Linear algebra in action / Harry Dym.

Format:

Book

Author/Creator:

Dym, H. (Harry), 1938- author.

Series:

Graduate Studies in Mathematics, v. 232

Language:

English

Subjects (All):

Algebras, Linear.

Physical Description:

1 online resource

Edition:

Third edition.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

System Details:

Mode of access : World Wide Web

Contents:

Prerequisites Dimension and rank Gaussian elimination Eigenvalues and eigenvectors Towards the Jordan decomposition The Jordan decomposition Determinants Companion matrices and circulants Inequalities Normed linear spaces Inner product spaces Orthogonality Normal matrices Projections, volumes, and traces Singular value decomposition Positive definite and semidefinite matrices Determinants redux Applications Discrete dynamical systems Continuous dynamical systems Vector-valued functions Fixed point theorems The implicit function theorem Extremal problems Newton's method Matrices with nonnegative entries Applications of matrices with nonnegative entries Eigenvalues of Hermitian matrices Singular values redux I Singular values redux II Approximation by unitary matrices Linear functionals A minimal norm problem Conjugate gradients Continuity of eigenvalues Eigenvalue location problems Matrix equations A matrix completion problem Minimal norm completions The numerical range Riccati equations Supplementary topics Toeplitz, Hankel, and de Branges

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2023

Description based on print version record.

Other Format:

Print version: Dym, H. 1938- Linear algebra in action /

ISBN:

9781470474188 (online)

Access Restriction:

Restricted for use by site license.