Authors: Prendiville, Sean

Superior Title: Prendiville , S 2017 , ' Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case ' Discrete Analysis , vol 2017 , no. 5 . DOI:10.19086/da.1282

Subject Terms: Bergelson–Leibman theorem, polynomial Szemerédi, Gowers norms, density bounds

Availability: https://doi.org/10.19086/da.1282
https://www.research.manchester.ac.uk/portal/en/publications/quantitative-bounds-in-the-polynomial-szemeredi-theorem-the-homogeneous-case(91a885af-9ebb-4c74-b416-1b6e905d68eb).html
http://discreteanalysisjournal.com/article/1282-quantitative-bounds-in-the-polynomial-szemeredi-theorem-the-homogeneous-case

Authors: Kahan, Brennan C., Rushton, Helen, Morris, Tim, Daniel, Rhian M.

Superior Title: Kahan , B C , Rushton , H , Morris , T & Daniel , R M 2016 , ' A comparison of methods to adjust for continuous covariates in the analysis of randomised trials ' BMC Medical Research Methodology , vol 16 , 42 . DOI:10.1186/s12874-016-0141-3

Subject Terms: Continuous variables, Covariate adjustment, Fractional polynomials, Randomised controlled trial, Restricted cubic splines, /dk/atira/pure/subjectarea/asjc/2700/2718, Health Informatics, /dk/atira/pure/subjectarea/asjc/2700/2713, Epidemiology

Availability: https://doi.org/10.1186/s12874-016-0141-3
https://www.research.manchester.ac.uk/portal/en/publications/a-comparison-of-methods-to-adjust-for-continuous-covariates-in-the-analysis-of-randomised-trials(aa21a2ca-0d7d-4a8c-9096-64b7e5210649).html
http://www.scopus.com/inward/record.url?scp=84963811790&partnerID=8YFLogxK

Authors: Nadarajah, Saralees

Superior Title: Nadarajah , S 2016 , ' Asymptotic expansions for bivariate normal extremes ' Statistics and Probability Letters , vol 119 , pp. 124-133 . DOI:10.1016/j.spl.2016.07.023

Subject Terms: Bell polynomials, Bivariate normal distribution, Expansions, /dk/atira/pure/subjectarea/asjc/2600/2613, Statistics and Probability, /dk/atira/pure/subjectarea/asjc/1800/1804, Statistics, Probability and Uncertainty

File Description: application/pdf

Availability: https://doi.org/10.1016/j.spl.2016.07.023
https://www.research.manchester.ac.uk/portal/en/publications/asymptotic-expansions-for-bivariate-normal-extremes(e6a57d1b-6fc3-45dc-95a1-b38b044e9abb).html
https://pure.manchester.ac.uk/ws/files/56793552/expbivnormal.pdf
http://www.scopus.com/inward/record.url?scp=84982140597&partnerID=8YFLogxK

Authors: Brown, L, Donev, A. N., Bissett, A.

Superior Title: Brown , L , Donev , A N & Bissett , A 2015 , ' General Blending Models for Data From Mixture Experiments ' Technometrics , vol 57 , no. 4 , pp. 449-456 . DOI:10.1080/00401706.2014.947003

Subject Terms: Becker’s models, Scheffé polynomials, model selection, nonlinear models

File Description: application/octet-stream

Availability: https://doi.org/10.1080/00401706.2014.947003
https://www.research.manchester.ac.uk/portal/en/publications/general-blending-models-for-data-from-mixture-experiments(97e47ff7-d7b3-42c2-9646-cf142354cf5d).html
https://pure.manchester.ac.uk/ws/files/27268202/POST-PEER-REVIEW-PUBLISHERS.PDF

Authors: Al-Mohy, Awad H., Higham, Nicholas J.

Superior Title: Al-Mohy , A H & Higham , N J 2011 , ' Computing the action of the matrix exponential, with an application to exponential integrators ' SIAM Journal on Scientific Computing , vol 33 , no. 2 , pp. 488-511 . DOI:10.1137/100788860

Subject Terms: φ functions, Backward error analysis, Chebyshev polynomial, Condition number, Expm, Exponential integrator, Krylov method, Laguerre polynomial, MATLAB, Matrix exponential, ODE, Ordinary differential equation, Overscaling, Taylor series, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2605, Computational Mathematics

File Description: application/octet-stream

Availability: https://doi.org/10.1137/100788860
https://www.research.manchester.ac.uk/portal/en/publications/computing-the-action-of-the-matrix-exponential-with-an-application-to-exponential-integrators(624fcef4-0d2c-4a57-8cb5-aad8437b5649).html
https://pure.manchester.ac.uk/ws/files/24981097/POST-PEER-REVIEW-PUBLISHERS.PDF

