Prof Francoise Tisseur - publications

2099

• Pestana, J., Muddle, R., Heil, M., Tisseur, F., & MIHAJLOVIC, M. (2099). Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem. S I A M Journal on Scientific Computing. . Publication link: a842e7ce-ca57-4e7e-943e-a8d5998a1f79

2017

• Van Barel, M., & Tisseur, F. (2017). Polynomial eigenvalue solver based on tropically scaled Lagrange linearization. Linear Algebra and Its Applications. DOI: 10.1016/j.laa.2017.04.025. Publication link: 2d15f7a3-a8e0-4bf0-98ac-7316d0468071
• Güttel, S., & Tisseur, F. (2017). The nonlinear eigenvalue problem. Acta Numerica. . Publication link: 00cea8a0-0cba-4e3c-9387-4d53082170f1

2016

• Chen, H., Maeda, Y., Imakura, A., Sakurai, T., & Tisseur, F. (2016). Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems. JSIAM Letters. . Publication link: 6602e6cb-bef2-4d1e-bd3a-3dea686a34a8
• Mehrmann, V., Noferini, V., Tisseur, F., & Xu, H. (2016). On the sign characteristics of Hermitian matrix polynomials. Linear Algebra and Its Applications. DOI: 10.1016/j.laa.2016.09.002. Publication link: 1686b266-a7ab-4bab-aa67-3a39addcef24

2015

• Karlsson, L., & Tisseur, F. (2015). Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials. SIAM J. Sci. Comput., 3(37), C384-C414. DOI: 10.1137/140970458. Publication link: 3506a104-a801-4364-b763-4e4e01269c8f
• Noferini, V., Sharify, M., & Tisseur, F. (2015). Tropical roots as approximations to eigenvalues of matrix polynomials. S I A M Journal on Matrix Analysis and Applications, 36(1), 138-157. DOI: 10.1137/14096637X. Publication link: fa5cf427-07c3-4569-b2c8-1c6467bc0d26

2014

• Kannan, R., Hendry, S., Higham, N. J., & Tisseur, F. (2014). Detecting the causes of ill-conditioning in structural finite element models. Unknown Journal, 133, 79-89. DOI: 10.1016/j.compstruc.2013.11.014. Publication link: 235eed4d-b134-4357-aaf1-e9d8870a8f2b

2013

• Taslaman, L., Tisseur, F., & Zaballa, I. (2013). Triangularization of matrix polynomials. LINEAR ALGEBRA AND ITS APPLICATIONS, 439(7), 1679-1699. . Publication link: c6974443-076e-487e-8e6d-c4b1541dd8f3
• Tisseur, F., & Zaballa, I. (2013). Triangularizing quadratic matrix polynomials. SIAM Journal on Matrix Analysis and Applications, 34(2), 312-337. DOI: 10.1137/120867640. Publication link: bf304ba0-43c9-4e00-9a29-b5683590dc66
• Hammarling, S., Munro, C. J., & Tisseur, F. (2013). An algorithm for the complete solution of quadratic eigenvalue problems. ACM Transactions on Mathematical Software, 39(3), [18]. DOI: 10.1145/2450153.2450156. Publication link: 495ad602-65a4-4604-a209-66b2f6498470

2012

• Lancaster, P., & Tisseur, F. (2012). Hermitian quadratic matrix polynomials: Solvents and inverse problems. Linear Algebra and Its Applications, 436(10), 4017-4026. DOI: 10.1016/j.laa.2010.06.047. Publication link: ba052ab1-b99a-4bd8-8d08-d085a909a333
• Al-Ammari, M., & Tisseur, F. (2012). Standard triples of structured matrix polynomials. Linear Algebra and Its Applications, 437(3), 817-834. DOI: 10.1016/j.laa.2012.03.020. Publication link: 784715b8-60a1-4fe4-bc40-7cd351438337
• Al-Ammari, M., & Tisseur, F. (2012). Hermitian matrix polynomials with real eigenvalues of definite type. Part I: Classification. Linear Algebra and Its Applications, 436(10), 3954-3973. DOI: 10.1016/j.laa.2010.08.035. Publication link: 251af1f8-2106-4400-9e38-68ca01020bb6

