasi-Toeplitz matrices. BIT 63 (2023), article 20. [arXiv preprint]
P. Benner, B. Iannazzo, B. Meini, D. Palitta. Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations, BIT 62, (2022), pp. 1649-1672.
arXiv preprint

Book chapters

D. A. Bini, B. Iannazzo, J. Meng, Algorithms for Approximating Means of Semi-infinite Quasi-Toeplitz Matrices
In: Geometric Science of Information 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings. Editors F. Nielsen, F. Barbaresco.
B. Iannazzo, B. Jeuris and F. Pompili. The derivative of the matrix geometric mean with an application to the nonnegative decomposition of tensor grids
In: Bini D., Di Benedetto F., Tyrtyshnikov E., Van Barel M. (eds) Structured Matrices in Numerical Linear Algebra. Springer INdAM Series, vol 30. Springer, Cham. 2019.
Due to the policy of the editor, the paper cannot be published here, but it can be sent by e-mail under request.
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[Published version]

Journal papers

N. Chouaieb, B. Iannazzo and M. Moakher. Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means Linear Algebra Appl., 638 (2022), pp. 80-109.
[Journal paper]
M. Fasi and B. Iannazzo. The dual inverse scaling and squaring algorithm for the matrix logarithm. IMA J. Numer. Anal., 42-2 (2022), pp. 2829-2851. [Journal paper (free access)] - [Preprint at Manchester eprints]
M. Fasi and B. Iannazzo. Substitution algorithms for rational matrix equations. Electron. Trans. Numer. Anal., 53 (2020), pp. 500-521.
[Journal paper (open access)] - [Preprint at Manchester eprints]
F. De Terán, B. Iannazzo, F. Poloni and L. Robol. Nonsingular systems of generalized Sylvester equations: an algorithmic approach. Numer. Linear Algebra Appl., 26-5, (2019), e2261 (29 pages)
[Preprint at arXiv] - [Published version]
M. Fasi and B. Iannazzo. Computing primary solutions of equations involving primary matrix functions. Linear Algebra Appl. 560 (2019), pp. 17-42.
M. Fasi and B. Iannazzo. Computing the weighted geometric mean of two large-scale matrices and its inverse times a vector. Preprint at MIMS ePrint. SIAM J. Matrix Anal. Appl. 39-1 (2018), pp. 178-203. [Preprint]
F. De Terán, B. Iannazzo, F. Poloni and L. Robol. Solvability and uniqueness criteria for generalized Sylvester-type equations. Linear Algebra Appl. 542-1 (2018), pp. 501-521.
[Submitted]
B. Iannazzo and M. Porcelli. The Riemannian Barzilai-Borwein method with nonmonotone line search and the matrix geometric mean computation. IMA J. Numer. Anal. 38-1 (2018), pp. 495-517.
[Preprint] - [Code]
M. Ferranti, B. Iannazzo, T. Mach and R. Vandebril. An extended Hamiltonian QR algorithm. Calcolo, 54-3 (2017), pp. 1097-1120.
[Preprint] - [Published version]
M. Ferranti, B. Iannazzo, T. Mach and R. Vandebril. An extended Hessenberg form for Hamiltonian matrices. Calcolo, 54-1 (2017), pp. 423-453.
[Preprint] - [Published version]
B. Iannazzo. The geometric mean of two matrices from a computational viewpoint. Numer. Linear Alg. Appl., 23-2 (2016), pp. 208-229.
[arXiv Preprint (slightly different)] - [Published version] - [Tests code (tar gzipped archive)]

The definitive version is available at www3.interscience.wiley.com
F. De Terán and B. Iannazzo. Uniqueness of solution of a generalizes star-Sylvester matrix equation. Linear Alg. Appl., 493 (2016), pp. 323-335.
[Preprint] - [Published version]
M. Fasi, N. Higham and B. Iannazzo. An algorithm for the matrix Lambert W function. SIAM J. Matrix Anal. Appl., 36-2 (2015), pp. 669-685.
[Journal] - [Code]

B. Iannazzo and B. Meini, The Palindromic Cyclic Reduction and related algorithms, Calcolo, 52-1 (2015), pp. 25-43.
[Submitted] - [Journal] - [BibTeX]
The final publication is available at http://link.springer.com.

