Sparse dynamic principal components analysis in the frequency domain

Authors: Attard, Matt, Suda, David Paul, Sammut, Fiona, 39th International Workshop on Statistical Modelling (IWSM)

Subject Terms: Sparse matrices -- Data processing, Principal components analysis, Time-series analysis -- Mathematical models, Multivariate analysis, Eigenvectors

Relation: https://www.um.edu.mt/library/oar/handle/123456789/140446

Availability: https://www.um.edu.mt/library/oar/handle/123456789/140446

Equivalence of AR‐representations in the light of the impulsive‐smooth behaviour

Authors: A. Clive Pugh, Efstathios N. Antoniou, Nicholas P. Karampetakis

Source: International Journal of Robust and Nonlinear Control. 17:769-785

Subject Terms: 0209 industrial biotechnology, Μαθηματικός προγραμματισμός, Πεπερασμένες διαφορές, Ανάλυση πεπερασμένων στοιχείων, Polynomial matrix description (PMDs), Μέθοδος πεπερασμένων διαφορών, 02 engineering and technology, AR (Auto Regressive), Πολυώνυμες μέθοδοι, Polynomials—Data processing, 01 natural sciences, 0203 mechanical engineering, Polynomial matrices, Matrices—Data processing, DES (Σύστημα ανάλυσης), 0101 mathematics, Polynomial methods, Πολυώνυμα—Επεξεργασία δεδομένων, Προγραμματισμός (Μαθηματικά), Finite differences, Programming (Mathematics), Finite element analysis, Boundary mapping, DES (System analysis), Mathematical programming, Διαφορικές εξισώσεις—Αριθμητικές λύσεις, Finite difference method, Differential equations—Numerical solutions, Discrete-time systems, Πολυώνυμη περιγραφή πίνακα, Πολυώνυμοι πίνακες, Αριθμητική ανάλυση, Πίνακες—Επεξεργασία δεδομένων, Συστήματα διακριτού χρόνου, Numerical analysis

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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/2189262
https://doi.org/10.1016/j.laa.2005.03.017

A spectral characterization of the behavior of discrete time AR-representations over a finite time interval: A spectral characterization of the behavior of discrete time AR-representations over a finite time interval.

Authors: Efstathios N. Antoniou, Antonis-Ioannis G. Vardulakis, Nicholas P. Karampetakis

Source: 1997 European Control Conference (ECC). :611-616

Subject Terms: 0209 industrial biotechnology, Μαθηματικός προγραμματισμός, Πεπερασμένες διαφορές, Ανάλυση πεπερασμένων στοιχείων, Polynomial matrix description (PMDs), Μέθοδος πεπερασμένων διαφορών, 02 engineering and technology, AR (Auto Regressive), Πολυώνυμες μέθοδοι, Polynomials—Data processing, Discrete-time control/observation systems, discrete time auto regressive (AR) model, boundary conditions, Polynomial matrices, Matrices—Data processing, finite and infinite spectral structure of the polynomial matrix, DES (Σύστημα ανάλυσης), Polynomial methods, Πολυώνυμα—Επεξεργασία δεδομένων, Προγραμματισμός (Μαθηματικά), Finite differences, Programming (Mathematics), Other matrix algorithms, Finite element analysis, DES (System analysis), Mathematical programming, Boundary mapping, Διαφορικές εξισώσεις—Αριθμητικές λύσεις, Finite difference method, Differential equations—Numerical solutions, Discrete-time systems, Πολυώνυμοι πίνακες, Πολυώνυμη περιγραφή πίνακα, Αριθμητική ανάλυση, Πίνακες—Επεξεργασία δεδομένων, Συστήματα διακριτού χρόνου, Numerical analysis

File Description: application/xml

Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/135243/Kybernetika_34-1998-5_5.pdf
https://zbmath.org/6148126
http://www.kybernetika.cz/content/1998/5/555

