This class was created by Brainscape user Luca Kollmer. Visit their profile to learn more about the creator.
By:
Luca Kollmer
- decks
- flashcards
- learners
Decks in this class (19)
1. Intro to Optimisation
Definitionoptimisation problem,
Definitionfeasible set,
Definitionlocal minimiser
4
cards
2. Prerequisites
Definitionsymmetric matrix,
Definitioncondition number,
Definitionself adjoint
8
cards
3. Convexity I
Definition 31convex setconvex body,
Lemma 32three properties of conve...,
Definitionconvex hullconvex combi...
7
cards
4. Convexity II
Definition 41convex functionstric...,
Theorem 42local minimisers of con...,
Theorem 461 f in c 1 rr n convex ...
3
cards
6. Iterative Algorithms II
Definitiondescent directionoptima...,
Definition sufficient decrease co...,
Definition 62convergence
5
cards
7. Newton's Method
Definitionnewton s method,
Lemma 71descent direction,
Do not compute inverse of hessian...
5
cards
8. Linear Programming I: Polyhedra
Definitionlinear program,
Definition 82polyhedronsupporting...,
Definition 86polytope
5
cards
9. Linear Programming II: Duality
Definitionconvex cone,
Lemma 91 hyperplane separation fo...,
Theorem 92 farkas lemma
7
cards
10. Lagrange Duality
Definitionconvex problem,
Theorem 101in convex f x is minim...,
Lagrange dualitylagrangian
6
cards
11. KKT Optimality Conditions
Theorem 111 slate s conditions,
Definition,
Theorem 114 kkt conditions
4
cards
13. Introduction to Approximation Theory
Definitionspace of trigonometric ...,
Lemma 132comparison of 2 and max ...
2
cards
14. Polynomial Approximation in the max-norm I
Definitionspace of polynomials of...,
Theorem 141 weierstrass approxima...,
Minimax polynomial problem
4
cards
15. Polynomial Approximation in the max-norm II
Theorem 151 oscillation theorem,
Definition 153chebyshev polynomia...,
Lemma 154the chebyshev polynomial...
5
cards
16. Polynomial Approximation in the 2-norm I
Definitionlebesque spacebest appr...,
Definition 162system of orthogona...
2
cards
17. Polynomial Approximation in the 2-norm II
Theorem 172existence of minimax p...,
Bessel inequality,
Theorem 173p_n is best 2 norm app...
3
cards
18. Approximation by Rational Functions
Pade approximation
1
cards
19. Trigonometric Approximation and Fourier Series
Definitionspace of all trigonomet...,
Space of 2pi periodic trigonometr...,
Linearly independent and orthogon...
7
cards
20. Fourier Series II
Definitionerror and pointwise con...,
Definitionuniform erroruniform co...,
Discrete fourier transform
4
cards
23. Best-fit Subspaces and SVD II
Theorem 231best fit n dimensional...,
Lemma 232if a has positive entrie...,
Definitionmatrix 2 norm spectral ...
6
cards
More about
MA265 MMM3
- Class purpose General learning
Learn faster with Brainscape on your web, iPhone, or Android device. Study Luca Kollmer's MA265 MMM3 flashcards now!
How studying works.
Brainscape's adaptive web mobile flashcards system will drill you on your weaknesses, using a pattern guaranteed to help you learn more in less time.
Add your own flashcards.
Either request "Edit" access from the author, or make a copy of the class to edit as your own. And you can always create a totally new class of your own too!
What's Brainscape anyway?
Brainscape is a digital flashcards platform where you can find, create, share, and study any subject on the planet.
We use an adaptive study algorithm that is proven to help you learn faster and remember longer....
