Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
| Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman |
| Autore | Rodman L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.724 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lifting theory
Factorization (Mathematics) Toeplitz operators |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0360-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem"" ""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910478892803321 |
Rodman L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
| Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman |
| Autore | Rodman L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.724 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lifting theory
Factorization (Mathematics) Toeplitz operators |
| ISBN | 1-4704-0360-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem"" ""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910788847703321 |
|
Rodman L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
| Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation / / Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman |
| Autore | Rodman L. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (87 p.) |
| Disciplina |
510 s
515/.724 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Lifting theory
Factorization (Mathematics) Toeplitz operators |
| ISBN | 1-4704-0360-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""1.1. Abstract Band Method""; ""1.2. Factorization""; ""1.3. Conventions and Notation""; ""Chapter 2. Abstract Band Method: New Variations""; ""2.1. Nonsymmetric Band Method""; ""2.2. Shiftable Band Structure""; ""2.3. Stability of Band Extensions""; ""2.4. Band Extensions: The Symmetric Case""; ""2.5. Positive Band Extensions: Existence""; ""2.6. Description of Positive Extensions""; ""Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices""; ""3.1. Band Extensions for Wiener Class of Operator Valued Functions on the Unit Circle""
""3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator Matrices""""3.3. Application to Cyclostationary Processes""; ""Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix Functions""; ""4.1. Almost Periodic Functions and Statement of the Problem""; ""4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators""; ""4.3. Toeplitz Operators Associated with Band""; ""4.4. Positive Extension Problem: Main Results""; ""4.5. Point Excluding Variations""; ""4.6. Stability of Band Extensions""; ""4.7. Positive Measure Extension Problem"" ""4.8. Application to Spectral Estimation for ARMA Processes""""Chapter 5. Appendix""; ""5.1. Bochner-Phillips Theorem""; ""5.2. Abstract Factorization""; ""5.3. Krein's Theorem on Extension of Positive Functionals""; ""5.4. Invertibility in Banach Algebras""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910818014003321 |
|
Rodman L.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| 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 genere / forma | Electronic books. |
| 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-9910464848103321 |
|
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-9910786530203321 |
|
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 | ||
| ||