Numerical algorithms : methods for computer vision, machine learning, and graphics /: methods for computer vision, machine learning, and graphics. (2015)

• Record Type: Book
• Further Information: Note: Justin Solomon.
• Authors: Solomon, Justin
• Contents: Preliminaries; Mathematics Review; PRELIMINARIES: NUMBERS AND SETS; VECTOR SPACES; LINEARITY; NONLINEARITY: DIFFERENTIAL CALCULUS Numerics and Error Analysis ; STORING NUMBERS WITH FRACTIONAL PARTS; UNDERSTANDING ERROR; PRACTICAL ASPECTS Linear Algebra; Linear Systems and the LU Decomposition ; SOLVABILITY OF LINEAR SYSTEMS; ADHOC SOLUTION STRATEGIES; ENCODING ROW OPERATIONS; GAUSSIAN ELIMINATION; LU FACTORIZATION Designing and Analyzing Linear Systems; SOLUTION OF SQUARE SYSTEMS; SPECIAL PROPERTIES OF LINEAR SYSTEMS; SENSITIVITY ANALYSIS Column Spaces and QR ; THE STRUCTURE OF THE NORMAL EQUATIONS; ORTHOGONALITY; STRATEGY FOR NONORTHOGONAL MATRICES; GRAMSCHMIDT ORTHOGONALIZATION; HOUSEHOLDER TRANSFORMATIONS; REDUCED QR FACTORIZATION Eigenvectors ; MOTIVATION; PROPERTIES OF EIGENVECTORS; COMPUTING A SINGLE EIGENVALUE; FINDING MULTIPLE EIGENVALUES; SENSITIVITY AND CONDITIONING Singular Value Decomposition ; DERIVING THE SVD; APPLICATIONS OF THE SVD Nonlinear Techniques; Nonlinear Systems ; ROOTFINDING IN A SINGLE VARIABLE; MULTIVARIABLE PROBLEMS; CONDITIONING Unconstrained Optimization ; UNCONSTRAINED OPTIMIZATION: MOTIVATION; OPTIMALITY; ONE-DIMENSIONAL STRATEGIES; MULTIVARIABLE STRATEGIES Constrained Optimization ; MOTIVATION; THEORY OF CONSTRAINED OPTIMIZATION; OPTIMIZATION ALGORITHMS; CONVEX PROGRAMMING Iterative Linear Solvers ; GRADIENT DESCENT; CONJUGATE GRADIENTS; PRECONDITIONING; OTHER ITERATIVE ALGORITHMS Specialized Optimization Methods ; NONLINEAR LEAST SQUARES; ITERATIVELYREWEIGHTED LEAST SQUARES; COORDINATE DESCENT AND ALTERNATION; GLOBAL OPTIMIZATION; ONLINE OPTIMIZATION Functions, Derivatives, and Integrals; Interpolation ; INTERPOLATION IN A SINGLE VARIABLE; MULTIVARIABLE INTERPOLATION; THEORY OF INTERPOLATION Integration and Differentiation ; MOTIVATION; QUADRATURE; DIFFERENTIATION Ordinary Differential Equations ; MOTIVATION; THEORY OF ODES; TIMESTEPPING SCHEMES; MULTIVALUE METHODS; COMPARISON OF INTEGRATORS Partial Differential Equations ; MOTIVATION; STATEMENT AND STRUCTURE OF PDES; REPRESENTING DERIVATIVE OPERATORS; SOLVING PARABOLIC AND HYPERBOLIC EQUATIONS; NUMERICAL CONSIDERATIONS Exercises appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 005.1; Computer algorithms; Computer vision; Image processing; Machine learning
• Languages: English
• ISBNs: 9781482251937; 9781482251890; 9781482251906
• Related ISBNs: 9781482251883
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.