Spectral Theory 1/46 Contents 1 Preliminary Complex Numbers Complex Arrays 2 Eigenvalue Decomposition 3 Singular Value Decomposition Singular Value Decomposition: Overview Understanding SVD 4 Properties of SVD Properties of SVD Unitary Diagonalization and SVD Reduction of Dimensions 2/46 Preliminary 3/46 Complex Numbers 4/46 Complex Numbers In what follows, we assume all scalars, vectors, and matrices […]
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Overdetermined Linear Systems 1/63 Contents 1 Introduction Opening Example: Polynomial Approximation The Normal Equations Appendix: Derivation of Normal Equation 2 QR Factorization Preliminary: Orthogonality QR Factorization Appendix: Gram-Schmidt Orthogonalization 3 QR Algorithm Revisiting Least Squares Householder Transformation and QR Algorithm Supplementary 1: Projection and Reection Supplementary 2: Conditioning and Stability 2/63 Introduction 3/63 Opening Example:
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Module 2: Square Linear Systems 1/94 Preliminary: Floating-Point Numbers 2/94 Absolute and Relative Errors In numerical analysis, we use an algorithm to approximate some quantity of interest. ‚ We estimate of the accuracy of the computed value via an absolute error or a relative error: eabs “ Aapprox ́ Aexact (absolute error) erel “ Aapprox
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Module 1: Programming in MATLAB 1/148 Relational and Logical Operations 2/148 FPRINTF: Alternate Displaying Function Combine literal text with numeric data. ‚ Number of digits to display fprintf(’There are %d days in a year.\n’, 365) ‚ Complex number z = exp(1i*pi/4); fprintf(’%f+%fi\n’, real(z), imag(z)); 3/148 FPRINTF: Formatting Operator %[field width][precision][conversion character] e.g. %12.5f. ‚ %:
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Objectives COMP4336/9336 Mobile Data Networking Lab 6: Observation of Bluetooth Low Energy Frequency Hopping • To observe and analyse BLE (Bluetooth 4) Frequency Hopping (Algorithm #1) Copyright By PowCoder代写 加微信 powcoder Prerequisites • Access to MATLAB (All UNSW students have free access to MATLAB) • Knowledge of Bluetooth 4 (BLE) frequency hopping Algorithm #1. This
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Problem Set 1 (Solow-Swan, Ramsey, Diamond Models) ECON 6002/6702 Copyright By PowCoder代写 加微信 powcoder Due date: Wed, 6 September, 6pm online ————————————————————————————————————- NOTE: To receive full marks, show your workings for algebraic manipulations. 1. Suppose the aggregate production function in the Solow-Swan model is Cobb-Douglas, y = kα, with α = 0.3. Assume population growth
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Nonlinear econometrics for finance HOMEWORK 2 Detailed solutions Functions, minimization/maximization and GMM This homework consists of a review of Matlab functions and minimization/maximization (Question 1). Matlab functions and minimization are then used (in Question 2) to estimate the consumption CAPM using GMM. You will use maximization in the next homework. Copyright By PowCoder代写 加微信 powcoder
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Capacity Planning for Computer Systems and Networks Week 5A: Discrete event simulation (2). Independent replications. Confidence interval. • Two topics Copyright By PowCoder代写 加微信 powcoder • Howtostructurediscreteeventsimulationofqueues • HowtousethePythonrandomlibrarytogeneraterandom numbers for inter-arrival and service times • You should be able to simulate • Manytypesofqueues • Single-server or multi-server • Different queueing disciplines • Manyinter-arrivaltimeandservicetimedistributions •
UC Berkeley – Computer Science CS61B: Data Structures Midterm #1, Spring 2021 This test has 7 questions across 18 pages worth a total of 1280 points, and is to be completed in 110 minutes. The exam is closed book, except that you are allowed to use unlimited written cheat sheet (front and back). No calculators
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UC Berkeley – Computer Science CS61B: Data Structures Midterm #1, Spring 2021 This test has 7 questions across 17 pages worth a total of 1280 points, and is to be completed in 110 minutes. The exam is closed book, except that you are allowed to use unlimited written cheat sheet (front and back). No calculators
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