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Current Trends in Symmetric Polynomials with their Applications
Current Trends in Symmetric Polynomials with their Applications
Autore Kim Taekyun
Pubbl/distr/stampa MDPI - Multidisciplinary Digital Publishing Institute, 2019
Descrizione fisica 1 electronic resource (238 p.)
Soggetto non controllato generalized Laguerre
central complete Bell numbers
rational polynomials
Changhee polynomials of type two
Euler polynomials
generalized Laguerre polynomials
Hermite
conjecture
Legendre
the degenerate gamma function
trivariate Lucas polynomials
perfectly matched layer
third-order character
Euler numbers
two variable q-Berstein operator
entropy production
hypergeometric function
q-Bernoulli numbers
q-Bernoulli polynomials
symmetry group
Bernoulli polynomials
Fibonacci polynomials
central incomplete Bell polynomials
Chebyshev polynomials
convolution sums
Lucas polynomials
Jacobi
the modified degenerate Laplace transform
q-Volkenborn integral on ?p
and fourth kinds
two variable q-Berstein polynomial
the modified degenerate gamma function
two variable q-Bernstein operators
reduction method
identity
elementary and combinatorial methods
generalized Bernoulli polynomials and numbers attached to a Dirichlet character ?
explicit relations
recursive sequence
Fubini polynomials
p-adic integral on ?p
generating functions
q-Euler number
acoustic wave equation
congruence
trivariate Fibonacci polynomials
stochastic thermodynamics
fermionic p-adic integrals
Laguerre polynomials
fluctuation theorem
Bernoulli numbers and polynomials
w-torsion Fubini polynomials
non-equilibrium free energy
hypergeometric functions 1F1 and 2F1
recursive formula
Chebyshev polynomials of the first
second
central complete Bell polynomials
Apostol-type Frobenius–Euler polynomials
sums of finite products
q-Euler polynomial
symmetric identities
stability
fermionic p-adic q-integral on ?p
Gegenbauer polynomials
continued fraction
thermodynamics of information
well-posedness
fermionic p-adic integral on ?p
catalan numbers
classical Gauss sums
three-variable Hermite polynomials
q-Changhee polynomials
Catalan numbers
two variable q-Bernstein polynomials
q-Euler polynomials
analytic method
representation
mutual information
Fibonacci
Legendre polynomials
Gegenbauer
generalized Bernoulli polynomials and numbers of arbitrary complex order
Lucas
elementary method
new sequence
third
the degenerate Laplace transform
computational formula
operational connection
sums of finite products of Chebyshev polynomials of the third and fourth kinds
Changhee polynomials
linear form in logarithms
ISBN 3-03921-621-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910367752803321
Kim Taekyun  
MDPI - Multidisciplinary Digital Publishing Institute, 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Topics in quaternion linear algebra / / Leiba Rodman
Topics in quaternion linear algebra / / Leiba Rodman
Autore Rodman L.
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014
Descrizione fisica 1 online resource (379 p.)
Disciplina 512/.5
Collana Princeton Series in Applied Mathematics
Soggetto topico Algebras, Linear
Quaternions
Soggetto non controllato Cholesky factorization
Hamiltonian matrices
Jordan canonical form
Jordan form
Kronecker canonical form
Kronecker form
Kronecker forms
Schur triangularization theorem
Smith form
Sylvester equation
algebraic Riccati equations
antiautomorphisms
automorphisms
bilateral quadratic equations
boundedness
canonical forms
complex hermitian matrices
complex matric pencils
complex matrices
complex matrix polynomials
congruence
conjugation
conventions
determinants
diagonal form
diagonalizability
differential equations
dissipative matrices
eigenvalues
eigenvectors
equivalence
expansive matrices
hermitian inner product
hermitian matrices
hermitian matrix pencils
hermitian pencils
indefinite inner products
inertia theorems
invariant Langragian subspaces
invariant Langrangian subspaces
invariant neutral subspaces
invariant semidefinite subspaces
invariant subspaces
involutions
linear quadratic regulators
matrix algebra
matrix decompositions
matrix equations
matrix pencils
matrix polynomials
maximal invariant semidefinite subspaces
metric space
mixed matrix pencils
mixed pencils
mixed quaternion matrix pencils
neutral subspaces
nondegenerate
nonstandard involution
nonstandard involutions
nonuniqueness
notations
numerical cones
numerical ranges
pencils
polynomial matrix equations
quadratic maps
quaternion algebra
quaternion coefficients
quaternion linear algebra
quaternion matrices
quaternion matrix pencils