@techreport {iannazzo:p2013a,
     AUTHOR = {Iannazzo, Bruno and Meini, Beatrice},
     TITLE = {The Palindromic Cyclic Reduction and related algorithms},
     JOURNAL = {Calcolo},
     NOTE = {Published online January 2014},
     URL = {http://dx.doi.org/10.1007/s10092-014-0106-z},
}

D. Bini, B. Iannazzo, B. Jeuris and R. Vandebril, Geometric means of structured matrices, BIT, 54-1 (2014), pp. 55-83.
[Submitted] - [Journal] - [BibTeX]
The final publication is available at http://link.springer.com.

@techreport {iannazzo:2014a,
	     AUTHOR = {Bini, Dario A. and Iannazzo, Bruno and Jeuris, Ben and Vandebril, Raf},
     TITLE = {Geometric means of structured matrices},
     MONTH = {December},
   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {54},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {55--83},
      ISSN = {0006-3835},     
       DOI = {10.1007/s10543-013-0450-4},
       URL = {http://dx.doi.org/10.1007/s10543-013-0450-4},
}

B. Iannazzo and C. Manasse, A Schur logarithmic algorithm for fractional powers of matrices, SIAM J. Matrix Anal. Appl., 34-2 (2013), pp. 794-813
[Published] - [Octave and Matlab Codes] - [BibTeX]
Copyright owned by SIAM

@techreport {iannazzo:2013c,
	     AUTHOR = {Iannazzo, Bruno and Manasse, Carlo},
     TITLE = {A Schur logarithmic algorithm for fractional powers of matrices},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {34},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {794–-813},
      ISSN = {0895-4798},
       DOI = {10.1137/070681478},
}

B. Iannazzo and F. Poloni, A subspace shift technique for solving close-to-critical nonsymmetric algebraic Riccati equations, Numer. Linear Algebra Appl., 20-3 (2013), pp. 440-452.
[Preprint] - [Journal] - [BibTeX]
The definitive version is available at www3.interscience.wiley.com

@article {iannazzo:2013b,
    AUTHOR = {Iannazzo, Bruno and Poloni, Federico},
     TITLE = {A subspace shift technique for solving close-to-critical nonsymmetric algebraic {R}iccati equations},
   JOURNAL = {Numer. Linear Algebra Appl.},
  FJOURNAL = {Numerical Linear Algebra with Applications},
    VOLUME = {20},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {440-452},
	DOI = {10.1002/nla.1836},
}

D. A. Bini and B. Iannazzo, Computing the Karcher mean of symmetric positive definite matrices, Linear Algebra Appl., 438-4 (2013), pp. 1700-1710.
[Submitted] - [Journal] - [Codes] - [BibTeX]

@article {iannazzo:2013a,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno},
     TITLE = {Computing the {K}archer mean of symmetric positive definite matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {438},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {1700-1710},
      ISSN = {0024-3795},
       DOI = {10.1016/j.laa.2011.08.052},
       URL = {},
}

F. Greco, B. Iannazzo and F. Poloni, The Padé iterations for the matrix sign function and their reciprocals are optimal, Linear Algebra Appl., 436 (2012), pp. 472-477. [Submitted] - [Journal] - [BibTeX]

@article {iannazzo:2012a,
    AUTHOR = {Greco, Federico and Iannazzo, Bruno and Poloni, Federico},
     TITLE = {The {P}ad\'e iterations for the matrix sign function and their reciprocals are optimal},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {436},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {472-477},
      ISSN = {0024-3795},
       DOI = {The geometric mean of two matrices:\\numerical computation and applications},
}

D. A. Bini and B. Iannazzo, A note on computing Matrix Geometric Means, Adv. Comput. Math., 35-2/4 (2011), pp. 175-192.
[Codes] - [Submitted] - [Journal] - [BibTeX]
The final publication is available at http://link.springer.com.

