Francoise Tisseur

Search results

• 2023

  A parametrization of structure-preserving transformations for matrix polynomials

  Garvey, S. D., Tisseur, F. & Wang, S., 1 Jun 2023, In: Linear Algebra and its Applications.

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

  Open Access

  • Polynomial Matrix 100%
  • Preserving Transformation 100%
  • Coefficient Matrix 28%
  • Vector Space 14%
  • Identitymatrix 14%
• 2022

  ROBUST RATIONAL APPROXIMATIONS OF NONLINEAR EIGENVALUE PROBLEMS∗

  Güttel, S., Negri Porzio, G. M. & Tisseur, F., 27 Apr 2022, (Accepted/In press) In: SIAM Journal on Scientific Computing.

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

  • Matrix 100%
  • Nonlinear Eigenvalue 100%
  • Rational Approximation 100%
  • Valued Function 100%
  • Eigenvalue Problem 100%
• 2021

  Performance Impact of Precision Reduction In Sparse Linear Systems Solvers

  Zounon, M., Higham, N., Lucas, C. & Tisseur, F., 19 Oct 2021, (Accepted/In press) In: PeerJ Computer Science.

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

  • Single Precision 100%
  • Performance Impact 100%
  • Linear Systems 100%
  • Double Precision 100%
  • Precision Arithmetic 33%
• 2020

  Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder

  Tisseur, F. & Van Barel, M., 26 Oct 2020, (Accepted/In press) In: Linear Algebra and its Applications.

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

  • Polynomial 100%
  • Min-Max 100%
  • MATLAB 20%
  • Approximates 20%
  • Diagonal 20%

• The role of topology and mechanics in uniaxially growing cell networks

  Erlich, A., Jones, G., Tisseur, F., Moulton, D. E. & Goriely, A., Jan 2020, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476, 2233, 20190523.

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

  Open Access

  File

  • Cell Growth 100%
  • Tissue Reaction 100%
  • Tissue Level 100%
  • Tissue Structure 100%
  • Cell Network 100%
  196 Downloads (Pure)
• 2019

  FILTERING FREQUENCIES IN A SHIFT-AND-INVERT LANCZOS ALGORITHM FOR THE DYNAMIC ANALYSIS OF STRUCTURES

  Zemaite, M., Tisseur, F. & Kannan, R., 25 Jun 2019, (E-pub ahead of print) In: S I A M Journal on Scientific Computing.

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

  Open Access

  • Filtration 100%
  • Eigenvector 100%
  • Dynamic Analysis 100%
  • Eigenvalue 50%
  • Matrix 33%

• Max-Balanced Hungarian Scalings

  Hook, J., Pestana, J., Tisseur, F. & Hogg, J., 2019, In: S I A M Journal on Matrix Analysis and Applications. 40, 1, p. 320-346 27 p.

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

  Open Access

  • Matrix 100%
  • Diagonal 100%
  • Numerical Experiment 50%
  • Permutation 25%
  • Minimizes 25%

• THE STRUCTURED CONDITION NUMBER OF A DIFFERENTIABLE MAP BETWEEN MATRIX MANIFOLDS, WITH APPLICATIONS

  Arslan, B., Noferini, V. & Tisseur, F., 25 Jun 2019, In: S I A M Journal on Matrix Analysis and Applications.

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

  Open Access

  • Manifold 100%
  • Matrix 100%
  • Differentiable Map 100%
  • Automorphism Group 50%
  • Lie Algebra 16%
• 2018

  A Max-Plus Approach to Incomplete Cholesky Factorization Preconditioners

  Hook, J., Scott, J., Tisseur, F. & Hogg, J., 3 Jul 2018, In: SIAM Journal on Scientific Computing. 40, 4, p. A1987–A2004

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

  Open Access

  • Max 100%
  • Cholesky Factorization 100%
  • Symmetric Positive Definite 66%
  • Sparsity Pattern 66%
  • Cholesky Factor 33%

• Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems

  Lietaert, P., Meerbergen, K. & Tisseur, F., 4 Sept 2018, In: SIAM Journal on Scientific Computing. 36, 2, p. A2801-A2829

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

  Open Access

  File

  • Nonlinear Eigenvalue 100%
  • Eigenvalue Problem 100%
  • Polynomial 60%
  • Inner Product 60%
  • Eigenvector 40%
  146 Downloads (Pure)

• REDUCTION OF MATRIX POLYNOMIALS TO SIMPLER FORMS

  Nakatsukasa, Y., Taslaman, L., Tisseur, F. & Zaballa, I., 30 Jan 2018, In: SIAM Journal on Matrix Analysis and Applications. 39, 1, p. 148 177 p.

