Math 2.0

Resources / course

Numerical Linear Algebra W8EK6EHRA7

URIm2://res/W8EK6EHRA7
Kindcourse
CreatorsD. N Pandey (instructor), P.N. Agrawal (instructor)
Date2018-01-16
Scopein
Idscourse 00582g326:111107106

Expressions

e1: edition

Languageen
Date2018-01-16
Contents
  • part 1: Unit-1
  • session 1: Matrix Operations and Types of Matrices
  • session 2: Determinant of a Matrix
  • session 3: Rank of a Matrix
  • session 4: Vector Space-I
  • session 5: Vector Space-II
  • part 2: Unit-2
  • session 6: Linear dependence and independence
  • session 7: Bases and Dimension - I
  • session 8: Bases and Dimension - II
  • session 9: Linear Transformation - I
  • session 10: Linear Transformation - II
  • part 3: Unit-3
  • session 11: Orthogonal Subspaces
  • session 12: Row Space, Column Space and Null Space
  • session 13: Eigen Values & Eigen Vectors-I
  • session 14: Eigen Values & Eigen Vectors-II
  • session 15: Diagonalizable Matrices
  • part 4: Unit-4
  • session 16: Orthogonal Sets
  • session 17: Gram Schmidt ortthogonalization and orthogonal bases
  • session 18: Introduction to Matlab
  • session 19: Sign Integer Representation
  • session 20: Computer Representation of Numbers
  • part 5: Unit-5
  • session 21: Floating Point Representation
  • session 22: Round-off Error
  • session 23: Error Propagation in Computer Arithmetic
  • session 24: Addition and Multiplication of Floating Point Numbers
  • session 25: Conditioning and Condition Numbers-I
  • part 6: Unit-6
  • session 26: Conditioning and Condition Numbers-II
  • session 27: Stability of Numerical Algorithms-I
  • session 28: Stability of Numerical Algorithms-II
  • session 29: Vector Norms - I
  • session 30: Vector Norms - II
  • part 7: Unit-7
  • session 31: Matrix Norms - I
  • session 32: Matrix Norms - II
  • session 33: Convergent Matrices - I
  • session 34: Convergent Matrices - II
  • session 35: Stability of non linear system
  • part 8: Unit-8
  • session 36: Condition number of a matrix: Elementary Properties
  • session 37: Sensitivity Analysis-I
  • session 38: Sensitivity Analysis-II
  • session 39: Residual Theorem
  • session 40: Nearness to Singularity
  • part 9: Unit-9
  • session 41: Estimation of the Condition Number
  • session 42: Singular value decomposition of a matrix - I
  • session 43: Singular value decomposition of a matrix - II
  • session 44: Orthonormal Projections
  • session 45: Algebraic and geometric properties of SVD
  • part 10: Unit-10
  • session 46: SVD and their applications
  • session 47: Perturbation theorem for singular values
  • session 48: Outer product expansion of a matrix
  • session 49: Least square solutions - I
  • session 50: Least square solutions - II
  • part 11: Unit-11
  • session 51: Householder matrices
  • session 52: Householder matrices and their applications
  • session 53: Householder QR factorization- I
  • session 54: Householder QR factorization- II
  • session 55: Basic theorems on eigenvalues and QR method
  • part 12: Unit-12
  • session 56: Power Method
  • session 57: Rate of Convergence of Power Method
  • session 58: Applications of Power Method with Shift
  • session 59: Jacobi Method-I
  • session 60: Jacobi Method-II

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