quaternion subspaces
quaternions
real linear transformations
real matrices
real matrix pencils
real matrix polynomials
real symmetric matrices
root subspaces
scalar quaternions
semidefinite subspaces
skew-Hamiltonian matrices
skewhermitian inner product
skewhermitian matrices
skewhermitian pencils
skewsymmetric matrices
square-size quaternion matrices
standard matrices
symmetric matrices
symmetries
symmetry properties
unitary matrices
vector spaces
ISBN 1-4008-5274-9
Classificazione SK 230
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The algebra of quaternions -- Chapter Three. Vector spaces and matrices: Basic theory -- Chapter Four. Symmetric matrices and congruence -- Chapter Five. Invariant subspaces and Jordan form -- Chapter Six. Invariant neutral and semidefinite subspaces -- Chapter Seven. Smith form and Kronecker canonical form -- Chapter Eight. Pencils of hermitian matrices -- Chapter Nine. Skewhermitian and mixed pencils -- Chapter Ten. Indefinite inner products: Conjugation -- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution -- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions -- Chapter Thirteen. Indefinite inner products: Nonstandard involution -- Chapter Fourteen. Matrix equations -- Chapter Fifteen. Appendix: Real and complex canonical forms -- Bibliography -- Index
Record Nr. UNINA-9910786530203321
Rodman L.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Topics in quaternion linear algebra / / Leiba Rodman
Topics in quaternion linear algebra / / Leiba Rodman
Autore Rodman L.
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014
Descrizione fisica 1 online resource (379 p.)
Disciplina 512/.5
Collana Princeton Series in Applied Mathematics
Soggetto topico Algebras, Linear
Quaternions
Soggetto non controllato Cholesky factorization
Hamiltonian matrices
Jordan canonical form
Jordan form
Kronecker canonical form
Kronecker form
Kronecker forms
Schur triangularization theorem
Smith form
Sylvester equation
algebraic Riccati equations
antiautomorphisms
automorphisms
bilateral quadratic equations
boundedness
canonical forms
complex hermitian matrices
complex matric pencils
complex matrices
complex matrix polynomials
congruence
conjugation
conventions
determinants
diagonal form
diagonalizability
differential equations
dissipative matrices
eigenvalues
eigenvectors
equivalence
expansive matrices
hermitian inner product
hermitian matrices
hermitian matrix pencils
hermitian pencils
indefinite inner products
inertia theorems
invariant Langragian subspaces
invariant Langrangian subspaces
invariant neutral subspaces
invariant semidefinite subspaces
invariant subspaces
involutions
linear quadratic regulators
matrix algebra
matrix decompositions
matrix equations
matrix pencils
matrix polynomials
maximal invariant semidefinite subspaces
metric space
mixed matrix pencils
mixed pencils
mixed quaternion matrix pencils
neutral subspaces
nondegenerate
nonstandard involution
nonstandard involutions
nonuniqueness
notations
numerical cones
numerical ranges
pencils
polynomial matrix equations
quadratic maps
quaternion algebra
quaternion coefficients
quaternion linear algebra
quaternion matrices
quaternion matrix pencils
quaternion subspaces
quaternions
real linear transformations
real matrices
real matrix pencils
real matrix polynomials
real symmetric matrices
root subspaces
scalar quaternions
semidefinite subspaces
skew-Hamiltonian matrices
skewhermitian inner product
skewhermitian matrices
skewhermitian pencils
skewsymmetric matrices
square-size quaternion matrices
standard matrices
symmetric matrices
symmetries
symmetry properties
unitary matrices
vector spaces
ISBN 1-4008-5274-9
Classificazione SK 230
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The algebra of quaternions -- Chapter Three. Vector spaces and matrices: Basic theory -- Chapter Four. Symmetric matrices and congruence -- Chapter Five. Invariant subspaces and Jordan form -- Chapter Six. Invariant neutral and semidefinite subspaces -- Chapter Seven. Smith form and Kronecker canonical form -- Chapter Eight. Pencils of hermitian matrices -- Chapter Nine. Skewhermitian and mixed pencils -- Chapter Ten. Indefinite inner products: Conjugation -- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution -- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions -- Chapter Thirteen. Indefinite inner products: Nonstandard involution -- Chapter Fourteen. Matrix equations -- Chapter Fifteen. Appendix: Real and complex canonical forms -- Bibliography -- Index
Record Nr. UNINA-9910820642203321
Rodman L.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui