Positive Definite Matrices

1-Dimensional Kinematics, Speed, Velocity, Acceleration

MIT / Physics
Walter Lewin

This lecture is an introduction to kinematics which ultimately leads (in Lecture 4) to trajectories in three-dimensions. Professor Lewin begins with a description of one-dimensional motion of a particle. He talks about average velocity, the importance of + and - signs, and our free choice of origin. He moves into a conversation about average speed vs. average velocity, instantaneous velocity (reviewing when velocity is zero,...more

Complex Matrices; Fast Fourier Transform

MIT / Mathematics
Gilbert Strang

Convergence Proof, Stopping Criterion

Stanford / Mathematics
Stephen Boyd

Convergence Proof, Stopping Criterion, Example: Piecewise Linear Minimization, Optimal Step Size When F* Is Known, Finding A Point In The Intersection Of Convex Sets, Alternating Projections, Example: Positive Semidefinite Matrix Completion, Speeding Up Subgradient Methods, A Couple Of Speedup Algorithms, Subgradient Methods For Constrained Problems, Projected Subgradient Method, Linear Equality Constraints, Example: Least L_1-Norm

DC Or Static Gain Matrix

Stanford / Mathematics
Stephen Boyd

DC Or Static Gain Matrix, Discretization With Piecewise Constant Inputs, Causality, Idea Of State, Change Of Coordinates, Z-Transform, Symmetric Matrices, Quadratic Forms, Matrix Nom, And SVD, Eigenvalues Of Symmetric Matrices, Interpretations Of Eigenvalues Of Symmetric Matrices, Example: RC Circuit

Dealing with Challenging Employees

Stanford / Entrepreneurship
Stan Christensen
Dan Springer

Dan Springer, CEO of Responsys, talks about the challenges of dealing with problematic employees. Springer suggests that it is easier to deal with clear under-performers whereas the greater challenge is to address team members who have both positive and damaging qualities. Springer suggests that the best response to these situations is to have a clear and frank conversation with the team member which gives them an opportunity to improve.