Authors: Berljafa, Mario, Wortmann, Daniel, Di Napoli, Edoardo

Superior Title: Berljafa , M , Wortmann , D & Di Napoli , E 2014 , ' An Optimized and Scalable Eigensolver for Sequences of Eigenvalue Problems ' Unknown Journal . DOI:10.1002/cpe.3394

Subject Terms: Chebyshev polynomials, Subspace Iteration, Eigenproblem Sequence, Density Functional Theory, Elemental

Availability: https://doi.org/10.1002/cpe.3394
https://www.research.manchester.ac.uk/portal/en/publications/an-optimized-and-scalable-eigensolver-for-sequences-of-eigenvalue-problems(503c8e1e-ba52-4e58-9e83-6599538f649d).html

Authors: Ding, Zhengtao

Superior Title: Ding , Z 2012 , ' Observer design in convergent series for a class of nonlinear systems ' IEEE Transactions on Automatic Control , vol 57 , no. 7 , 6097026 , pp. 1849-1854 . DOI:10.1109/TAC.2011.2178880

Subject Terms: Convergence analysis, nonlinear systems, observer design, polynomial approximation, /dk/atira/pure/subjectarea/asjc/2200/2208, Electrical and Electronic Engineering, /dk/atira/pure/subjectarea/asjc/2200/2207, Control and Systems Engineering, /dk/atira/pure/subjectarea/asjc/1700/1706, Computer Science Applications

File Description: application/octet-stream

Availability: https://doi.org/10.1109/TAC.2011.2178880
https://www.research.manchester.ac.uk/portal/en/publications/observer-design-in-convergent-series-for-a-class-of-nonlinear-systems(5077d9ed-e019-487d-ae10-88c159885a7f).html
https://pure.manchester.ac.uk/ws/files/22107312/POST-PEER-REVIEW-PUBLISHERS.PDF
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6097026

Authors: Noferini, Vanni, Perez Alvaro, Javier

Superior Title: Noferini , V & Perez Alvaro , J 2016 , ' Fiedler-Comrade and Fiedler-Chebyshev pencils ' SIAM Journal on Matrix Analysis and Applications , vol 37 , no. 4 , pp. 1600-1624 . DOI:10.1137/16M1055943

Subject Terms: Chebyshev polynomial, Eigenvector recovery, Fiedler pencil, Linearization, Matrix polynomial, Minimal basis, Minimal indices, Singular matrix polynomial, /dk/atira/pure/subjectarea/asjc/2600/2603, Analysis

Availability: https://doi.org/10.1137/16M1055943
https://www.research.manchester.ac.uk/portal/en/publications/fiedlercomrade-and-fiedlerchebyshev-pencils(5eda7264-b222-408c-b65a-45be5e3ab678).html
http://www.scopus.com/inward/record.url?scp=85011822010&partnerID=8YFLogxK

Authors: Van Barel, Marc, Tisseur, Francoise

Superior Title: 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

Subject Terms: Polynomial eigenvalue problem, Linearization, tropical scaling, Well-separated tropical roots, Block companion linearization, Lagrange-type linearization

Availability: https://doi.org/10.1016/j.laa.2017.04.025
https://www.research.manchester.ac.uk/portal/en/publications/polynomial-eigenvalue-solver-based-on-tropically-scaled-lagrange-linearization(2d15f7a3-a8e0-4bf0-98ac-7316d0468071).html

Authors: Al-Ammari, Maha, Tisseur, Franoise

Superior Title: Al-Ammari , M & Tisseur , F 2012 , ' Hermitian matrix polynomials with real eigenvalues of definite type. Part I: Classification ' Linear Algebra and Its Applications , vol 436 , no. 10 , pp. 3954-3973 . DOI:10.1016/j.laa.2010.08.035

Subject Terms: Definite matrix polynomial, Definite pencil, Definitizable pencil, Eigenvalue type, Gyroscopic system, Hermitian matrix polynomial, Homogeneous rotation, Hyperbolic matrix polynomial, Overdamped system, Polynomial eigenvalue problem, Quadratic eigenvalue problem, Quasihyperbolic matrix polynomial, Sign characteristic, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/j.laa.2010.08.035
https://www.research.manchester.ac.uk/portal/en/publications/hermitian-matrix-polynomials-with-real-eigenvalues-of-definite-type-part-i-classification(251af1f8-2106-4400-9e38-68ca01020bb6).html

