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lecture
Lecture 32: Nonlinear optimization: algorithms and theory
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lecture
Lecture 31: Simplex method in linear programming
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lecture
Lecture 30: Network flows and combinatorics: max flow = min cut
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lecture
Lecture 29: Applications in signal and image processing: compression
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lecture
Lecture 27: Multiresolution, wavelet transform and scaling function
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lecture
Lecture 28: Splines and orthogonal wavelets: Daubechies construction
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lecture
Lecture 25: Filters in the time and frequency domain
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lecture
Lecture 26: Filter banks and perfect reconstruction
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 24: Discrete filters: lowpass and highpass
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 23: Fast fourier transform and circulant matrices
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
1988 views
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lecture
Lecture 22: Fourier expansions and convolution
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
998 views
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lecture
Lecture 21: Spectral method: dynamic equations
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
737 views
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lecture
Lecture 19: Optimization and minimum principles: Euler equation
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
950 views
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lecture
Lecture 20: Finite element method: equilibrium equations
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
2115 views
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lecture
Lecture 17: Finite difference methods: equilibrium problems
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 18: Finite difference methods: stability and convergence
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lecture
Lecture 16: Dynamic estimation: Kalman filter and square root filter
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 15: Numerical methods in estimation: recursive least squares and covariance matrix
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
2933 views
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lecture
Lecture 14: Numerical linear algebra: SVD and applications
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2181 views
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lecture
Lecture 13: Numerical linear algebra: orthogonalization and A = QR
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1120 views
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lecture
Lecture 12: Solutions of initial value problems: eigenfunctions
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
439 views
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lecture
Lecture 11: Initial value problems: wave equation and heat equation
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
1026 views
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lecture
Lecture 9: Solutions of Laplace equation: complex variables
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
1831 views
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lecture
Lecture 10: Delta function and Green's function
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 8: Applications to boundary value problems: Laplace equation
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
1024 views
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lecture
Lecture 7: Discrete vs. continuous: differences and derivatives
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
685 views
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lecture
Lecture 6: Underlying theory: applied linear algebra
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
641 views
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lecture
Lecture 5: Applications to dynamics: eigenvalues of K, solution of Mu'' + Ku = F(t)
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
567 views
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lecture
Lecture 4: Applications to linear estimation: least squares
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
1369 views
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lecture
Lecture 3: Network applications: A = incidence matrix
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
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lecture
Lecture 1: Positive definite matrices K = A'CA
as author at MIT 18.085 Computational Science and Engineering I - Fall 2007,
4152 views
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lecture
Lecture 2: One-dimensional applications: A = difference matrix
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lecture
Lecture 34: Final Course Review
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Lecture 33: Left and Right Inverses; Pseudoinverse
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Lecture 32: Quiz 3 Review
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Lecture 31: Change of Basis; Image Compression
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lecture
Lecture 30: Linear Transformations and Their Matrices
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Lecture 28: Similar Matrices and Jordan Form
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lecture
Lecture 29: Singular Value Decomposition
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lecture
Lecture 27: Positive Definite Matrices and Minima
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lecture
Lecture 26: Complex Matrices; Fast Fourier Transform
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Lecture 25: Symmetric Matrices and Positive Definiteness
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lecture
Lecture 24b: Quiz 2 Review
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lecture
Lecture 24: Markov Matrices; Fourier Series
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Lecture 23: Differential Equations and exp(At)
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Lecture 22: Diagonalization and Powers of A
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lecture
Lecture 21: Eigenvalues and Eigenvectors
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lecture
Lecture 20: Cramer's Rule, Inverse Matrix, and Volume
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lecture
Lecture 19: Determinant Formulas and Cofactors
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lecture
Lecture 18: Properties of Determinants
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lecture
Lecture 17: Orthogonal Matrices and Gram-Schmidt
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lecture
Lecture 16: Projection Matrices and Least Squares
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lecture
Lecture 15: Projections onto Subspaces
as author at MIT 18.06 Linear Algebra Spring 2005,
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lecture
Lecture 14: Orthogonal Vectors and Subspaces
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lecture
Lecture 13: Quiz 1 Review
as author at MIT 18.06 Linear Algebra Spring 2005,
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lecture
Lecture 12: Graphs, Networks, Incidence Matrices
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lecture
Lecture 11: Matrix Spaces; Rank 1; Small World Graphs
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lecture
Lecture 10: The Four Fundamental Subspaces
as author at MIT 18.06 Linear Algebra Spring 2005,
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lecture
Lecture 9: Independence, Basis, and Dimension
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lecture
Lecture 8: Solving Ax = b: Row Reduced Form R
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lecture
Lecture 7: Solving Ax = 0: Pivot Variables, Special Solutions
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lecture
Lecture 6: Column Space and Nullspace
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lecture
Lecture 5: Transposes, Permutations, Spaces R^n
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lecture
Lecture 4: Factorization into A = LU
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lecture
Lecture 3: Multiplication and Inverse Matrices
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lecture
Lecture 2: Elimination with Matrices
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Lecture 1: The Geometry of Linear Equations
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Springer,
[syn]
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