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- Dario Bini, Bruno Iannazzo, Beatrice Meini
- Fundamentals of algorithms
- 2012

Society for induStrial and applied MatheMaticS Numerical Solution of Algebraic Riccati Equations Dario A. Bini, Bruno Iannazzo, and Beatrice Meini Fundamentals of Algorithms 9 This concise andâ€¦ (More)

- Bruno Iannazzo
- SIAM J. Matrix Analysis Applications
- 2006

We consider the Newton iteration for computing the principal matrix pth root, which is rarely used in the application for the bad convergence and the poor stability. We analyze the convergenceâ€¦ (More)

- Federico Greco, Bruno Iannazzo
- Numerical Algorithms
- 2009

An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalues, using realâ€¦ (More)

- Bruno Iannazzo
- SIAM J. Matrix Analysis Applications
- 2008

Matrix fixed-point iterations zn+1 = Ïˆ(zn) defined by a rational function Ïˆ are considered. For these iterations a new proof is given that matrix convergence is essentially reduced to scalarâ€¦ (More)

- Chun-Hua Guo, Bruno Iannazzo, Beatrice Meini
- SIAM J. Matrix Analysis Applications
- 2007

Nonsymmetric algebraic Riccati equations for which the four coefficient matrices form an irreducible M -matrix M are considered. The emphasis is on the case where M is an irreducible singular Mâ€¦ (More)

- Bruno Iannazzo, Carlo Manasse
- SIAM J. Matrix Analysis Applications
- 2013

We describe a recurrence method for computing primary pth roots of a matrix A with a cost, in terms of elementary arithmetic operations and memory, which is logarithmic with respect to p. When A isâ€¦ (More)

- Bruno Iannazzo
- Numerical Lin. Alg. with Applic.
- 2016

The geometric mean of two matrices is considered from a computational viewpoint. Several numerical algorithms based on different properties and representations of the geometric mean are discussed andâ€¦ (More)

- Dario Bini, Bruno Iannazzo, Federico Poloni
- SIAM J. Matrix Analysis Applications
- 2008

A special instance of the algebraic Riccati equation XCXâˆ’XEâˆ’AX+B = 0 where the n Ã— n matrix coefficients A,B,C,E are rank structured matrices is considered. Relying on the structural properties ofâ€¦ (More)

- Dario Bini, Bruno Iannazzo
- Adv. Comput. Math.
- 2011

A new definition is introduced for the matrix geometric mean of a set of k positive definite nÃ—n matrices together with an iterative method for its computation. The iterative method is locallyâ€¦ (More)

- Massimiliano Fasi, Bruno Iannazzo
- SIAM J. Matrix Analysis Applications
- 2018