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

  Open Access

  • Polynomial Matrix 100%
  • Simple Form 100%
  • Matrix 60%
  • Similarity Transformation 60%
  • Diagonal 40%
• 2017

  Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems

  Chen, H., Maeda, Y., Imakura, A., Sakurai, T. & Tisseur, F., 24 Mar 2017, In: JSIAM Letters. 9, p. 17-20 4 p.

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

  Open Access

  File

  • Eigenvalue Problem 100%
  • Numerical Stability 100%
  • Matrix 25%
  • Rayleigh 25%
  • Eigenvalue 25%
  141 Downloads (Pure)

• INCOMPLETE LU PRECONDITIONER BASED ON MAX-PLUS APPROXIMATION OF LU FACTORIZATION

  Hook, J. & Tisseur, F., 2017, In: SIAM Journal on Matrix Analysis and Applications. 38, 4, p. 1160-1189 29 p.

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

  Open Access

  • LU Factorization 100%
  • Max 100%
  • Lu Factorization 100%
  • Matrix 50%
  • Complex Matrix 50%

• Polynomial eigenvalue solver based on tropically scaled Lagrange linearization

  Van Barel, M. & Tisseur, F., 2017, In: Linear Algebra and its Applications.

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

  Open Access

  File

  • Polynomial 100%
  • Eigenvalue 100%
  • Eigenvalue Problem 33%
  • Numerical Experiment 33%
  111 Downloads (Pure)

• The nonlinear eigenvalue problem

  Guettel, S. & Tisseur, F., 2017, In: Acta Numerica. 26

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

  Open Access

  File

  • Eigenvalue 100%
  • Engineering Application 50%
  • Ten Year 50%
  • Solution Technique 50%
  • Newton's Method 50%
  2045 Downloads (Pure)
• 2016

  Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem

  Pestana, J., Muddle, R., Heil, M., Tisseur, F. & Mihajlovic, M., 28 Jan 2016, In: S I A M Journal on Scientific Computing. 38, 1, p. A325–A345

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

  Open Access

  • Discretization 100%
  • Diagonal 100%
  • Matrix 50%
  • Coefficient Matrix 50%
  • Degree of Freedom 50%

• On the sign characteristics of Hermitian matrix polynomials

  Mehrmann, V., Noferini, V., Tisseur, F. & Xu, H., 15 Dec 2016, In: Linear Algebra and its Applications. 511, 0, p. 328-364

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

  Open Access

  • Polynomial 100%
  • Hermitian Matrix 100%
  • Eigenvalue 66%
  • Hamiltonian Systems 33%
  • Polynomial Matrix 33%
• 2015

  Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials

  Karlsson, L. & Tisseur, F., 2015, In: SIAM J. Sci. Comput.. 3, 37, p. C384-C414

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

• Tropical roots as approximations to eigenvalues of matrix polynomials

  Noferini, V., Sharify, M. & Tisseur, F., 5 Feb 2015, In: S I A M Journal on Matrix Analysis and Applications. 36, 1, p. 138-157 19 p.

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

  Open Access

  File
  46 Downloads (Pure)
• 2014

  Detecting the causes of ill-conditioning in structural finite element models

  Kannan, R., Hendry, S., Higham, N. J. & Tisseur, F., 2014, In: Computers & Structures. 133, p. 79-89 10 p.

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

  Open Access

  File
  47 Downloads (Pure)
• 2013

  An algorithm for the complete solution of quadratic eigenvalue problems

  Hammarling, S., Munro, C. J. & Tisseur, F., Apr 2013, In: ACM Transactions on Mathematical Software. 39, 3, 18.

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

  • Eigenvalue Problem 100%
  • Eigenvalue 100%
  • Complete Solution 100%
  • MATLAB 66%
  • Eigenvector 33%

• Triangularization of matrix polynomials

  Taslaman, L., Tisseur, F. & Zaballa, I., 2013, In: Linear Algebra and its Applications. 439, 7, p. 1679-1699

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

  Open Access

  File
  31 Downloads (Pure)

• Triangularizing quadratic matrix polynomials

  Tisseur, F. & Zaballa, I., 2013, In: SIAM Journal on Matrix Analysis and Applications. 34, 2, p. 312-337 25 p.

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

  • Polynomial Matrix 100%
  • Numerical Algorithm 12%
  • Diagonal 12%
  • Upper Triangular 12%
  • Leading Coefficient 12%
• 2012

  Hermitian matrix polynomials with real eigenvalues of definite type. Part I: Classification

  Al-Ammari, M. & Tisseur, F., 15 May 2012, In: Linear Algebra and its Applications. 436, 10, p. 3954-3973 19 p.

