Suchergebnisse - Matrices over function rings in one or more variables

On regular polynomial matrices. II. The associated matrix pencils; simple matrix pencils: On regular polynomial matrices. II: The associated matrix pencils; simple matrix pencils

Autoren: Lee, Anna

Quelle: Publicationes Mathematicae Debrecen. 23:327-333

Schlagwörter: Matrices over function rings in one or more variables, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3574046

On One Class of Divisors of Polynomial Matrices over Integral Domains: On one class of divisors of polynomial matrices over integral domains

Autoren: V. M. Prokip

Quelle: Ukrainian Mathematical Journal. 55:1329-1337

Schlagwörter: Matrices over function rings in one or more variables, Matrices over special rings (quaternions, finite fields, etc.), existence conditions, divisor, 0101 mathematics, polynomial matrix, 01 natural sciences, Factorization of matrices, known eigenvalues, integral domain

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2210448
https://doi.org/10.1023/b:ukma.0000010762.30123.08
https://link.springer.com/10.1023/B:UKMA.0000010762.30123.08
https://link.springer.com/article/10.1023/B:UKMA.0000010762.30123.08

On Some Properties of Polynomial Bases of Subspaces over the Field of Rational Functions in Several Variables: On some properties of polynomial bases of subspaces over the field of rational functions in several variables

Autoren: V. B. Khazanov

Quelle: Journal of Mathematical Sciences. 121:2538-2545

Schlagwörter: polynomial bases, Vector spaces, linear dependence, rank, lineability, multiparameter rational vectors, Matrices over function rings in one or more variables, regular spectrum, 0101 mathematics, 01 natural sciences, singular spectra

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B%3AJOTH.0000026291.24217.79

Congruence of Hermitian matrices over some localizations of C[z, z−1]: Congruence of Hermitian matrices over some localizations of \(C[z, z^{- 1}]\)

Autoren: Dragomir Z̆. Ðoković Leonardo Legorreta

Quelle: Linear Algebra and its Applications. 219:35-48

Schlagwörter: congruence problem, Numerical Analysis, Algebra and Number Theory, Matrices over special rings (quaternions, finite fields, etc.), subring, pole, Laurent polynomial, Hermitian matrix, 01 natural sciences, function field, Matrices over function rings in one or more variables, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/81134161
https://www.sciencedirect.com/science/article/abs/pii/0024379593001897
https://www.sciencedirect.com/science/article/pii/0024379593001897

Monotone matrix functions of two variables

Autoren: Mandeep Singh H. L. Vasudeva

Quelle: Linear Algebra and its Applications. 328:131-152

Schlagwörter: operator function, Numerical Analysis, monotone operator function, Algebra and Number Theory, Matrices over function rings in one or more variables, spectral decomposition, monotone matrix functions, Fréchet differential, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1610659
https://doi.org/10.1016/s0024-3795(00)00308-6
https://www.sciencedirect.com/science/article/pii/S0024379500003086
https://www.sciencedirect.com/science/article/abs/pii/S0024379500003086

More on Concavity of a Matrix Function: More on concavity of a matrix function

Autoren: Jürgen Gross

Quelle: SIAM Journal on Matrix Analysis and Applications. 19:365-368

Schlagwörter: linear model, Generalized linear models (logistic models), Vector spaces, linear dependence, rank, lineability, Matrices over function rings in one or more variables, 0202 electrical engineering, electronic engineering, information engineering, matrix-concave function, Theory of matrix inversion and generalized inverses, Löwner partial ordering, 02 engineering and technology, generalized inverse

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1150981
https://doi.org/10.1137/s0895479896311244
https://epubs.siam.org/doi/abs/10.1137/S0895479896311244
https://locus.siam.org/doi/abs/10.1137/S0895479896311244

The extension of Roth's theorem for matrix equations over a ring

Autoren: Liping Huang Jianzhou Liu

Quelle: Linear Algebra and its Applications. 259:229-235

Schlagwörter: matrix equation, Numerical Analysis, Algebra and Number Theory, Matrices over function rings in one or more variables, Matrix equations and identities, equivalence, Discrete Mathematics and Combinatorics, Roth's similarity theorem, Geometry and Topology, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1044236
https://doi.org/10.1016/s0024-3795(96)00286-8
https://www.sciencedirect.com/science/article/pii/S0024379596002868
https://www.sciencedirect.com/science/article/abs/pii/S0024379596002868

Substitution of matrices over rings

Autoren: Mlj Malo Hautus

Quelle: Linear Algebra and its Applications. :353-370

Schlagwörter: Numerical Analysis, Algebra and Number Theory, Matrix equations and identities, rational functions, 01 natural sciences, interpolation, matrix equations, Matrices over function rings in one or more variables, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, similarity, Interpolation in approximation theory, solvability, matrices over rings