@article {iannazzo:2011b,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno},
     TITLE = {A note on computing {M}atrix {G}eometric {M}eans},
   JOURNAL = {Adv. Comput. Math.},
  FJOURNAL = {Advances in Computational Mathematics},
    VOLUME = {35},
      YEAR = {2011},
    NUMBER = {2--4},
     PAGES = {175--192},
      ISSN = {1019--7168},
       DOI = {10.1007/s10444-010-9165-0},
       URL = {http://dx.doi.org/10.1007/s10444-010-9165-0},
}

B. Iannazzo and B. Meini, Palindromic matrix polyomials, matrix functions and integral representations, Linear Algebra Appl., 434-1 (2011), pp. 174-184.
[Submitted] - [Journal] - [BibTeX]

@article {iannazzo:2011a,
    AUTHOR = {Iannazzo, Bruno and Meini, Beatrice},
     TITLE = {Palindromic matrix polyomials, matrix functions and integral representations},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {434},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {174--184},
      ISSN = {0024-3795},
       DOI = {10.1016/j.laa.2010.09.013},
       URL = {http://dx.doi.org/10.1016/j.laa.2010.09.013},
}

F. Greco and B. Iannazzo, A binary powering Schur algorithm for computing primary matrix roots, Numer. Algorithms, 55-1 (2010), pp. 59-78.
[Codes] - [Submitted] - [Journal] - [BibTeX]
The final publication is available at http://link.springer.com.

B. Iannazzo, A family of rational iterations and its application to the computation of the matrix pth root, SIAM J. Matrix Anal. Appl., 30-4 (2008), pp. 1445-1462.
[Submitted] - [Journal] - [BibTeX] Copyright owned by SIAM

@article {iannazzo2008b,
    AUTHOR = {Iannazzo, Bruno},
     TITLE = {A family of rational iterations and its application to the
              computation of the matrix {$p$}th root},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {30},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {1445--1462},
      ISSN = {0895-4798},
       DOI = {10.1137/070694351},
       URL = {http://dx.doi.org/10.1137/070694351},
}

D. A. Bini, B. Iannazzo and F. Poloni, A fast Newton's method for a nonsymmetric algebraic Riccati equation, SIAM J. Matrix Anal. Appl. , 30-1 (2008), pp. 276-290.
[Submitted] - [Journal] - [BibTeX] Copyright owned by SIAM

@article {iannazzo:2008a,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno and Poloni, Federico},
     TITLE = {A fast {N}ewton's method for a nonsymmetric algebraic {R}iccati equation},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {30},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {276--290},
      ISSN = {0895-4798},
       DOI = {10.1137/070681478},
       URL = {http://dx.doi.org/10.1137/070681478},
}

C.-H. Guo, B. Iannazzo and B. Meini, On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation, SIAM J. Matrix Anal. Appl., 29-4 (2007), pp. 1083-1100.
[Submitted] - [Journal] - [BibTeX] Copyright owned by SIAM

@article {iannazzo:2007a,
    AUTHOR = {Guo, Chun-Hua and Iannazzo, Bruno and Meini, Beatrice},
     TITLE = {On the doubling algorithm for a (shifted) nonsymmetric algebraic {R}iccati equation},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {29},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {1083--1100},
      ISSN = {0895-4798},
       DOI = {10.1137/060660837},
       URL = {http://dx.doi.org/10.1137/060660837},
}

B. Iannazzo, On the Newton method for the matrix pth root, SIAM J. Matrix Anal. Appl., 28-2 (2006), pp. 503-523.
[Journal] - [BibTeX] Copyright owned by SIAM

@article {iannazzo:2006b,
    AUTHOR = {Iannazzo, Bruno},
     TITLE = {On the {N}ewton method for the matrix {$p$}th root},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {28},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {503--523 (electronic)},
      ISSN = {0895-4798},
       DOI = {10.1137/050624790},
       URL = {http://dx.doi.org/10.1137/050624790},
}

D. A. Bini, B. Iannazzo, G. Latouche and B. Meini, On the solution of Riccati equations arising in fluid queues, Linear Algebra Appl., 413 (2006), 2-3, pp. 474-494.
[BibTeX]