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

  • Polynomial 100%
  • Hermitian Matrix 100%
  • Polynomial Matrix 100%
  • Real Eigenvalue 100%
  • Eigenvalue 42%

• Hermitian quadratic matrix polynomials: Solvents and inverse problems

  Lancaster, P. & Tisseur, F., 15 May 2012, In: Linear Algebra and its Applications. 436, 10, p. 4017-4026 9 p.

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

  • Polynomial Matrix 100%
  • Eigenvalue 66%
  • Eigenvector 33%
  • Polynomial 33%
  • Hermitian Matrix 33%

• Standard triples of structured matrix polynomials

  Al-Ammari, M. & Tisseur, F., 1 Aug 2012, In: Linear Algebra and its Applications. 437, 3, p. 817-834 17 p.

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

  • Structured Matrix 100%
  • Polynomial 100%
  • Polynomial Matrix 100%
  • Central Role 25%
  • Eigenvalue 25%
• 2011

  A framework for analyzing nonlinear eigenproblems and parametrized linear systems

  Grammont, L., Higham, N. J. & Tisseur, F., 1 Aug 2011, In: Linear Algebra and its Applications. 435, 3, p. 623-640 17 p.

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

  • Order of a polynomial 100%

• Deflating quadratic matrix polynomials with structure preserving transformations

  Tisseur, F., Garvey, S. D. & Munro, C., 1 Aug 2011, In: Linear Algebra and its Applications. 435, 3, p. 464-479 15 p.

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

  • Structured Block 100%
• 2009

  An improved arc algorithm for detecting definite hermitian pairs

  Guo, C. H., Higham, N. J. & Tisseur, F., 2009, In: SIAM Journal on Matrix Analysis and Applications. 31, 3, p. 1131-1151 20 p.

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

  • Cholesky Factorization 100%
  • Definiteness 100%
  • Complete Pivoting 50%
  • Hermitian Matrix 50%
  • Conjugate Gradient Method 50%

• Definite matrix polynomials and their linearization by definite pencils

  Higham, N. J., MacKey, D. S. & Tisseur, F., 2009, In: SIAM Journal on Matrix Analysis and Applications. 31, 2, p. 478-502 24 p.

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

  • Polynomial Matrix 100%
  • Polynomial 75%
  • Coefficient Matrix 50%
  • Leading Coefficient 50%
  • Definiteness 50%

• The canonical generalized polar decomposition

  Higham, N. J., Mehl, C. & Tisseur, F., 2009, In: SIAM Journal on Matrix Analysis and Applications. 31, 4, p. 2163-2180 17 p.

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

  • Polar Decomposition 100%
  • Square Matrix 60%
  • Scalar Product 60%
  • Matrix 40%
  • Commutativity 20%
• 2008

  Detecting and solving hyperbolic quadratic eigenvalue problems

  Guo, C. H., Higham, N. J. & Tisseur, F., 2008, In: SIAM Journal on Matrix Analysis and Applications. 30, 4, p. 1593-1613 20 p.

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

  • Eigenvalue Problem 100%
  • Matrix 50%
  • Eigenvalue 50%
  • Necessary and Sufficient Condition 25%
  • Polynomial 25%

• Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems

  Higham, N. J., Mackey, D. S., Tisseur, F. & Garvey, S. D., 15 Jan 2008, In: International Journal for Numerical Methods in Engineering. 73, 3, p. 344-360 16 p.

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

  • Eigenvalue Problem 100%
  • Numerical Solution 100%
  • Linear Problem 50%
  • Eigenvalue 50%
  • Quadratic Model 25%
• 2007

  Backward error of polynomial eigenproblems solved by linearization

  Higham, N. J., Li, R. C. & Tisseur, F., 2007, In: SIAM Journal on Matrix Analysis and Applications. 29, 4, p. 1218-1241 23 p.

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

  • Polynomial 100%
  • Approximates 75%
  • Error Bound 75%
  • Eigenvector 50%
  • Factorization 50%

• Structured mapping problems for matrices associated with scalar products. Part I: Lie and Jordan algebras

  Mackey, D. S., Mackey, N. & Tisseur, F., 2007, In: SIAM Journal on Matrix Analysis and Applications. 29, 4, p. 1389-1410 21 p.

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

  • Frobenius Norm 100%
• 2006

  Structured condition numbers and backward errors in scalar product spaces

  Tisseur, F. & Graillat, S., 2006, In: Electronic Journal of Linear Algebra. 15, p. 159-177 18 p.

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

  • Lie Algebra 100%
  • Scalar Product Space 100%
  • Jordan Algebra 100%
  • Linear System 100%
  • Matrix 66%

• Structured eigenvalue condition numbers

  Karow, M., Kressner, D. & Tisseur, F., 2006, In: SIAM Journal on Matrix Analysis and Applications. 28, 4, p. 1052-1068 16 p.

