Matrices, Moments and Quadrature with Applications

This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Golub, Gene H, Meurant, Gérard
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Princeton Princeton University Press 2009
Ausgabe:	1
Schriftenreihe:	Princeton Series in Applied Mathematics
Schlagworte:	Algorithm Basis (linear algebra) Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Coefficient Computation COMPUTERS / Computer Science Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Factorization Function (mathematics) Function of a real variable Gaussian quadrature General Topics for Engineers Hankel matrix Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Machine epsilon MATHEMATICS MATHEMATICS / Algebra / General MATHEMATICS / Applied MATHEMATICS / General Matrices Matrix function Matrix polynomial Meromorphic function Moment (mathematics) Moment matrix Monic polynomial Newton's method Numerical analysis Numerical integration Orthogonal polynomials Orthogonal transformation Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Symmetric matrix Technology Tikhonov regularization Trace (linear algebra) Tridiagonal matrix Upper and lower bounds Variable (mathematics) Weight function Polynomial Identity matrix Linear differential equation Iterative method Eigenvalues and eigenvectors Invertible matrix Inverse iteration Calculation Gaussian quadrature Trace (linear algebra) Biconjugate gradient method Conjugate transpose Meromorphic function Function of a real variable Bidiagonal matrix Rotation matrix Recurrence relation QR algorithm Estimation QR decomposition Determinant Holomorphic function Machine epsilon Algorithm Bilinear form Matrix function Function (mathematics) Dimension (vector space) Computation Regularization (mathematics) Diagonal matrix Weight function Partial fraction decomposition Matrix polynomial Hessenberg matrix Tridiagonal matrix Cross-validation (statistics) Singular value Characteristic polynomial Iteration Jacobi matrix Tikhonov regularization Upper and lower bounds Moment matrix Orthogonalization Square (algebra) Orthogonal polynomials Monic polynomial Quadratic form Rate of convergence Hilbert matrix Conjugate gradient method Coefficient Numerical integration Krylov subspace Linear regression Equation Moment (mathematics) Basis (linear algebra) Factorization Orthogonal transformation Inverse problem Orthonormal basis Variable (mathematics) Hankel matrix Lanczos algorithm Laguerre polynomials Symmetric matrix Condition number Newton's method
ISBN:	0691143412, 9780691143415, 9781400833887, 1400833884
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Schreiben Sie den ersten Kommentar!