Authors: Chahlaoui, Y.

Superior Title: Chahlaoui , Y 2012 , ' A posteriori error bounds for discrete balanced truncation ' Linear Algebra and Its Applications , vol 436 , no. 8 , pp. 2744-2763 . DOI:10.1016/j.laa.2011.07.025

Subject Terms: H 2-norm, A posteriori error bound, Balanced truncation, Gramians, Model reduction, Stein equations, /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

File Description: application/octet-stream

Availability: https://doi.org/10.1016/j.laa.2011.07.025
https://www.research.manchester.ac.uk/portal/en/publications/a-posteriori-error-bounds-for-discrete-balanced-truncation(1e784da0-5303-4f4f-9cdd-7e8763e294b8).html
https://pure.manchester.ac.uk/ws/files/43901379/POST-PEER-REVIEW-NON-PUBLISHERS.PDF

Authors: Navarro-López, Eva María

Superior Title: Navarro-López , E M 2007 , ' QSS-dissipativity and feedback QS-passivity of nonlinear discrete-time systems ' Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms , vol 14 , no. 1 , pp. 47-63 .

Subject Terms: Discrete-time systems, Dissipativity, Feedback passivity, Feedback stabilization, Nonlinear systems, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

File Description: application/octet-stream

Availability: https://www.research.manchester.ac.uk/portal/en/publications/qssdissipativity-and-feedback-qspassivity-of-nonlinear-discretetime-systems(675494ff-f825-4925-bd9f-49012327b526).html
https://pure.manchester.ac.uk/ws/files/29043031/POST-PEER-REVIEW-PUBLISHERS-DOCUMENT.PDF
http://www.cs.manchester.ac.uk/~navarroe/papers/enavarro_dcdisb07.pdf

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: 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: 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: Silvester, David J., Bespalov, Alex, Powell, Catherine E.

Superior Title: Silvester , D J , Bespalov , A & Powell , C E 2012 , ' A framework for the development of implicit solvers for incompressible flow problems ' Discrete and Continuous Dynamical Systems - Series S , vol 5 , no. 6 , pp. 1195-1221 . DOI:10.3934/dcdss.2012.5.1195

Subject Terms: Algebraic multigrid, Boussinesq, Finite element approximation, Implicit time stepping, Navier-Stokes, Preconditioning, Stochastic Galerkin approximation, /dk/atira/pure/subjectarea/asjc/2600/2603, Analysis, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://doi.org/10.3934/dcdss.2012.5.1195
https://www.research.manchester.ac.uk/portal/en/publications/a-framework-for-the-development-of-implicit-solvers-for-incompressible-flow-problems(78fae308-1e47-4c7b-a091-5d6b515b882c).html
http://aimsciences.org/journals/pdfs.jsp?paperID=7581&mode=full

Authors: Boshnakov, Georgi N.

Superior Title: Boshnakov , G N 2011 , ' On first and second order stationarity of random coefficient models ' Linear Algebra and Its Applications , vol 434 , no. 2 , pp. 415-423 . DOI:10.1016/j.laa.2010.09.023

Subject Terms: Extended Stein's equation, Mixture AR models, Mixture PAR models, Random coefficient models, Stein's equation, /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.2010.09.023
https://www.research.manchester.ac.uk/portal/en/publications/on-first-and-second-order-stationarity-of-random-coefficient-models(4e8f9cc1-1e8d-47e0-8f79-6250220a8926).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

Authors: Tisseur, Franoise, Garvey, Seamus D., Munro, Christopher

Superior Title: Tisseur , F , Garvey , S D & Munro , C 2011 , ' Deflating quadratic matrix polynomials with structure preserving transformations ' Linear Algebra and Its Applications , vol 435 , no. 3 , pp. 464-479 . DOI:10.1016/j.laa.2010.06.028

Subject Terms: Deflation, Linearization, Quadratic eigenvalue problem, Structure preserving transformation, /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.2010.06.028
https://www.research.manchester.ac.uk/portal/en/publications/deflating-quadratic-matrix-polynomials-with-structure-preserving-transformations(ae61ad80-1c4d-4f89-8900-ef3cb999f60d).html

Authors: Griffiths, Martin

Superior Title: Griffiths , M 2011 , ' Remodified bessel functions via coincidences and near coincidences ' Journal of Integer Sequences , vol 14 , no. 7 .