Authors: Al-Ammari, Maha, Tisseur, Françoise

Superior Title: Al-Ammari , M & Tisseur , F 2012 , ' Standard triples of structured matrix polynomials ' Linear Algebra and Its Applications , vol 437 , no. 3 , pp. 817-834 . DOI:10.1016/j.laa.2012.03.020

Subject Terms: Even matrix polynomial, Hermitian matrix polynomial, Jordan triple, Odd matrix polynomial, Palindromic matrix polynomial, Standard triple, Structured matrix polynomial, Symmetric matrix polynomial, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/j.laa.2012.03.020
https://www.research.manchester.ac.uk/portal/en/publications/standard-triples-of-structured-matrix-polynomials(784715b8-60a1-4fe4-bc40-7cd351438337).html

Authors: Higham, Nicholas J., MacKey, D. Steven, Tisseur, Frančoise

Superior Title: 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 , vol 31 , no. 2 , pp. 478-502 . DOI:10.1137/080721406

Subject Terms: Definite pencil, Hyperbolic matrix polynomial, Matrix pencil, Matrix polynomial, Polynomial eigenvalue problem, Quadratic eigenvalue problem, Structure-preserving linearization, /dk/atira/pure/subjectarea/asjc/2600/2603, Analysis

Availability: https://doi.org/10.1137/080721406
https://www.research.manchester.ac.uk/portal/en/publications/definite-matrix-polynomials-and-their-linearization-by-definite-pencils(abc56e57-8368-441d-a47f-b807df923f58).html
http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SJMAEL000031000002000478000001&idtype=cvips

Authors: Higham, Nicholas J., Tisseur, Françoise

Superior Title: Higham , N J & Tisseur , F 2003 , ' Bounds for eigenvalues of matrix polynomials ' Linear Algebra and Its Applications , vol 358 , no. 1-3 , pp. 5-22 . DOI:10.1016/S0024-3795(01)00316-0

Subject Terms: λ-Matrix, Block companion matrix, Gershgorin's theorem, Matrix polynomial, Numerical radius, Polynomial eigenvalue problem, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/S0024-3795(01)00316-0
https://www.research.manchester.ac.uk/portal/en/publications/bounds-for-eigenvalues-of-matrix-polynomials(f556a5a7-d444-4dc0-a59d-24e1e8b111f3).html

Authors: Dedieu, Jean Pierre, Tisseur, Françoise

Superior Title: Dedieu , J P & Tisseur , F 2003 , ' Perturbation theory for homogeneous polynomial eigenvalue problems ' Linear Algebra and Its Applications , vol 358 , no. 1-3 , pp. 71-94 . DOI:10.1016/S0024-3795(01)00423-2

Subject Terms: Condition number, Matrix polynomial, Polynomial eigenvalue problem, Quadratic eigenvalue problem, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/S0024-3795(01)00423-2
https://www.research.manchester.ac.uk/portal/en/publications/perturbation-theory-for-homogeneous-polynomial-eigenvalue-problems(f7cf900e-c306-4aaf-83b8-13738dab17a7).html

Authors: Tisseur, Françoise, Higham, Nicholas J.

Superior Title: Tisseur , F & Higham , N J 2002 , ' Structured pseudospectra for polynomial eigenvalue problems, with applications ' SIAM Journal on Matrix Analysis and Applications , vol 23 , no. 1 , pp. 187-208 . DOI:10.1137/S0895479800371451

Subject Terms: λ-matrix, Backward error, Matrix polynomial, Orr-Sommerfeld equation, Polynomial eigenvalue problem, Pseudospectrum, Quadratic matrix equation, Solvent, Stability radius, Structured perturbations, Transfer function, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2603, Analysis, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics

Availability: https://doi.org/10.1137/S0895479800371451
https://www.research.manchester.ac.uk/portal/en/publications/structured-pseudospectra-for-polynomial-eigenvalue-problems-with-applications(c3d55486-29a6-477b-8220-90fbb1f9761a).html

Authors: Lancaster, Peter, Tisseur, Franoise

Superior Title: Lancaster , P & Tisseur , F 2012 , ' Hermitian quadratic matrix polynomials: Solvents and inverse problems ' Linear Algebra and Its Applications , vol 436 , no. 10 , pp. 4017-4026 . DOI:10.1016/j.laa.2010.06.047

