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Year 2
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Term 2
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A7 - Numerical Analysis
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Theorems
Theorems
27 items under this folder.
Aug 19, 2026
01 - Existence of Interpolating Polynomials
numerical-analysis
Aug 19, 2026
02 - Uniqueness of Interpolating Polynomial
Aug 19, 2026
03 - Error Formula for Polynomial Interpolation
numerical-analysis
Aug 19, 2026
04 - Hermite Interpolation Theorem
numerical-analysis
Aug 19, 2026
05 - Error Formula for Hermite Interpolating Polynomials
numerical-analysis
Aug 19, 2026
06 - Lebesgue Inequality
numerical-analysis
Aug 19, 2026
07 - Stability of Gaussian Elimination with Partial Pivoting
numerical-analysis
Aug 19, 2026
08 - QR Decomposition
numerical-analysis
Aug 19, 2026
09 - Solution to Least Squares Problem
numerical-analysis
Aug 19, 2026
10 - SVD
numerical-analysis
Aug 19, 2026
11 - Best Rank-𝑟 Approximation Theorem
numerical-analysis
Aug 19, 2026
12 - Ostrowski
numerical-analysis
Aug 19, 2026
13 - Gerschgorin's Theorem
numerical-analysis
Aug 19, 2026
14 - Gerschgorin's 2nd Theorem
numerical-analysis
Aug 19, 2026
15 - Best Approximation by Orthogonal Projection
numerical-analysis
Aug 19, 2026
16 - Non-Singularity of Matrix of Normal Form
numerical-analysis
Aug 19, 2026
17 - Three-Term Recurrence Relation for Orthogonal Polynomials
numerical-analysis
Aug 19, 2026
18 - Exactness of Gaussian Quadrature
numerical-analysis
Aug 19, 2026
19 - Error Bound for Gauss Quadrature
numerical-analysis
Aug 19, 2026
20 - Picard's Theorem
numerical-analysis
Aug 19, 2026
21 - Global Error Bound for One-Step Methods
numerical-analysis
Aug 19, 2026
22 - Spectral Criterion for Asymptotic Stability
numerical-analysis
Aug 19, 2026
23 - Runge-Kutta Solution of the Dahlquist Test Equation
numerical-analysis
Aug 19, 2026
24 - Consistency and Zero-Stability Imply Convergence
numerical-analysis
Aug 19, 2026
25 - Order Conditions for Linear Multistep Methods
numerical-analysis
Aug 19, 2026
26 - Dahlquist’s Equivalence Theorem
numerical-analysis
Aug 19, 2026
27 - Dahlquist’s Second Barrier
numerical-analysis