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Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
| Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos |
| Autore | Halmos Paul R (Paul Richard), <1916-2006, > |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (206 pages) |
| Disciplina | 512.52 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Transformations (Mathematics)
Generalized spaces |
| Soggetto non controllato |
Absolute value
Accuracy and precision Addition Affine space Algebraic closure Algebraic equation Algebraic operation Algebraically closed field Associative property Automorphism Axiom Banach space Basis (linear algebra) Bilinear form Bounded operator Cardinal number Cayley transform Characteristic equation Characterization (mathematics) Coefficient Commutative property Complex number Complex plane Computation Congruence relation Convex set Coordinate system Determinant Diagonal matrix Dimension (vector space) Dimension Dimensional analysis Direct product Direct proof Direct sum Division by zero Dot product Dual basis Eigenvalues and eigenvectors Elementary proof Equation Euclidean space Existential quantification Function of a real variable Functional calculus Fundamental theorem Geometry Gram–Schmidt process Hermitian matrix Hilbert space Infimum and supremum Jordan normal form Lebesgue integration Linear combination Linear function Linear independence Linear map Linear programming Linearity Manifold Mathematical induction Mathematics Minimal polynomial (field theory) Minor (linear algebra) Monomial Multiplication sign Natural number Nilpotent Normal matrix Normal operator Number theory Orthogonal basis Orthogonal complement Orthogonal coordinates Orthogonality Orthonormality Polynomial Quotient space (linear algebra) Quotient space (topology) Real number Real variable Scalar (physics) Scientific notation Series (mathematics) Set (mathematics) Sign (mathematics) Special case Spectral theorem Spectral theory Summation Tensor calculus Theorem Topology Transitive relation Unbounded operator Uncountable set Unit sphere Unitary transformation Variable (mathematics) Vector space |
| ISBN | 1-4008-8223-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
| Record Nr. | UNINA-9910154744503321 |
Halmos Paul R (Paul Richard), <1916-2006, >
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
| Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant |
| Autore | Golub Gene H (Gene Howard), <1932-2007.> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | MeurantGérard A |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| Soggetto non controllato |
Algorithm
Analysis of algorithms Analytic function Asymptotic analysis Basis (linear algebra) Basis function Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Chebyshev polynomials Coefficient Complex number Computation Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Curve fitting Degeneracy (mathematics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Estimator Exponential function Factorization Function (mathematics) Function of a real variable Functional analysis Gaussian quadrature Hankel matrix Hermite interpolation Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Interlacing (bitmaps) Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Linear subspace Logarithm Machine epsilon Matrix function Matrix polynomial Maxima and minima Mean value theorem Meromorphic function Moment (mathematics) Moment matrix Moment problem Monic polynomial Monomial Monotonic function Newton's method Numerical analysis Numerical integration Numerical linear algebra Orthogonal basis Orthogonal matrix Orthogonal polynomials Orthogonal transformation Orthogonality Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial Preconditioner QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Summation Symmetric matrix Theorem Tikhonov regularization Trace (linear algebra) Triangular matrix Tridiagonal matrix Upper and lower bounds Variable (mathematics) Vector space Weight function |
| ISBN |
1-282-45801-9
1-282-93607-7 9786612458019 1-4008-3388-4 |
| Classificazione | SK 915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861503321 |
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Golub Gene H (Gene Howard), <1932-2007.>
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| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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