@article {iannazzo:2006a,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno and Latouche, Guy and Meini, Beatrice},
     TITLE = {On the solution of algebraic {R}iccati equations arising in fluid queues},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {413},
      YEAR = {2006},
    NUMBER = {2-3},
     PAGES = {474--494},
      ISSN = {0024-3795},
       DOI = {10.1016/j.laa.2005.04.019},
       URL = {http://dx.doi.org/10.1016/j.laa.2005.04.019},
}

B. Iannazzo, A note on computing the matrix square root, Calcolo, 40-4 (2003), pp. 273-283.
[BibTeX]

@article {iannazzo:2003a,
    AUTHOR = {Iannazzo, Bruno},
     TITLE = {A note on computing the matrix square root},
   JOURNAL = {Calcolo},
  FJOURNAL = {Calcolo. A Quarterly on Numerical Analysis and Theory of
              Computation},
    VOLUME = {40},
      YEAR = {2003},
    NUMBER = {4},
     PAGES = {273--283},
      ISSN = {0008-0624},
       DOI = {10.1007/s10092-003-0079-9},
       URL = {http://dx.doi.org/10.1007/s10092-003-0079-9},
}

Book chapters

D. A. Bini, B. Iannazzo, B. Meini and F. Poloni, Nonsymmetric algebraic Riccati equations associated with an M-matrix: recent advances and algorithms, in "Matrix methods: theory, algorithms, applications", V. Olshevsky and E. Tyrtyshnikov eds., World Scientific, ISBN: 978-981-283-601-4, 2010. [BibTeX]

@incollection {iannazzo:2003a,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno and Meini, Beatrice and Poloni, Federico},
     TITLE = {Nonsymmetric algebraic {R}iccati equations associated with an {M}-matrix: recent advances and algorithms},
 BOOKTITLE = {Matrix methods: theory, algorithms, applications},
     PAGES = {176--209},
    EDITOR = {V. Olshevsky and E. Tyrtyshnikov},
 PUBLISHER = {World Scientific Publishing},
     MONTH = {April},
      YEAR = {2010},
      ISBN = {978-981-283-601-4},
}

Preprint, Reports and Proceedings (2)

B. Iannazzo and F. Poloni, The worst-case scenario in nonlinear matrix equations, Proceedings of the 6th International Workshop on the Numerical Solution of Markov Chains (NSMC) 2010, Williamsburg, VA, 2010.
[BibTeX]

@inproceedings {iannazzo:p2010,
    AUTHOR = {Iannazzo, Bruno and Poloni, Federico},
     TITLE = {The worst-case scenario in nonlinear matrix equations},
 BOOKTITLE = {Proceedings of the 6th International Workshop on the Numerical Solution of Markov Chains (NSMC) 2010},
     PAGES = {},
      YEAR = {2010},
   ADDRESS = {Williamsburg, VA, USA},
}

D. A. Bini and B. Iannazzo, A Cyclic Reduction Method for Solving Algebraic Riccati Equations, Technical Report, Dipartimento di Matematica, Università di Pisa, 2005.
[BibTeX]

@techreport {iannazzo:p2005,
    AUTHOR = {Bini, Dario A. and Iannazzo, Bruno},
     TITLE = {A {C}yclic {R}eduction {M}ethod for {S}olving {A}lgebraic {R}iccati {E}quations},
INSTITUTION = {Universit\`a di Pisa},
      YEAR = {2005},
   ADDRESS = {Dipartimento di Matematica},
}

PhD Thesis

Numerical solution of certain nonlinear matrix equations, PhD thesis, Dipartimento di Matematica, Università di Pisa, 2007. [BibTeX]

@phdthesis {iannazzo:PhDthesis,
    AUTHOR = {Iannazzo, Bruno},
     TITLE = {Numerical solution of certain nonlinear matrix equations},
    SCHOOL = {Universit\`a di Pisa},
      TYPE = {{PhD} Dissertation},
   ADDRESS = {Dipartimento di Matematica},
      YEAR = {2007},
}

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