An introduction to numerical analysis for electrical and computer engineers
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| Corporate Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ:
Wiley,
c2004
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| Subjects: |
Table of Contents:
- Functional Analysis Ideas
- Some Sets
- Some Special Mappings: Metrics, Norms, and Inner Products
- Metrics and Metric Spaces
- Norms and Normed Spaces
- Inner Products and Inner Product Spaces
- The Discrete Fourier Series (DFS)
- Complex Arithmetic
- Elementary Logic
- Number Representations
- Fixed-Point Representations
- Floating-Point Representations
- Rounding Effects in Dot Product Computation
- Machine Epsilon
- Review of Binary Number Codes
- Sequences and Series
- Cauchy Sequences and Complete Spaces
- Pointwise Convergence and Uniform Convergence
- Fourier Series
- Taylor Series
- Asymptotic Series
- More on the Dirichlet Kernel
- COordinate Rotation DIgital Computing (CORDIC)
- The Concept of a Discrete Basis
- Rotating Vectors in the Plane
- Computing Arctangents
- Mathematical Induction
- Catastrophic Cancellation
- Linear Systems of Equations
- Least-Squares Approximation and Linear Systems
- Least-Squares Approximation and Ill-Conditioned Linear Systems
- Condition Numbers
- LU Decomposition
- Least-Squares Problems and QR Decomposition
- Iterative Methods for Linear Systems
- Hilbert Matrix Inverses
- SVD and Least Squares
- Orthogonal Polynomials
- General Properties of Orthogonal Polynomials
- Chebyshev Polynomials
- Hermite Polynomials
- Legendre Polynomials
- An Example of Orthogonal Polynomial Least-Squares Approximation
- Uniform Approximation
- Interpolation
- Lagrange Interpolation
- Newton Interpolation
- Hermite Interpolation
- Spline Interpolation.