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/803749
https://doi.org/10.1016/0024-3795(95)00155-k
https://research.tue.nl/en/publications/cf062561-79c4-42a7-9b3b-b306460b64e8
https://doi.org/10.1016/0024-3795(95)00155-K
https://www.sciencedirect.com/science/article/abs/pii/002437959500155K
https://www.sciencedirect.com/science/article/pii/002437959500155K
https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2Fcf062561-79c4-42a7-9b3b-b306460b64e8

Matrix convexity of functions of two variables

Autoren: Jaspal Singh Aujla

Quelle: Linear Algebra and its Applications. 194:149-160

Schlagwörter: Numerical Analysis, inequality, Algebra and Number Theory, Miscellaneous inequalities involving matrices, Matrices over function rings in one or more variables, Hermitian matrices, matrix convexity, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, matrix convex functions, 01 natural sciences, Convexity of real functions of several variables, generalizations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/540062
https://doi.org/10.1016/0024-3795(93)90119-9
https://www.sciencedirect.com/science/article/abs/pii/0024379593901199
https://core.ac.uk/display/82305870
https://www.sciencedirect.com/science/article/pii/0024379593901199

Scalar polynomial functions on the nonsingular matrices over a finite field

Autoren: Gary L. Mullen Joel V. Brawley

Quelle: Linear Algebra and its Applications. 174:1-12

Schlagwörter: Numerical Analysis, Algebra and Number Theory, Matrices over special rings (quaternions, finite fields, etc.), Matrices over function rings in one or more variables, linear matrix group, Discrete Mathematics and Combinatorics, scalar polynomial, Geometry and Topology, 0102 computer and information sciences, 0101 mathematics, finite field, 01 natural sciences, nonsingular matrices

Dateibeschreibung: application/xml

Zugangs-URL: http://www.sciencedirect.com/science/article/pii/002437959290037B
https://www.sciencedirect.com/science/article/pii/002437959290037B
https://pennstate.pure.elsevier.com/en/publications/scalar-polynomial-functions-on-the-nonsingular-matrices-over-a-fi

Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices

Autoren: L. E. Garza Gaona A. E. Choque-Rivero

Quelle: Russian Mathematics. 61:57-69

Schlagwörter: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Toeplitz, Cauchy, and related matrices, Matrices over function rings in one or more variables, Toeplitz matrices, moment problem, unit circle, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, matrix orthogonal polynomials, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6845964
https://doi.org/10.3103/s1066369x17120076
https://link.springer.com/article/10.3103/S1066369X17120076

Functions of matrices

Autoren: Luis Verde-Star

Quelle: Linear Algebra and its Applications. 406:285-300

Schlagwörter: Numerical Analysis, Hadamard product, Algebra and Number Theory, Dynamic solutions, Functions of a matrix, Horner polynomials, functions of matrices, resolvent, Matrix exponential, 01 natural sciences, Matrices over function rings in one or more variables, Cayley-Hamilton theorem, Cayley–Hamilton, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, power series

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2210324
https://doi.org/10.1016/j.laa.2005.04.016
http://www.sciencedirect.com/science/article/pii/S0024379505002405
https://www.sciencedirect.com/science/article/pii/S0024379505002405

LINE INSERTIONS IN TOTALLY POSITIVE MATRIX FUNCTIONS: Line insertions in totally positive matrix functions

Autoren: Ronald L. Smith Charles R. Johnson

Quelle: Mathematical Proceedings of the Royal Irish Academy. :143-153

Schlagwörter: Positive matrices and their generalizations, cones of matrices, totally negative matrix, Matrices over function rings in one or more variables, line insertion problem, totally positive matrix, collocation matrix, 0101 mathematics, polynomial matrix function, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.jstor.org/stable/40656879

Matrices that preserve the value of the generalized matrix function of the upper triangular matrices

Autoren: Rosário Fernandes

Quelle: Linear Algebra and its Applications. 401:47-65

Schlagwörter: Yang diagram, Numerical Analysis, generalized matrix function, Algebra and Number Theory, matrix preservers, permutation matrix, generalized Schur function, Generalized matrix function, Linear transformations, semilinear transformations, Matrix preservers, Determinants, permanents, traces, other special matrix functions, 01 natural sciences, Matrices over function rings in one or more variables, triangular matrix, Triangular matrix, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379503007183
https://core.ac.uk/display/82186221

Perturbation Theory for Analytic Matrix Functions: The Semisimple Case: Perturbation theory for analytic matrix functions: The semisimple case

Autoren: F. Zhou Alexander Markus Peter Lancaster

Quelle: SIAM Journal on Matrix Analysis and Applications. 25:606-626

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, algorithm, convergence, Perturbation theory of linear operators, Taylor coefficients, analytic matrix functions, eigenvectors, semisimple eigenvalues, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), analytic dependence, Matrices over function rings in one or more variables, non-self-adjoint functions, 0101 mathematics, perturbation theory

Dateibeschreibung: application/xml

Zugangs-URL: https://epubs.siam.org/doi/10.1137/S0895479803423792
https://dblp.uni-trier.de/db/journals/siammax/siammax25.html#LancasterMZ03
https://doi.org/10.1137/S0895479803423792
https://dialnet.unirioja.es/servlet/articulo?codigo=2848172

A Schur-Parlett Algorithm for Computing Matrix Functions: A Schur-Parlett algorithm for computing matrix functions

Autoren: Davies, Philip I. Higham, Nicholas J.

