# Françoise Tisseur

#23,332

Most Influential Person Now

French mathematician

## Françoise Tisseur's AcademicInfluence.com Rankings

Françoise Tisseurmathematics Degrees

Mathematics

#1366

World Rank

#2269

Historical Rank

Applied Mathematics

#79

World Rank

#91

Historical Rank

Measure Theory

#3397

World Rank

#4012

Historical Rank

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Mathematics

## Françoise Tisseur's Degrees

- PhD Mathematics Federal University of Toulouse Midi-Pyrénées
- Masters Mathematics Federal University of Toulouse Midi-Pyrénées
- Bachelors Mathematics Federal University of Toulouse Midi-Pyrénées

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## Why Is Françoise Tisseur Influential?

(Suggest an Edit or Addition)According to Wikipedia, Françoise Tisseur is a numerical analyst and Professor of Numerical Analysis at the Department of Mathematics, University of Manchester, UK. She works in numerical linear algebra and in particular on nonlinear eigenvalue problemss and structured matrix problems, including the development of algorithms and software.

## Françoise Tisseur's Published Works

### Published Works

- The Quadratic Eigenvalue Problem (2001) (1331)
- NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013) (325)
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra (2000) (168)
- Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications (2001) (162)
- Symmetric Linearizations for Matrix Polynomials (2006) (141)
- The Conditioning of Linearizations of Matrix Polynomials (2006) (138)
- Backward Error of Polynomial Eigenproblems Solved by Linearization (2007) (122)
- Bounds for eigenvalues of matrix polynomials (2003) (101)
- An algorithm for the complete solution of quadratic eigenvalue problems (2013) (94)
- Backward error and condition of polynomial eigenvalue problems (2000) (91)
- A Parallel Divide and Conquer Algorithm for the Symmetric Eigenvalue Problem on Distributed Memory Architectures (1999) (89)
- The nonlinear eigenvalue problem * (2017) (85)
- Perturbation theory for homogeneous polynomial eigenvalue problems (2003) (82)
- More on pseudospectra for polynomial eigenvalue problems and applications in control theory (2002) (79)
- Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems (2002) (78)
- Structured Factorizations in Scalar Product Spaces (2005) (76)
- Structured Eigenvalue Condition Numbers (2006) (73)
- STRUCTURED TOOLS FOR STRUCTURED MATRICES (2003) (65)
- Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems (2008) (64)
- Functions Preserving Matrix Groups and Iterations for the Matrix Square Root (2005) (63)
- A Chart of Backward Errors for Singly and Doubly Structured Eigenvalue Problems (2002) (48)
- Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups (2004) (43)
- Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem (2001) (42)
- The Ehrlich-Aberth Method for the Nonsymmetric Tridiagonal Eigenvalue Problem (2005) (41)
- A framework for analyzing nonlinear eigenproblems and parametrized linear systems (2011) (39)
- Definite Matrix Polynomials and their Linearization by Definite Pencils (2009) (38)
- Hermitian matrix polynomials with real eigenvalues of definite type. Part I: Classification☆ (2012) (37)
- Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems (2008) (36)
- An Improved Arc Algorithm for Detecting Definite Hermitian Pairs (2009) (36)
- Polynomial Eigenvalue Problems: Theory, Computation, and Structure (2015) (32)
- Stability of Structured Hamiltonian Eigensolvers (2001) (32)
- G-Reflectors: Analogues of Householder Transformations in Scalar Product Spaces (2004) (31)
- Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras (2007) (28)
- The Canonical Generalized Polar Decomposition (2010) (27)
- Parallelizing the Divide and Conquer Algorithm for the SymmetricTridiagonal Eigenvalue Problem on Distributed Memory Architectures (1998) (26)
- Detecting the causes of ill-conditioning in structural finite element models (2014) (26)
- Tropical Roots as Approximations to Eigenvalues of Matrix Polynomials (2015) (24)
- Triangularizing matrix polynomials (2013) (23)
- NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide (2011) (23)
- Triangularizing Quadratic Matrix Polynomials (2013) (21)
- Simultaneous tridiagonalization of two symmetric matrices (2003) (20)
