Tentamen

Question 1

What is the algorithm for backwards substitution?

Answer 1

Question 2

What is the algorithm for Gaussian elimination?

Answer 2

Question 3

What is the Gaussian Elimination algorithm in Matrix Algebra?

Answer 3

Question 4

What is the goal of Pivoting?

Answer 4

Question 5

What is Trivial Pivoting, and how to do it?

Answer 5

Question 6

What are the advantages and disadvantages of trivial plotting?

Answer 6

Question 7

What is Partial Pivoting, and how to do it?

Answer 7

Question 8

What are the advantages and disadvantages of partial pivoting?

Answer 8

Question 9

What is Complete pivoting, and how to do it?

Answer 9

Question 10

What are the advantages and disadvantages of complete pivoting?

Answer 10

Question 11

What is scaled partial pivoting, and how to do it?

Answer 11

Question 12

What are the advantages and disadvantages of scaled partial pivoting?

Answer 12

Question 13

Which of the pivoting methods has numerical rounding errors?

Answer 13

Question 14

What is the definition of an eigenvalue and eigenvector?

Answer 14

Question 15

How to proof the Power method?

Answer 15

Question 16

What are some important notes of the power method?

Answer 16

Question 17

What are the steps for the power method?

Answer 17

Question 18

What is the inverse power method?

Answer 18

Question 19

What is the Shifted inverse power method (not the algorithm)?

Answer 19

Question 20

What is the algorithm of the shifted power method?

Answer 20

Question 21

What is a Linear Congruential Generator?

Answer 21

Question 22

What is the inverse CDF method?

Answer 22

Question 23

What are the advantages and disadvantages of the Inverse CDF Method?

Answer 23

Question 24

What is the Acceptation-Rejection Method?

Answer 24

Question 25

What is the algorithm of the Acceptation-rejection method?

Answer 25

Question 26

What is the proof that 1/M is the chance the Acceptation-Rejection method is accepted?

Answer 26

Question 27

What is the Newton-Raphson method algorithm?

Answer 27

Question 28

What are the Advantages and Disadvantages of the Newton-Raphson method?

Answer 28

Question 29

What is the BFGS algorithm?

Answer 29

Question 30

What are the advantages and disadvantages of the BFGS method?

Answer 30

Question 31

What is the Nelder-Mead algorithm?

Answer 31

Question 32

How to improve a simplex?

Answer 32

Question 33

How to shrink a simplex?

Answer 33

Question 34

What are Nelder-Mead convergence criterea?

Answer 34

Question 35

What are the advantages and disadvantages of the Nelder-Mead method?

Answer 35

Question 36

What is the algorithm for the Differential Evolution Method?

Answer 36

Question 37

What are the advantages and disadvantages of the Differential Evolution method?

Answer 37