Subject Terms: Bessel functions, Linear differential equations, Poisson distributions, Stirling numbers of the second kind, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://www.research.manchester.ac.uk/portal/en/publications/remodified-bessel-functions-via-coincidences-and-near-coincidences(9c9c72f9-1c92-45d7-bf62-6334d2af6aea).html
http://www.cs.uwaterloo.ca/journals/JIS/VOL14/Griffiths2/griffiths17.pdf

Authors: Higham, Nicholas J., Lin, Lijing

Superior Title: Higham , N J & Lin , L 2011 , ' On pth roots of stochastic matrices ' Linear Algebra and Its Applications , vol 435 , no. 3 , pp. 448-463 . DOI:10.1016/j.laa.2010.04.007

Subject Terms: Embeddability problem, Inverse eigenvalue problem, M-matrix, Markov chain, Matrix pth root, Nonnegative matrix, Nonprimary matrix function, Perron-Frobenius theorem, Primary matrix function, Stochastic matrix, Transition matrix, /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.2010.04.007
https://www.research.manchester.ac.uk/portal/en/publications/on-pth-roots-of-stochastic-matrices(614605e1-2eb3-42a9-b482-62fc1c794a3b).html

Authors: Griffiths, Martin

Superior Title: Griffiths , M 2011 , ' A restricted random walk defined via a Fibonacci process ' Journal of Integer Sequences , vol 14 , no. 5 , pp. 1-11 .

Subject Terms: Fibonacci numbers, Generating functions, Probabilities, Random walks, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://www.research.manchester.ac.uk/portal/en/publications/a-restricted-random-walk-defined-via-a-fibonacci-process(0a9a2660-9b07-443d-830b-6a4bfdc45e50).html
http://www.cs.uwaterloo.ca/journals/JIS/VOL14/Griffiths/griffiths16.pdf

Authors: Griffiths, Martin, Mezo, István

Superior Title: Griffiths , M & Mezo , I 2010 , ' A generalization of stirling numbers of the second kind via a special multiset ' Journal of Integer Sequences , vol 13 , no. 2 , pp. 1-23 .

Subject Terms: Bell numbers, Generating functions, Multisets, Partitions, Recurrence relations, Stirling numbers of the second kind, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://www.research.manchester.ac.uk/portal/en/publications/a-generalization-of-stirling-numbers-of-the-second-kind-via-a-special-multiset(108bdff3-1c19-467e-b4b7-1489bcfbd459).html
http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Griffiths/griffiths11.pdf

Authors: Ding, Zhengtao

Superior Title: Ding , Z 2010 , ' Asymptotic rejection of unmatched nonlinear disturbances for a class of nonlinear output-feedback systems ' Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms , vol 17 , no. 6 , pp. 825-838 .

Subject Terms: Disturbance rejection, Internal model, Nonlinear control, Nonlinear systems, Output feedback, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://www.research.manchester.ac.uk/portal/en/publications/asymptotic-rejection-of-unmatched-nonlinear-disturbances-for-a-class-of-nonlinear-outputfeedback-systems(ca4bc1b8-56fb-4d61-8d15-3e82918cdf13).html
http://dcdis001.watam.org/volumes/fulltext-b-pdf/2010v17/v17n6b-pdf/825-838arund0709f.pdf

Authors: Griffiths, Martin

Superior Title: Griffiths , M 2009 , ' Generalized near-bell numbers ' Journal of Integer Sequences , vol 12 , no. 5 .

Subject Terms: Bell numbers, Exponential generating functions, Multisets, Near-bell numbers, Ordinary generating functions, Partitions, Recurrence relations, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://www.research.manchester.ac.uk/portal/en/publications/generalized-nearbell-numbers(3abdf05b-0c75-4cb9-bf92-6f04f9b6d662).html
http://www.cs.uwaterloo.ca/journals/JIS/VOL12/Griffiths/griffiths7.pdf

Authors: Ryaben'kii, V. S., Utyuzhnikov, S. V., Turan, A.