Quelle: Davies, P I & Higham, N J 2004, 'A Schur-Parlett algorithm for computing matrix functions', SIAM Journal on Matrix Analysis and Applications, vol. 25, no. 2, pp. 464-485. https://doi.org/10.1137/S0895479802410815

Schlagwörter: MATLAB, matrix logarithm, algorithm, Matrix function, 4. Education, Sep function, Other matrix algorithms, Matrix equations and identities, Matrix exponential, 16. Peace & justice, 01 natural sciences, matrix exponential, Schur decomposition, Matrices over function rings in one or more variables, matrix function, Parlett recurrence, Taylor series, LAPACK, matrix cosine, Matrix cosine, 0101 mathematics, matrix square root, Matrix logarithm

Dateibeschreibung: application/xml

Zugangs-URL: http://eprints.maths.manchester.ac.uk/156/1/paper.pdf
https://www.maths.manchester.ac.uk/~higham/narep/narep404.pdf
https://www.research.manchester.ac.uk/portal/en/publications/a-schurparlett-algorithm-for-computing-matrix-functions(031775ea-1e0e-4074-8f1d-17a1ba6b28d1)/export.html
https://dl.acm.org/doi/10.1137/S0895479802410815
https://www.escholar.manchester.ac.uk/uk-ac-man-scw:73737
http://eprints.maths.manchester.ac.uk/156/
https://epubs.siam.org/doi/10.1137/S0895479802410815

Inversion of Analytic Matrix Functions That are Singular at the Origin: Inversion of analytic matrix functions that are singular at the origin

Autoren: Moshe Haviv Konstantin Avrachenkov Phil Howlett

Quelle: SIAM Journal on Matrix Analysis and Applications. 22:1175-1189

Schlagwörter: Perturbation theory of linear operators, Matrices over function rings in one or more variables, analytic perturbation, symbolic algebra, Theory of matrix inversion and generalized inverses, Symbolic computation and algebraic computation, algorithms, Laurent series, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), matrix inversion, matrix valued functions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1608856
https://doi.org/10.1137/s0895479898337555
https://epubs.siam.org/doi/10.1137/S0895479898337555
https://dblp.uni-trier.de/db/journals/siammax/siammax22.html#AvrachenkovHH01
https://dialnet.unirioja.es/servlet/articulo?codigo=2848070

Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band

Autoren: Bakonyi, M. Rodman, L. Spitkovsky, I.M. et al.

Quelle: The Journal of Fourier Analysis and Applications. 5:21-44

Schlagwörter: band method, ARMA processes, 01 natural sciences, Article, matrix functions, 510.mathematics, Harmonic analysis in several variables, Matrices over function rings in one or more variables, Toeplitz operators, Hankel operators, Wiener-Hopf operators, almost periodic functions, positive extensions, 0101 mathematics, Wiener algebra, entropy, bitorus, Toeplitz operators, autoregressive moving average processes, Signal detection and filtering (aspects of stochastic processes)

Dateibeschreibung: application/xml; image/jpeg; application/pdf

Zugangs-URL: https://zbmath.org/1275885
https://doi.org/10.1007/bf01274187
https://nyuscholars.nyu.edu/en/publications/positive-matrix-functions-on-the-bitorus-with-prescribed-fourier-
https://link.springer.com/article/10.1007%2FBF01274187

A rank criterion for the order of a pole of a matrix function

Autoren: Fei Zhou

Quelle: Linear Algebra and its Applications. 362:287-292

Schlagwörter: rank criterion, Numerical Analysis, Vector spaces, linear dependence, rank, lineability, Algebra and Number Theory, meromorphic matrix function, Null function, 0102 computer and information sciences, Meromorphic matrix function, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), order of a pole, Null chain, Matrices over function rings in one or more variables, Order of a pole, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Pole, Geometry and Topology, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1880082
https://doi.org/10.1016/s0024-3795(02)00540-2
https://www.sciencedirect.com/science/article/pii/S0024379502005402

Extreme rays and faces for the cone of class functions non-negative on the set of Gram matrices

Autoren: Thomas H. Pate

Quelle: Linear Algebra and its Applications. 390:27-45

Schlagwörter: Numerical Analysis, generalized matrix function, Algebra and Number Theory, Immanent, Generalized matrix function, Immanant inequality, Extreme ray, polyhedral cone, 01 natural sciences, symmetric group, Positive matrices and their generalizations, cones of matrices, immanent inequality, Matrices over function rings in one or more variables, extreme ray, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Cone

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/82367566
https://www.sciencedirect.com/science/article/pii/S0024379504001934