2011

• Tisseur, F., Garvey, S. D., & Munro, C. (2011). Deflating quadratic matrix polynomials with structure preserving transformations. Linear Algebra and Its Applications, 435(3), 464-479. DOI: 10.1016/j.laa.2010.06.028. Publication link: ae61ad80-1c4d-4f89-8900-ef3cb999f60d
• Grammont, L., Higham, N. J., & Tisseur, F. (2011). A framework for analyzing nonlinear eigenproblems and parametrized linear systems. Linear Algebra and Its Applications, 435(3), 623-640. DOI: 10.1016/j.laa.2009.12.038. Publication link: f3c77ccf-f3b9-480a-a2ed-b4bd93ff7cb5

2009

• Higham, N. J., MacKey, D. S., & Tisseur, F. (2009). Definite matrix polynomials and their linearization by definite pencils. SIAM Journal on Matrix Analysis and Applications, 31(2), 478-502. DOI: 10.1137/080721406. Publication link: abc56e57-8368-441d-a47f-b807df923f58
• Guo, C. H., Higham, N. J., & Tisseur, F. (2009). An improved arc algorithm for detecting definite hermitian pairs. SIAM Journal on Matrix Analysis and Applications, 31(3), 1131-1151. DOI: 10.1137/08074218X. Publication link: 45d00a1c-eb08-4932-8014-0fdb41338542
• Higham, N. J., Mehl, C., & Tisseur, F. (2009). The canonical generalized polar decomposition. SIAM Journal on Matrix Analysis and Applications, 31(4), 2163-2180. DOI: 10.1137/090765018. Publication link: 87272ac4-a4c5-4d77-979a-3e6ddc134fb9

2008

• Guo, C. H., Higham, N. J., & Tisseur, F. (2008). Detecting and solving hyperbolic quadratic eigenvalue problems. SIAM Journal on Matrix Analysis and Applications, 30(4), 1593-1613. DOI: 10.1137/070704058. Publication link: 46166c4f-e263-4eda-9a07-5ba1480e1859
• Higham, N. J., Mackey, D. S., Tisseur, F., & Garvey, S. D. (2008). Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems. International Journal for Numerical Methods in Engineering, 73(3), 344-360. DOI: 10.1002/nme.2076. Publication link: 8b9645a8-7647-4f76-a3ff-f7de5efbbc7c

2007

• Mackey, D. S., Mackey, N., & Tisseur, F. (2007). Structured mapping problems for matrices associated with scalar products. Part I: Lie and Jordan algebras. SIAM Journal on Matrix Analysis and Applications, 29(4), 1389-1410. DOI: 10.1137/060657856. Publication link: e630b9d8-b72e-49a5-8d1c-342795817f5c
• Higham, N. J., Li, R. C., & Tisseur, F. (2007). Backward error of polynomial eigenproblems solved by linearization. SIAM Journal on Matrix Analysis and Applications, 29(4), 1218-1241. DOI: 10.1137/060663738. Publication link: 4774b159-7ba8-403e-a8ed-7861b62c9f46

