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Advanced Numerical Methods in Applied Sciences
| Advanced Numerical Methods in Applied Sciences |
| Autore | Iavernaro Felice |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (306 p.) |
| Soggetto non controllato |
structured matrices
numerical methods time fractional differential equations hierarchical splines finite difference methods null-space highly oscillatory problems stochastic Volterra integral equations displacement rank constrained Hamiltonian problems hyperbolic partial differential equations higher-order finite element methods continuous geometric average spectral (eigenvalue) and singular value distributions generalized locally Toeplitz sequences Volterra integro–differential equations B-spline discontinuous Galerkin methods adaptive methods Cholesky factorization energy-conserving methods order collocation method Poisson problems time harmonic Maxwell’s equations and magnetostatic problems tree multistep methods stochastic differential equations optimal basis finite difference method elementary differential gradient system curl–curl operator conservative problems line integral methods stochastic multistep methods Hamiltonian Boundary Value Methods limited memory boundary element method convergence analytical solution preconditioners asymptotic stability collocation methods histogram specification local refinement Runge–Kutta edge-preserving smoothing numerical analysis THB-splines BS methods barrier options stump shock waves and discontinuities mean-square stability Volterra integral equations high order discontinuous Galerkin finite element schemes B-splines vectorization and parallelization initial value problems one-step methods scientific computing fractional derivative linear systems Hamiltonian problems low rank completion ordinary differential equations mixed-index problems edge-histogram Hamiltonian PDEs matrix ODEs HBVMs floating strike Asian options Hermite–Obreshkov methods generalized Schur algorithm Galerkin method symplecticity high performance computing isogeometric analysis discretization of systems of differential equations |
| ISBN | 3-03897-667-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346690203321 |
Iavernaro Felice
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Rodman L.
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||