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
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MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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