2006

• Karow, M., Kressner, D., & Tisseur, F. (2006). Structured eigenvalue condition numbers. SIAM Journal on Matrix Analysis and Applications, 28(4), 1052-1068. DOI: 10.1137/050628519. Publication link: 2053e850-2160-4009-a438-cc8c704aa327
• Higham, N. J., Mackey, D. S., Mackey, N., & Tisseur, F. (2006). Symmetric linearizations for matrix polynomials. SIAM Journal on Matrix Analysis and Applications, 29(1), 143-159. DOI: 10.1137/050646202. Publication link: 35a2aba4-b671-46c3-a1ef-393026a4af48
• Bini, D. A., Gemignani, L., & Tisseur, F. (2006). The Ehrlich-aberth method for the nonsymmetric tridiagonal eigenvalue problem. SIAM Journal on Matrix Analysis and Applications, 27(1), 153-175. DOI: 10.1137/S0895479803429788. Publication link: 4d67a668-7b32-4cba-9d19-873eb9e1d19f
• Tisseur, F., & Graillat, S. (2006). Structured condition numbers and backward errors in scalar product spaces. Electronic Journal of Linear Algebra, 15, 159-177. . Publication link: f8d0d91c-7d50-4389-92e2-11feea892a12
• Higham, N. J., Mackey, D. S., & Tisseur, F. (2006). The conditioning of linearizations of matrix polynomials. SIAM Journal on Matrix Analysis and Applications, 28(4), 1005-1028. DOI: 10.1137/050628283. Publication link: e30a8b54-7c0c-4e87-ab80-6ba247cdb149

2005

• Tisseur, F. (2005). Tridiagonal-diagonal reduction of symmetric indefinite pairs. SIAM Journal on Matrix Analysis and Applications, 26(1), 215-232. DOI: 10.1137/S0895479802414783. Publication link: 199a7131-ed48-4bd3-88c9-bf1d736ddf03
• Higham, N. J., Mackey, D. S., Mackey, N., & Tisseur, F. (2005). Functions preserving matrix groups and iterations for the matrix square root. SIAM Journal on Matrix Analysis and Applications, 26(3), 849-877. DOI: 10.1137/S0895479804442218. Publication link: 67ed2bc1-df72-4203-b2c5-413cbaa90391
• Mackey, D. S., Mackey, N., & Tisseur, F. (2005). Structured factorizations in scalar product spaces. SIAM Journal on Matrix Analysis and Applications, 27(3), 821-850. DOI: 10.1137/040619363. Publication link: cf5aa44c-a354-4251-aeb1-230270dfc6a6

2004

• Mackey, D. S., Mackey, N., & Tisseur, F. (2004). double struct G sign-reflectors: Analogues of Householder transformations in scalar product spaces. Linear Algebra and Its Applications, 385(1-3), 187-213. DOI: 10.1016/j.laa.2003.07.009. Publication link: 6a2e101b-fcf6-4206-80a8-d704c4ba4df0
• Higham, N. J., Mackey, D. S., Mackey, N., & Tisseur, F. (2004). Computing the polar decomposition and the matrix sign decomposition in matrix groups. SIAM Journal on Matrix Analysis and Applications, 25(4), 1178-1192. DOI: 10.1137/S0895479803426644. Publication link: 27414ce9-5613-48b5-95c3-99874966470d

2003

• Dedieu, J. P., Kim, M. H., Shub, M., & Tisseur, F. (2003). Implicit gamma theorems (I): Pseudoroots and pseudospectra. Foundations of Computational Mathematics, 3(1), 1-31. DOI: 10.1007/s10208-001-0049-z. Publication link: dc99bd80-afe2-4b5c-935c-537c5f5f9e0b
• Dedieu, J. P., & Tisseur, F. (2003). Perturbation theory for homogeneous polynomial eigenvalue problems. Linear Algebra and Its Applications, 358(1-3), 71-94. DOI: 10.1016/S0024-3795(01)00423-2. Publication link: f7cf900e-c306-4aaf-83b8-13738dab17a7
• Higham, N. J., & Tisseur, F. (2003). Bounds for eigenvalues of matrix polynomials. Linear Algebra and Its Applications, 358(1-3), 5-22. DOI: 10.1016/S0024-3795(01)00316-0. Publication link: f556a5a7-d444-4dc0-a59d-24e1e8b111f3
• Tisseur, F. (2003). A chart of backward errors for singly and doubly structured eigenvalue problems. SIAM Journal on Matrix Analysis and Applications, 24(3), 877-897. DOI: 10.1137/S089547980139995X. Publication link: 7bcb48d9-0a16-4341-a106-572a154fe447
• Garvey, S. D., Tisseur, F., Friswell, M. I., Penny, J. E. T., & Prells, U. (2003). Simultaneous tridiagonalization of two symmetric matrices. International Journal for Numerical Methods in Engineering, 57(12), 1643-1660. DOI: 10.1002/nme.733. Publication link: 98b51311-dcc8-434f-8f6a-a328c355b833

