- Meeting:
MWF, 10:30am-11:20am, CLK 120

- Office hours:
Thu 1-2:30pm; also by appointment

(fairly draft-y)__Lecture Notes__- Lecture 1,
*PD and PSD matrices: basic properties*(01/04) - Lecture 2,
*PD and PSD matrices: basics and roots*(01/06) - Lecture 3,
*PD and PSD matrices: roots and Cholesky factors*(01/09) - Lecture 4,
*PD and PSD matrices: Cholesky factorization; interlacing of singular values*(01/11) - Lecture 5,
*PD and PSD matrices: simultaneous diagonalization; positive and nonnegative matrices*(01/13) - Lecture 6,
*Positive and nonegative matrices: Perron theorem*(01/18) - Lecture 7,
*Positive and nonnegative matrices: Perron and Perron-Frobenius Theorems*(01/20) - Lecture 8,
*Positive and nonnegative matrices: Perron and Perron-Frobenius Theorems, II*(01/23) - Lecture 9,
*Positive and nonnegative matrices: Perron-Frobenius Theorem*(01/25) - Lecture 10,
*Positive and nonnegative matrices: Perron-Frobenius Theorem; Stochastic and Doubly Stochastic Matrices*(01/27) - Lecture 11,
*Stochastic and Doubly Stochastic Matrices* - Lecture 12,
*Perturbation Theory: Gersgorin disks* - Lecture 13,
*Perturbation Theory: Gersgorin disks II* - Lectures 14-15,
*Perturbation Theory: Hoffman-Wielandt and differentiability of eigenvalues* - Lecture 16,
*Perturbation Theory for Singular Values* - Lecture 17,
*Computation and Stability* - Lecture 18,
*A priori errors* - Lecture 19,
*Linear Systems and Krylov Subspace Methods* - Lecture 20,
*Krylov Subspace Methods: GMRES* - Lecture 21,
*Krylov Subspace Methods: Lanczos and CG* - Lecture 22,
*Krylov Subspace Methods: Conjugate Gradient* - Lectures 23-24,
*Krylov Subspace Methods: CG and Preconditioning*