An MPI-based 2D data redistribution library for dense arrays

Authors: Namugwanya, Evelyn

Source: Masters Theses and Doctoral Dissertations

Subject Terms: Application program interfaces (Computer software), High performance computing, Matrices -- Data processing

File Description: application/pdf

Relation: https://scholar.utc.edu/theses/726; https://scholar.utc.edu/context/theses/article/1898/viewcontent/Evelyn_Namugwanya_MS_Thesis_2021__19_.pdf

Availability: https://scholar.utc.edu/theses/726
https://scholar.utc.edu/context/theses/article/1898/viewcontent/Evelyn_Namugwanya_MS_Thesis_2021__19_.pdf

Linearizations of polynomial matrices with symmetries and their applications

Authors: Vologiannidis, Stavros, Antoniou, Efstathios

Source: The Electronic Journal of Linear Algebra. 15

Subject Terms: 0209 industrial biotechnology, Μαθηματικός προγραμματισμός, Πεπερασμένες διαφορές, Συμμετρία (Μαθηματικά), Linearization, Ανάλυση πεπερασμένων στοιχείων, Polynomial matrix description (PMDs), Μέθοδος πεπερασμένων διαφορών, 02 engineering and technology, Πολυώνυμες μέθοδοι, Polynomials—Data processing, 01 natural sciences, Polynomial matrices, Symmetry (Mathematics), Matrices—Data processing, 0101 mathematics, Polynomial methods, Πολυώνυμα—Επεξεργασία δεδομένων, Προγραμματισμός (Μαθηματικά), Finite differences, Programming (Mathematics), Finite element analysis, Mathematical programming, Διαφορικές εξισώσεις—Αριθμητικές λύσεις, Finite difference method, Differential equations—Numerical solutions, Discrete-time systems, Πολυώνυμη περιγραφή πίνακα, Πολυώνυμοι πίνακες, Αριθμητική ανάλυση, Πίνακες—Επεξεργασία δεδομένων, Συστήματα διακριτού χρόνου, Numerical analysis

Access URL: http://www.emis.de/journals/ELA/ela-articles/articles/vol15_pp107-114.pdf

A new family of companion forms of polynomial matrices

Authors: Antoniou, E. N., Vologiannidis, S.

Source: The Electronic Journal of Linear Algebra. 11

Subject Terms: Numerical analysis programs, Μαθηματικός προγραμματισμός, Canonical forms, reductions, classification, Linearization, Ανάλυση πεπερασμένων στοιχείων, linearization, Polynomial matrix description (PMDs), companion form, Πολυώνυμες μέθοδοι, 01 natural sciences, Factorization of matrices, Πίνακες (Μαθηματικά), Matrices over function rings in one or more variables, self-adjoint matrix, Γραμμικές διαφορικές εξισώσεις, Αριθμητικοί υπολογισμοί—Προγράμματα υπολογιστών, Polynomial matrices, Matrices—Data processing, 0101 mathematics, polynomial matrix, Polynomial methods, Προγραμματισμός (Μαθηματικά), Programming (Mathematics), Finite element analysis, Matrixes (Algebra), Mathematical programming, Διαφορικές εξισώσεις—Αριθμητικές λύσεις, Προγράμματα αριθμητικής ανάλυσης, Differential equations—Numerical solutions, elementary divisor, Numerical calculations—Computer programs, Πολυώνυμοι πίνακες, Πολυώνυμη περιγραφή πίνακα, Αριθμητική ανάλυση, Matrix pencils, Linear differential equations, Πίνακες—Επεξεργασία δεδομένων, Numerical analysis

File Description: application/xml

Access URL: http://www.maths.tcd.ie/EMIS/journals/ELA/ela-articles/articles/vol11_pp78-87.pdf
https://zbmath.org/2144304
https://doi.org/10.13001/1081-3810.1124

Factoring matrices with a tree-structured sparsity pattern
פרוקן של מטריצות בעלות תבנית-דלילות אשר המבנה שלה הוא עץ \

Authors: Druinsky, Alex

Subject Terms: Matrices -- Data processing, Sparse matrices -- Data processing

Direct Methods for Sparse Matrices

Authors: I. S. Duff, A. M. Erisman, J. K. Reid

Resource Type: eBook.