2002

• Tisseur, F. (2002). Stability of structured Hamiltonian eigensolvers. SIAM Journal on Matrix Analysis and Applications, 23(1), 103-125. DOI: 10.1137/S0895479800368007. Publication link: 1a7702a8-96fa-44c1-b606-d4752ee464ce
• Higham, N. J., & Tisseur, F. (2002). More on pseudospectra for polynomial eigenvalue problems and applications in control theory. LINEAR ALGEBRA AND ITS APPLICATIONS, 351, 435-453. DOI: 10.1016/S0024-3795(01)00542-0. Publication link: 5bbd754d-47da-4f2b-a5fd-dd37ebc3394d
• Davies, P. I., Higham, N. J., & Tisseur, F. (2002). Analysis of the Cholesky method with iterative refinement for solving the symmetric definite generalized eigenproblem. SIAM Journal on Matrix Analysis and Applications, 23(2), 472-493. DOI: 10.1137/S0895479800373498. Publication link: 8907d68a-4960-4f68-9aae-040ddb0dc264
• Higham, N. J., Tisseur, F., Van, D. P., & Van Dooren, P. M. (2002). Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems. LINEAR ALGEBRA AND ITS APPLICATIONS, 351, 455-474. DOI: 10.1016/S0024-3795(02)00281-1. Publication link: c150f074-d501-42e2-a35c-74013cc19be9
• Tisseur, F., & Higham, N. J. (2002). Structured pseudospectra for polynomial eigenvalue problems, with applications. SIAM Journal on Matrix Analysis and Applications, 23(1), 187-208. DOI: 10.1137/S0895479800371451. Publication link: c3d55486-29a6-477b-8220-90fbb1f9761a

2001

• Tisseur, F., & K., M. E. E. R. B. E. R. G. E. N. (2001). The Quadratic Eigenvalue Problem. SIAM Review, 43(2). DOI: 10.1137/S0036144500381988. Publication link: 1a69a98f-f774-43c4-b85d-aeb4351c4ae1
• Tisseur, F. (2001). Newton's method in floating point arithmetic and iterative refinement of generalized eigenvalue problems. SIAM Journal on Matrix Analysis and Applications, 22(4), 1038-1057. DOI: 10.1137/S0895479899359837. Publication link: 232b71ca-e379-45f0-bfd1-bb335e86327b

2000

• Higham, N. J., & Tisseur, F. (2000). A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra. SIAM Journal on Matrix Analysis and Applications, 21(4), 1185-1201. . Publication link: cdf1b4db-45a9-48c9-92dd-ff63dc4372a0
• Tisseur, F. (2000). Backward error and condition of polynomial eigenvalue problems. Linear Algebra and Its Applications, 309(1-3), 339-361. . Publication link: f919303a-9183-4c57-a505-1a76bbfd0846

1999

• Tisseur, F., & Dongarra, J. (1999). A parallel divide and conquer algorithm for the symmetric eigenvalue problem on distributed memory architectures. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20. . Publication link: a8202b1b-f35a-4cad-8cf2-577bcfd4f0c0

1997

• Tisseur, F. (1997). Parallel implementation of the Yau and Lu method for eigenvalue computation. International Journal of High Performance Computing Applications, 11(3), 197-204. . Publication link: aac4194f-09d5-4bdc-82ec-ffdfbff11d5d