- Finite and Infinite Elementary Divisors of Matrix Polynomials: A Global Approach (2012) (18)
- Tridiagonal-Diagonal Reduction of Symmetric Indefinite Pairs (2004) (18)
- On the sign characteristics of Hermitian matrix polynomials (2016) (17)
- Standard Triples of Structured Matrix Polynomials (2012) (16)
- Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems (2000) (15)
- Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems (2018) (13)
- STRUCTURED CONDITION NUMBERS AND BACKWARD ERRORS IN SCALAR PRODUCT SPACES (2006) (12)
- Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials (2015) (12)
- The Structured Condition Number of a Differentiable Map between Matrix Manifolds, with Applications (2019) (11)
- Incomplete LU Preconditioner Based on Max-Plus Approximation of LU Factorization (2017) (11)
- On the Definition of Two Natural Classes of Scalar Product (2007) (11)
- Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems (2012) (11)
- Polynomial eigenvalue solver based on tropically scaled Lagrange linearization (2017) (11)
- Deflating quadratic matrix polynomials with structure preserving transformations (2011) (10)
- Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems (2017) (8)
- Eigenvector Error Bound and Perturbation for Polynomial and Rational Eigenvalue Problems (2016) (7)
- Parallel Implementation of a Symmetric Eigensolver Based on the Yau and Lu Method (1996) (7)
- Efficient Block Preconditioning for a C1 Finite Element Discretization of the Dirichlet Biharmonic Problem (2016) (6)
- An Updated Set of Nonlinear Eigenvalue Problems (2019) (6)
- Max-Balanced Hungarian Scalings (2019) (6)
- G-Reflectors in Scalar Product Spaces ¤ (2003) (5)
- Robust Rational Approximations of Nonlinear Eigenvalue Problems (2022) (5)
- A Max-Plus Approach to Incomplete Cholesky Factorization Preconditioners (2018) (5)
- Implicit Gamma Theorems (I): Pseudoroots and Pseudospectra (2003) (4)
- Effect of tropical scaling on linearizations of matrix polynomials: backward error and conditioning (2017) (4)
- Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder (2020) (4)
- Performance impact of precision reduction in sparse linear systems solvers (2022) (4)
- Filtering Frequencies in a Shift-and-Invert Lanczos Algorithm for the Dynamic Analysis of Structures (2019) (3)
- The role of topology and mechanics in uniaxially growing cell networks (2019) (3)
- Notes on Hyperbolic Matrix Polynomials and Definite Linearizations (2007) (2)
- Performance Evaluation of Mixed Precision Algorithms for Solving Sparse Linear Systems (2020) (1)
- Stability analysis of a chain of non-identical vehicles under bilateral cruise control (2019) (1)
- Computing the Polar Decomposition in Matrix Groups (2003) (1)
- Tropical scaling of a Lagrange-type linearization for matrix polynomial eigenvalue problems (2016) (0)
- Max-Balancing Hungarian Scalings Hook, James and Pestana, Jennifer and Tisseur, Francoise 2015 (2017) (0)
- Preface to the 16th ILAS Conference Proceedings, Pisa 2010 (2013) (0)
- Solving polynomial eigenvalue problems by a Lagrange-type linearization (2016) (0)
- A New Deeation Criterion for the Qr Algorithm a New Deeation Criterion for the Qr Algorithm (2007) (0)
- Simultaneous Tridiagonalization of Two Symmetric Matrices Seamus (2002) (0)
- Reduction of Matrix Polynomials to Simpler Forms (2018) (0)
- Hungarian Scaling of Polynomial Eigenproblems (2015) (0)
- Efficient Eigenvalue Computation of Rank-Structured Matrices : the QR Approach and Beyond (0)
- Parallel Implementation of the Yau and Lu Method for Eigenvalue Computation (1997) (0)
- Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem Pestana, Jennifer and Muddle, Richard and Heil, Matthias and Tisseur, Francoise and Mihajlovic, Milan 2015 (2017) (0)
- A new approach for MOR of second order dynamical systems (2009) (0)
- Symmetric Linearizations for Matrix (2017) (0)
- Asymptotic eigenvalue problems (2014) (0)
- Eigenvalues and Eigenvectors: Computation (2015) (0)
- Max-Balanced Hungarian Scalings Hook, James and Pestana, Jennifer and Tisseur, Francoise and Hogg, Jonathan 2015 (2017) (0)
- List of Reviewers (2012) (0)

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## Other Resources About Françoise Tisseur

## What Schools Are Affiliated With Françoise Tisseur?

Françoise Tisseur is affiliated with the following schools: