Homework

	Homework 1 due: 5 September 2018
Problem 1	Machine Epsilon
Problem 3	Create Library
Problem 4	Hello OpenMP
Problem 5	Taylor Series
Problem 6	Antiderivatives
Problem 7	Quadratic Equation
Problem 8	Initial Value Problems
Problem 9	Machine Precision in Practice
Problem 10	Graphs

	Homework 2 due: 29 September 2018
Problem 1	Absolute Error
	Relative Error
Problem 2	Derivative Approximation
Problem 3	Problem 3
Problem 4	Fixed Point Iteration
Problem 5	Bisection Method
Problem 6	Newton’s Method
Problem 7	Secant Method
Problem 8	Hybrid Newton’s Method
Problem 9	Hybrid secant Method
Problem 10	Online Search for Bracketing of Roots

	Homework 3 due: 14 December 2018
Problem 1	l_p Vector Norms
	l Infinity Vector Norm
Problem 2	Absolute Vector Error
	Relative Vector Error
Problem 3	a. b. Vector Addition and Subtraction
	c. Vector Scalar Multiplication
	d. Inner Product
	e. Cross Product
Problem 4	Matrix One Norm
	Matrix Inf Norm
	Matrix Frobenius Norm
Problem 5	a. b. Matrix Addition and Subtraction
	c. Matrix Transpose
	d. Matrix Trace
	e. Scalar Matrix Multiplication
	f. Matrix Vector Multiplication
	g. Matrix Matrix Multiplication
Problem 6	a. Matrix Outer Product
	b. Kronecker Product
	c. Matrix Determinant
Problem 7	a. Parallel Matrix Vector Product
	b. Parallel Matrix Multiplication
Problem 8	a. Inner Product (Dot Product)
	b. Cross Product
Problem 9	Orthogonal Basis
Problem 10	Kronecker Product Applications

	Homework 4 due: 14 December 2018
Problem 1	Gaussian Elimination Square
Problem 2	Gaussian Elimination Rectangular
Problem 3	Forward Substitution
Problem 4	Back Substitution
Problem 5	Solve Linear System Gaussian Elimination
Problem 6	LU Factorization
Problem 7	Solve Linear System LU Factorization
Problem 8	Cholesky Factorization
Problem 9	Cholesky Factorization Test
Problem 10	Solve Linear System Cholesky Factorization
Problem 11	Test Problems

	Homework 5 due: 14 December 2018
Problem 1	Induced Matrix One Norm
	Induced Matrix Inf Norm
Problem 2	Matrix Generator
	Right Side Generator
Problem 3	Jacobi Iteration
Problem 4	Gauss Seidel
Problem 5	Steepest Descent
Problem 6	Conjugate Gradient
Problem 7	Parallel Jacobi Iteration
Problem 8	Parallel Gauss Seidel
Problem 9	Parallel Conjugate Gradient

	Homework 6 due: 14 December 2018
Problem 1	Power Method
Problem 2	Inverse Power Method
Problem 3	2 Condition Number Estimate
Problem 4	Parallel Power Method
Problem 5	Parallel Inverse Power Method
Problem 6	Parallel 2 Condition
Problem 7	2 Condition Comparison
Problem 8	2 Condition Comparison