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Page 1: Introduction to Nonlinear Optimization
Page 2: Introduction to Nonlinear Optimization

L02-S00

Introduction to Nonlinear Optimization

Lecture 02

August 31, 2021

Beck, sections 1.4

MATH 5570/6640, ME EN 6025 – U. Utah Optimization

Page 3: Introduction to Nonlinear Optimization

L02-S01Eigenvalues and eigenvectors

MATH 5570/6640, ME EN 6025 – U. Utah Optimization

Page 4: Introduction to Nonlinear Optimization
Page 5: Introduction to Nonlinear Optimization
Page 6: Introduction to Nonlinear Optimization

L02-S02The spectral theorem

MATH 5570/6640, ME EN 6025 – U. Utah Optimization

Page 7: Introduction to Nonlinear Optimization
Page 8: Introduction to Nonlinear Optimization

L02-S03Rayleigh quotients

MATH 5570/6640, ME EN 6025 – U. Utah Optimization

Page 9: Introduction to Nonlinear Optimization

L02-S04Optimality of Rayleigh quotients

MATH 5570/6640, ME EN 6025 – U. Utah Optimization

Page 10: Introduction to Nonlinear Optimization
Page 11: Introduction to Nonlinear Optimization

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