PHY 711 Classical Mechanics and Mathematical Methods 11-11:50 AM MWF Olin 107 Plan for Lecture 37 Review of mathematical methods – More comments on complex numbers Topics concerning matrices 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
12/02/2016 PHY 711 Fall 2013 -- Lecture 34 PHY 711 Fall 2016 -- Lecture 37 2
12/02/2016 PHY 711 Fall 2016 -- Lecture 37
12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Evaluating contour integrals in the presence of poles z4 z1 z2 z3 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
A function is “meromorphic” in a region of the complex plane if it is analytic except for poles in that region 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Useful theorem: 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
C P P Z 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Some useful properties of matrices 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Singular value decomposition 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Singular value decomposition -- continued 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
12/02/2016 PHY 711 Fall 2016 -- Lecture 37
12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Example: = = 12/02/2016 PHY 711 Fall 2016 -- Lecture 37
Note that SVD can be applied to rectangular matrices UT 12/02/2016 PHY 711 Fall 2016 -- Lecture 37