Superior Title: Ryaben'kii , V S , Utyuzhnikov , S V & Turan , A 2008 , ' On the application of difference potential theory to active noise control ' Advances in Applied Mathematics , vol 40 , no. 2 , pp. 194-211 . DOI:10.1016/j.aam.2006.11.003

Subject Terms: Acoustics, Active shielding, Difference potentials, Green's function, Noise control, /dk/atira/pure/subjectarea/asjc/2600/2604, Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/core/keywords/library/01/01, Aerospace Engineering

Availability: https://doi.org/10.1016/j.aam.2006.11.003
https://www.research.manchester.ac.uk/portal/en/publications/on-the-application-of-difference-potential-theory-to-active-noise-control(701cfd44-f264-4d12-8f7e-42b5ea3f9c8f).html

Authors: Bryant, R. M., Johnson, Marianne

Superior Title: Bryant , R M & Johnson , M 2008 , ' Lie powers and Witt vectors ' Journal of Algebraic Combinatorics , vol 28 , no. 1 , pp. 169-187 . DOI:10.1007/s10801-007-0117-9

Subject Terms: Free Lie algebra, Lie power, Tensor power, Witt vector, /dk/atira/pure/subjectarea/asjc/2600, Mathematics(all), /dk/atira/pure/subjectarea/asjc/2600/2602, Algebra and Number Theory, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics

Availability: https://doi.org/10.1007/s10801-007-0117-9
https://www.research.manchester.ac.uk/portal/en/publications/lie-powers-and-witt-vectors(542316a2-fee9-48ca-bb59-40c7abc9a190).html

Authors: Johnson, Marianne

Superior Title: Johnson , M 2007 , ' Standard tableaux and Klyachko's theorem on Lie representations ' Journal of Combinatorial Theory. Series A , vol 114 , no. 1 , pp. 151-158 . DOI:10.1016/j.jcta.2006.02.002

Subject Terms: Free Lie algebra, Lie representation, Standard tableau, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2614, Theoretical Computer Science

Availability: https://doi.org/10.1016/j.jcta.2006.02.002
https://www.research.manchester.ac.uk/portal/en/publications/standard-tableaux-and-klyachkos-theorem-on-lie-representations(91788c4d-e642-41c2-bf9c-694935e749ea).html

Authors: McCormick, Rosemary A., James, Karen M., Willetts, Nigel, Procter, David J.

Superior Title: McCormick , R A , James , K M , Willetts , N & Procter , D J 2006 , ' Developing new cleavage strategies in a fluorous phase pummerer cyclative-capture approach for the synthesis of N-heterocycles ' QSAR and Combinatorial Science , vol 25 , no. 8-9 , pp. 709-712 . DOI:10.1002/qsar.200640050

Subject Terms: Fluorous phase, Linkers, Oxidative cleavage, Pummerer, Sulfur, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/3000/3004, Pharmacology

Availability: https://doi.org/10.1002/qsar.200640050
https://www.research.manchester.ac.uk/portal/en/publications/developing-new-cleavage-strategies-in-a-fluorous-phase-pummerer-cyclativecapture-approach-for-the-synthesis-of-nheterocycles(ca44b315-115b-4871-9700-c10112b6e56c).html

Authors: Megyesi, Gábor, Sottile, Frank

Superior Title: Megyesi , G & Sottile , F 2005 , ' The envelope of lines meeting a fixed line and tangent to two spheres ' Discrete and Computanional Geometry , vol 33 , no. 4 , pp. 617-644 . DOI:10.1007/s00454-005-1160-8

Subject Terms: /dk/atira/pure/subjectarea/asjc/2600/2614, Theoretical Computer Science, /dk/atira/pure/subjectarea/asjc/1700/1703, Computational Theory and Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2607, Discrete Mathematics and Combinatorics, /dk/atira/pure/subjectarea/asjc/2600/2608, Geometry and Topology

Availability: https://doi.org/10.1007/s00454-005-1160-8
https://www.research.manchester.ac.uk/portal/en/publications/the-envelope-of-lines-meeting-a-fixed-line-and-tangent-to-two-spheres(e3f0d68e-6983-4f7b-8f69-39f8279eaa13).html