Matrix completions, moments, and sums of hermitian squares [[electronic resource] /] / Mihály Bakonyi and Hugo J. Woerdeman |
Autore | Bakonyi Mihály |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
Descrizione fisica | 1 online resource (533 p.) |
Disciplina | 512.9434 |
Altri autori (Persone) | WoerdemanHugo J |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto genere / forma | Electronic books. |
Soggetto non controllato |
Bernstein–Szeg ő measures
Carathéodory problem Christoel–Darboux formulas Corona problem Fejéer–Riesz factorization Fejér–Riesz factorization Hamburger problem Hermitian matrices Hermitian matrix expressions Hermitian squares problems Hilbert spaces Hilbert–Schmidt norm control MATLAB codes Nehari problem Nevanlinna–Pick problem Schur complement Toeplitz case Toeplitz matrices banded case chordal case completion problems complex function theory cones contractive completion contractive completions control theory electrical engineering linear algebra mathematics measure theory minimal rank completions multivariables operator theory partial operator matrices positive Carathéodory interpolation positive definite completions positive semidefinite completion quantum information semidefinite completions semidefinite matrices semidefinite operator matrices semidefinite programming separability problem signal processing trigonometric polynomials |
ISBN |
1-283-10154-8
9786613101549 1-4008-4059-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910459955403321 |
Bakonyi Mihály
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||
Princeton, N.J., : Princeton University Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Matrix completions, moments, and sums of hermitian squares [[electronic resource] /] / Mihály Bakonyi and Hugo J. Woerdeman |
Autore | Bakonyi Mihály |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
Descrizione fisica | 1 online resource (533 p.) |
Disciplina | 512.9434 |
Altri autori (Persone) | WoerdemanHugo J |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Bernstein–Szeg ő measures
Carathéodory problem Christoel–Darboux formulas Corona problem Fejér–Riesz factorization Hamburger problem Hermitian matrices Hermitian matrix expressions Hermitian squares problems Hilbert spaces Hilbert–Schmidt norm control MATLAB codes Nehari problem Nevanlinna–Pick problem Schur complement Toeplitz case Toeplitz matrices banded case chordal case completion problems complex function theory cones contractive completions control theory electrical engineering linear algebra mathematics measure theory minimal rank completions multivariables operator theory partial operator matrices positive Carathéodory interpolation positive definite completions positive semidefinite completion quantum information semidefinite completions semidefinite matrices semidefinite operator matrices semidefinite programming separability problem signal processing trigonometric polynomials |
ISBN |
1-283-10154-8
9786613101549 1-4008-4059-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910790087903321 |
Bakonyi Mihály
![]() |
||
Princeton, N.J., : Princeton University Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Matrix completions, moments, and sums of hermitian squares / / Mihály Bakonyi and Hugo J. Woerdeman |
Autore | Bakonyi Mihály |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
Descrizione fisica | 1 online resource (533 p.) |
Disciplina | 512.9434 |
Altri autori (Persone) | WoerdemanHugo J |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Bernstein–Szeg ő measures
Carathéodory problem Christoel–Darboux formulas Corona problem Fejér–Riesz factorization Hamburger problem Hermitian matrices Hermitian matrix expressions Hermitian squares problems Hilbert spaces Hilbert–Schmidt norm control MATLAB codes Nehari problem Nevanlinna–Pick problem Schur complement Toeplitz case Toeplitz matrices banded case chordal case completion problems complex function theory cones contractive completions control theory electrical engineering linear algebra mathematics measure theory minimal rank completions multivariables operator theory partial operator matrices positive Carathéodory interpolation positive definite completions positive semidefinite completion quantum information semidefinite completions semidefinite matrices semidefinite operator matrices semidefinite programming separability problem signal processing trigonometric polynomials |
ISBN |
1-283-10154-8
9786613101549 1-4008-4059-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910824018303321 |
Bakonyi Mihály
![]() |
||
Princeton, N.J., : Princeton University Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
Autore | Bhatia Rajendra <1952-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 512.9/434 |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
Classificazione | SK 220 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
Record Nr. | UNINA-9910777727303321 |
Bhatia Rajendra <1952->
![]() |
||
Princeton, N.J., : Princeton University Press, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Positive definite matrices / / Rajendra Bhatia |
Autore | Bhatia Rajendra <1952-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
Descrizione fisica | 1 online resource (265 p.) |
Disciplina | 512.9/434 |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
Classificazione | SK 220 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
Record Nr. | UNINA-9910809021503321 |
Bhatia Rajendra <1952->
![]() |
||
Princeton, N.J., : Princeton University Press, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|