Subject Terms: Eigenvalue type, Hermitian quadratic matrix polynomial, Inverse problem, Quadratic eigenvalue problem, Sign characteristic, Solvent, Vibrating systems, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/j.laa.2010.06.047
https://www.research.manchester.ac.uk/portal/en/publications/hermitian-quadratic-matrix-polynomials-solvents-and-inverse-problems(ba052ab1-b99a-4bd8-8d08-d085a909a333).html

Authors: Han, Xingsi, Sagaut, Pierre, Lucor, Didier, Afgan, Imran

Superior Title: Han , X , Sagaut , P , Lucor , D & Afgan , I 2012 , ' Stochastic response of the laminar flow past a flat plate under uncertain inflow conditions ' International Journal of Computational Fluid Dynamics , vol 26 , no. 2 , pp. 101-117 . DOI:10.1080/10618562.2012.655687

Subject Terms: direct numerical simulation, inflow conditions, laminar flow, polynomial chaos, uncertainty quantification, vortex shedding, /dk/atira/pure/subjectarea/asjc/2200/2206, Computational Mechanics, /dk/atira/pure/subjectarea/asjc/2200/2202, Aerospace Engineering, /dk/atira/pure/subjectarea/asjc/2100/2102, Energy Engineering and Power Technology, /dk/atira/pure/subjectarea/asjc/2200/2211, Mechanics of Materials, /dk/atira/pure/subjectarea/asjc/3100/3104, Condensed Matter Physics, /dk/atira/pure/subjectarea/asjc/2200/2210, Mechanical Engineering, /dk/atira/pure/core/keywords/library/01/06, Modelling and Simulation

Availability: https://doi.org/10.1080/10618562.2012.655687
https://www.research.manchester.ac.uk/portal/en/publications/stochastic-response-of-the-laminar-flow-past-a-flat-plate-under-uncertain-inflow-conditions(fc10ef14-a694-4c4a-b9e0-7d49a70f7b93).html

Authors: Groves, K. H., Bonello, P., Hai, P. M.

Superior Title: Groves , K H , Bonello , P & Hai , P M 2012 , ' Efficient dynamic analysis of a whole aeroengine using identified nonlinear bearing models ' Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science , vol 226 , no. 1 , pp. 66-81 . DOI:10.1177/0954406211412319

Subject Terms: Aeroengine, Chebyshev polynomials, Nonlinear dynamics, Rotordynamics, Squeeze-film damper, System identification, /dk/atira/pure/subjectarea/asjc/2200/2210, Mechanical Engineering, /dk/atira/pure/core/keywords/library/01/01, Aerospace Engineering

Availability: https://doi.org/10.1177/0954406211412319
https://www.research.manchester.ac.uk/portal/en/publications/efficient-dynamic-analysis-of-a-whole-aeroengine-using-identified-nonlinear-bearing-models(a820ec89-77f0-46e6-a526-c1f5724a2969).html

Authors: Eiermann, M., Ernst, O. G., Güttel, S.

Superior Title: Eiermann , M , Ernst , O G & Güttel , S 2011 , ' Deflated restarting for matrix functions ' SIAM Journal on Matrix Analysis and Applications , vol 32 , no. 2 , pp. 621-641 . DOI:10.1137/090774665

Subject Terms: Deflated restarting, Implicitly restarted Arnoldi/Lanczos method, Krylov subspace approximation, Matrix function, Polynomial interpolation, Restarted Krylov subspace method, Thick restarting, /dk/atira/pure/subjectarea/asjc/2600/2603, Analysis

Availability: https://doi.org/10.1137/090774665
https://www.research.manchester.ac.uk/portal/en/publications/deflated-restarting-for-matrix-functions(fed3e6b3-d893-44ef-b730-6c59cc11984f).html

Authors: Grammont, Laurence, Higham, Nicholas J., Tisseur, Franoise

Superior Title: Grammont , L , Higham , N J & Tisseur , F 2011 , ' A framework for analyzing nonlinear eigenproblems and parametrized linear systems ' Linear Algebra and Its Applications , vol 435 , no. 3 , pp. 623-640 . DOI:10.1016/j.laa.2009.12.038

Subject Terms: Backward error, Companion form, Linearization, Nonlinear eigenvalue problem, Parametrized linear system, Polynomial eigenvalue problem, Quadratization, Rational eigenvalue problem, Scaling, /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology, /dk/atira/pure/subjectarea/asjc/2600/2612, Numerical Analysis

Availability: https://doi.org/10.1016/j.laa.2009.12.038
https://www.research.manchester.ac.uk/portal/en/publications/a-framework-for-analyzing-nonlinear-eigenproblems-and-parametrized-linear-systems(f3c77ccf-f3b9-480a-a2ed-b4bd93ff7cb5).html