Computing the rank and a small nullspace basis of a polynomial matrix

Συγγραφείς: Storjohann, Arne, Villard, Gilles

Πηγή: Proceedings of the 2005 international symposium on Symbolic and algebraic computation. :309-316

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/1073884.1073927

New Properties of ARE Solutions for Strictly Dissipative and Lossless Systems

Συγγραφείς: Bhawal, Chayan^Aff7, Kumar, Sandeep^Aff7, Pal, Debasattam^Aff7, Belur, Madhu N.^Aff7

Συνεισφορές: Allgöwer, Frank, Series editor^Aff1, Morari, Manfred, Series editor^Aff2, Belur, Madhu N., editor^Aff3, Camlibel, M. Kanat, editor^Aff4, Rapisarda, Paolo, editor^Aff5, Scherpen, Jacquelien M.A., editor^Aff6

Πηγή: Mathematical Control Theory II : Behavioral Systems and Robust Control. 462:81-99

Numerical computation of minimal polynomial bases: A generalized resultant approach: Numerical computation of minimal polynomial bases: a generalized resultant approach

Συγγραφείς: Antoniou, E.N., Vardulakis, A.I.G., Vologiannidis, S.

Πηγή: Linear Algebra and its Applications. 405:264-278

Θεματικοί όροι: Μέθοδοι ορθογωνιοποίησης, Numerical analysis programs, 0209 industrial biotechnology, Canonical forms, reductions, classification, resultant based method, Ανάλυση πεπερασμένων στοιχείων, Polynomial matrix description (PMDs), 02 engineering and technology, Sylvester resultants, Ορθογωνιοποίηση (Αριθμητική ανάλυση), Πολυώνυμες μέθοδοι, 01 natural sciences, Minimal polynomial basis, Matrices over function rings in one or more variables, Γραμμικές διαφορικές εξισώσεις, Αριθμητικοί υπολογισμοί—Προγράμματα υπολογιστών, Polynomial matrices, Discrete Mathematics and Combinatorics, Matrices—Data processing, 0101 mathematics, polynomial matrix, Polynomial methods, Orthogonalization methods, Numerical Analysis, algorithm, Algebra and Number Theory, Orthogonal transformation, Other matrix algorithms, Finite element analysis, Διαφορικές εξισώσεις—Αριθμητικές λύσεις, Matrix fraction description, Προγράμματα αριθμητικής ανάλυσης, Differential equations—Numerical solutions, Ορθογώνιος μετασχηματισμός, Numerical calculations—Computer programs, matrix fraction description, Πολυώνυμοι πίνακες, Πολυώνυμη περιγραφή πίνακα, minimal polynomial basis, Geometry and Topology, Αριθμητική ανάλυση, Orthogonalization (Numerical analysis), Linear differential equations, Πίνακες—Επεξεργασία δεδομένων, Numerical analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189262
https://doi.org/10.1016/j.laa.2005.03.017

A robust solution of the generalized polynomial Bezout identity: A robust solution of the generalized polynomial Bézout identity

Συγγραφείς: Basilio, J.C., Moreira, M.V.

Πηγή: Linear Algebra and its Applications. 385:287-303

Θεματικοί όροι: numerical examples, Numerical Analysis, 0209 industrial biotechnology, Numerical solutions to overdetermined systems, pseudoinverses, Algebra and Number Theory, Other matrix algorithms, 02 engineering and technology, robust algorithm, Generalized Bezout identity, Matrix polynomials, Minimal polynomial basis, Matrix fraction description, Matrices over function rings in one or more variables, matrix fraction description, matrix polynomials, minimal polynomial basis, generalized Bézout identity, 0202 electrical engineering, electronic engineering, information engineering, singular value decompositions, Discrete Mathematics and Combinatorics, Geometry and Topology

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2083517
https://doi.org/10.1016/j.laa.2003.11.030

The GL2,R-comitants for the homogeneous bidimensional polynomial system of differential equations of the fourth degree

Συγγραφείς: Ciubotaru, S.S.

Πηγή: Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice) 112 (2) 3-11

Θεματικοί όροι: polynomial systems of differential equations, comitants, invariants, transvectants, minimal polynomial basis

Περιγραφή αρχείου: application/pdf

Relation: https://ibn.idsi.md/vizualizare_articol/67684; urn:issn:18572073

Διαθεσιμότητα: https://ibn.idsi.md/vizualizare_articol/67684

THE GL(2,R)-COMITANTS FOR THE HOMOGENEOUS BIDIMENSIONAL POLYNOMIAL SYSTEM OF DIFFERENTIAL EQUATIONS OF THE FOURTH DEGREE

Συγγραφείς: Stanislav CIUBOTARU

Πηγή: Studia Universitatis Moldaviae: Stiinte Exacte si Economice, Vol 0, Iss 2 (112) (2018)

Θεματικοί όροι: polynomial systems of differential equations, comitants, invariants, transvectants, minimal polynomial basis, Science (General), Q1-390, Economics as a science, HB71-74

Relation: http://ojs.studiamsu.eu/index.php/exact-economic/article/view/1229; https://doaj.org/toc/1857-2073; https://doaj.org/toc/2345-1033; https://doaj.org/article/8c95b5398012470b8eaa7af90a527da5

Διαθεσιμότητα: https://doaj.org/article/8c95b5398012470b8eaa7af90a527da5

Minimal polynomial basis of centroaffine comitants of the two-dimensional system of differential equations with nonlinearities of the fourth degree

Συγγραφείς: Ciubotaru, S.S., Calin, I.T.