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

  • Eigenvalue 100%
  • Lie Algebra 60%
  • Scalar Product 40%
  • Jordan Algebra 40%
  • Matrix 20%

• Symmetric linearizations for matrix polynomials

  Higham, N. J., Mackey, D. S., Mackey, N. & Tisseur, F., 2006, In: SIAM Journal on Matrix Analysis and Applications. 29, 1, p. 143-159 16 p.

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

  • Proper Subset 100%

• The conditioning of linearizations of matrix polynomials

  Higham, N. J., Mackey, D. S. & Tisseur, F., 2006, In: SIAM Journal on Matrix Analysis and Applications. 28, 4, p. 1005-1028 23 p.

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

  • Polynomial Matrix 100%
  • Eigenvalue 100%
  • Polynomial 80%
  • Eigenvalue Problem 60%
  • Matrix 40%

• The Ehrlich-aberth method for the nonsymmetric tridiagonal eigenvalue problem

  Bini, D. A., Gemignani, L. & Tisseur, F., 2006, In: SIAM Journal on Matrix Analysis and Applications. 27, 1, p. 153-175 22 p.

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

  • Matrix 100%
  • QR Factorization 100%
  • Error Bound 100%
  • Divide and Conquer 100%
  • Initial Approximation 100%
• 2005

  Functions preserving matrix groups and iterations for the matrix square root

  Higham, N. J., Mackey, D. S., Mackey, N. & Tisseur, F., 2005, In: SIAM Journal on Matrix Analysis and Applications. 26, 3, p. 849-877 28 p.

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

  • Matrix 100%
  • Preserving Function 100%
  • Matrix Group 100%
  • Square Root 100%
  • Square Root of a Matrix 100%

• Structured factorizations in scalar product spaces

  Mackey, D. S., Mackey, N. & Tisseur, F., 2005, In: SIAM Journal on Matrix Analysis and Applications. 27, 3, p. 821-850 29 p.

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

  • Polar Decomposition 100%
  • Square Root of a Matrix 50%

• Tridiagonal-diagonal reduction of symmetric indefinite pairs

  Tisseur, F., 2005, In: SIAM Journal on Matrix Analysis and Applications. 26, 1, p. 215-232 17 p.

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

  • Diagonal Form 100%
  • Frequency Response 33%
• 2004

  Computing the polar decomposition and the matrix sign decomposition in matrix groups

  Higham, N. J., Mackey, D. S., Mackey, N. & Tisseur, F., 2004, In: SIAM Journal on Matrix Analysis and Applications. 25, 4, p. 1178-1192 14 p.

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

  • Matrix 100%
  • Matrix Group 100%
  • Polar Decomposition 100%
  • Newton Iteration 37%
  • Scalar 12%

• double struct G sign-reflectors: Analogues of Householder transformations in scalar product spaces

  Mackey, D. S., Mackey, N. & Tisseur, F., 1 Jul 2004, In: Linear Algebra and its Applications. 385, 1-3, p. 187-213 26 p.

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

  • Householder Transformation 100%
  • Unitary Group 33%
• 2003

  A chart of backward errors for singly and doubly structured eigenvalue problems

  Tisseur, F., 2003, In: SIAM Journal on Matrix Analysis and Applications. 24, 3, p. 877-897 20 p.

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

  • Eigenvalue 100%
  • Eigenvalue Problem 100%
  • Eigenpairs 50%
  • Approximates 50%

• Bounds for eigenvalues of matrix polynomials

  Higham, N. J. & Tisseur, F., 1 Jan 2003, In: Linear Algebra and its Applications. 358, 1-3, p. 5-22 17 p.

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

  • Matrix 100%
  • Coefficient Matrix 100%
  • Polynomial 100%
  • Polynomial Matrix 100%
  • Eigenvalue 100%

• Implicit gamma theorems (I): Pseudoroots and pseudospectra

  Dedieu, J. P., Kim, M. H., Shub, M. & Tisseur, F., 2003, In: Foundations of Computational Mathematics. 3, 1, p. 1-31 30 p.

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

  • Pseudosolution 100%

• Perturbation theory for homogeneous polynomial eigenvalue problems

  Dedieu, J. P. & Tisseur, F., 1 Jan 2003, In: Linear Algebra and its Applications. 358, 1-3, p. 71-94 23 p.

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

  • Eigenvalue 100%
  • Eigenvector 25%
  • Condition Number 25%
  • Simple Eigenvalue 25%
  • Posed Problem 12%

• Simultaneous tridiagonalization of two symmetric matrices

  Garvey, S. D., Tisseur, F., Friswell, M. I., Penny, J. E. T. & Prells, U., 28 Jul 2003, In: International Journal for Numerical Methods in Engineering. 57, 12, p. 1643-1660 17 p.

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

  • Definiteness 100%