Subjects: Sparse matrices--Data processing

Categories: MATHEMATICS / Functional Analysis

Basics of Matrix Algebra for Statistics with R

Authors: Nick Fieller

Resource Type: eBook.

Subjects: Matrices--Data processing, Mathematical statistics--Data processing, R (Computer program language)

Categories: MATHEMATICS / Matrices, COMPUTERS / Mathematical & Statistical Software

Sparse matrices

Authors: Tewarson, Reginald P.

Subject Terms: Matrices -- Data processing

تنفيذ عمليات الضرب باستخدام المعالج الدقيق

Source: Iraqi Journal for Computers and Informatics, Vol 14, Iss 2, Pp 7-28 (1985)

Subject Terms: 8085, multiply matrices, data processing, Technology, 0502 economics and business, 05 social sciences, 0211 other engineering and technologies, 02 engineering and technology

Access URL: http://ijci.uoitc.edu.iq/index.php/ijci/article/download/176/122
https://doaj.org/article/13ddea0163bb4b9d8e512e22f732780c

Matrix computations and semiseparable matrices

Authors: Vandebril, Raf, 1978-

Contributors: Barel, Marc van, 1960-, Mastronardi, Nicola, 1962-

Subject Terms: Semiseparable matrices, Matrices -- Data processing, Numerical analysis

Scalable and feasible learning and retrieval from matrix data

Authors: Li, Hui, 李輝

Contributors: Kao, CM, Mamoulis, N

Subject Terms: Matrices - Data processing

Relation: HKU Theses Online (HKUTO); Li, H. [李輝]. (2018). Scalable and feasible learning and retrieval from matrix data. (Thesis). University of Hong Kong, Pokfulam, Hong Kong SAR.; 991044058176303414; https://hub.hku.hk/handle/10722/265402

Availability: https://hub.hku.hk/handle/10722/265402
https://doi.org/10.5353/th_991044058176303414

Matrix preconditioning techniques and applications
Matrix Preconditioning Techniques & Applications

Authors: Chen, Ke, 1962-

Subject Terms: Differential equations -- Numerical solutions -- Data processing, Iterative methods (Mathematics) -- Data processing, Integral equations -- Numerical solutions -- Data processing, Sparse matrices -- Data processing

Fast algorithms for DCT-II computations

Authors: Leventon, Guy

Subject Terms: Algorithms, Matrices -- Data processing, Signal processing -- Digital techniques -- Mathematics

Non-Linear Structures : Matrix Methods of Analysis and Design by Computers

Authors: K. I. Majid

Resource Type: eBook.

Subjects: Structural analysis (Engineering)--Data processing, Structural design--Data processing, Matrices--Data processing

Categories: TECHNOLOGY & ENGINEERING / Civil / General, MATHEMATICS / General

Software for Roundoff Analysis of Matrix Algorithms

Authors: Webb Miller, Celia Wrathall

Resource Type: eBook.

Subjects: Matrices--Data processing, Roundoff errors--Data processing

Categories: MATHEMATICS / Algebra / Intermediate, MATHEMATICS / General

MATLAB Matrix Algebra

Authors: Cesar Lopez

Resource Type: eBook.

Subjects: Matrices--Data processing

Categories: COMPUTERS / Programming / Compilers, COMPUTERS / Mathematical & Statistical Software

An out-of-core sparse symmetric indefinite factorization method

Authors: Meshar, Omer

Subject Terms: Algebras, Linear -- Numerical solutions, Computer algorithms, Matrices -- Data processing