Πηγή: International Conference of Young Researchers (Ediția 10)

Θεματικοί όροι: system of differential equations, minimal polynomial basis, transvectant, comitants, invariants

Περιγραφή αρχείου: application/pdf

Relation: https://ibn.idsi.md/vizualizare_articol/231919

Διαθεσιμότητα: https://ibn.idsi.md/vizualizare_articol/231919

[Untitled]

Συγγραφείς: Bezout Identity, J. C. Basilio A, M. V. Moreira B

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.dee.ufrj.br/controle_automatico/artigos/linalg2004.pdf.

Θεματικοί όροι: Matrix polynomials, Minimal polynomial basis, Matrix fraction description, Generalized Bezout identity ∗ Corresponding author

Περιγραφή αρχείου: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.4381; http://www.dee.ufrj.br/controle_automatico/artigos/linalg2004.pdf

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.4381
http://www.dee.ufrj.br/controle_automatico/artigos/linalg2004.pdf

Evaluating Some Gain Scheduling Strategies In Diagnosis Of A Tank System

Συγγραφείς: Marcus Klein, Lars Nielsen

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.ps.gz.

Θεματικοί όροι: Nonlinear diagnosis, Minimal polynomial basis, Water-tank system, Residual generation, Null-space redesign

Περιγραφή αρχείου: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.472; http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.ps.gz

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.472
http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.ps.gz

Evaluating Some Gain Scheduling Strategies in Diagnosis of a Tank System

Συγγραφείς: Klein, Marcus, Nielsen, Lars

Πηγή: In IFAC Proceedings Volumes June 2000 33(11):879-884

Numerical computation of a coprime factorization of a transfer function matrix

Συγγραφείς: Beelen, T.G.J., Veltkamp, G.W.

Πηγή: Systems & Control Letters. 9:281-288

Θεματικοί όροι: 0209 industrial biotechnology, algorithm, Canonical forms, reductions, classification, rational transfer function matrix, Canonical structure, Other matrix algorithms, 02 engineering and technology, 01 natural sciences, Factorization of matrices, generalized Schur form, Algebraic methods, matrix pencil, coprime factorization, minimal polynomial basis, 0101 mathematics, Computational methods in systems theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://research.tue.nl/en/publications/15522d99-92a4-4d54-9543-2e6514ff4970
https://doi.org/10.1016/0167-6911(87)90052-1

A new method for computing a column reduced polynomial matrix

Συγγραφείς: Beelen, T.G.J., van den Hurk, G.J.H.H., Praagman, C.

Πηγή: Systems & Control Letters. 10:217-224

Θεματικοί όροι: numerical examples, 0209 industrial biotechnology, Matrices over function rings in one or more variables, Other matrix algorithms, column reduced form, minimal polynomial basis, 02 engineering and technology, 0101 mathematics, algorithms, roundoff errors, polynomial matrix, 01 natural sciences

Περιγραφή αρχείου: application/xml

Numerical computation of minimal polynomial bases: A generalized resultant approach

Συγγραφείς: E. N. Antoniou, A. I. G. Vardulakis, S. Vologiannidis

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf.

Θεματικοί όροι: polynomial matrices, Minimal polynomial basis, Matrix fraction description. AMS classi…cation, 15A33, 15A23, 65F30

Περιγραφή αρχείου: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397; http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397
http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf

EVALUATING SOME GAIN SCHEDULING STRATEGIES IN DIAGNOSIS OF A TANK SYSTEM

Συγγραφείς: Marcus Klein, Lars Nielsen

Συνεισφορές: The Pennsylvania State University CiteSeerX Archives

Πηγή: http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.pdf.

Θεματικοί όροι: Nonlinear diagnosis, Minimal polynomial basis, Water-tank system, Residual generation, Null-space redesign

Περιγραφή αρχείου: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.7556; http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.pdf

Διαθεσιμότητα: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.7556
http://www.fs.isy.liu.se/Publications/Articles/SAFE_00_56_MK.pdf

Computing the rank and a small nullspace basis of a polynomial matrix

Συγγραφείς: Laboratoire de l'informatique du parallélisme, Storjohann, Arne, Villard, Gilles

Πηγή: http://www.ens-lyon.fr/LIP/Pub/Rapports/RR/RR2005/RR2005-03.pdf.

Θεματικοί όροι: Linear algebra, polynomial matrix, matrix multiplication, nullspace basis, minimal polynomial basis, randomized algorithm

Περιγραφή αρχείου: 2+24p; 420284 bytes; 23 bytes; application/pdf; application/octet-stream

Relation: LIP-RR - 2005-03; http://hdl.handle.net/2332/512

Διαθεσιμότητα: http://hdl.handle.net/2332/512

Syzygies between centroaffine invariants of a quadratic differential system

Συγγραφείς: Danilyuk, V. I., Sibirskij, K. S.

Θεματικοί όροι: polynomial centroaffine invariants, minimal polynomial basis, Nonlinear ordinary differential equations and systems

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3751398

Centroaffine comitants of a quadratic-cubic two-dimensional differential system

Συγγραφείς: Danilyuk, V. I.

Θεματικοί όροι: Dynamical systems and ergodic theory, symmetric tensors, minimal polynomial basis, centroaffine comitant

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3939776