'Matrices' Video Lecture

Matrices

  • Course: Dynamic Data Assimilation: an introduction
  • Discipline: Mathematics
  • Faculty: Prof. S. Lakshmivarahan
  • Institute: IIT Madras

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    Course Video Lectures An Overview Data Mining, Data assimilation and prediction A classification of forecast errors Finite Dimensional Vector Space Matrices Matrices Continued Multi-variate Calculus Optimization in Finite Dimensional Vector spa.. Deterministic, Static, linear Inverse (well-p.. Deterministic, Static, Linear Inverse (Ill-po.. A Geometric View – Projections Deterministic, Static, nonlinear Inverse Prob.. On-line Least Squares Examples of static inverse problems Interlude and a Way Forward Matrix Decomposition Algorithms Matrix Decomposition Algorithms Continued Minimization algorithms Minimization algorithms Continued Inverse problems in deterministic Inverse problems in deterministic Continued Forward sensitivity method Relation between FSM and 4DVAR Statistical Estimation Statistical Least Squares Maximum Likelihood Method Bayesian Estimation From Gauss to Kalman-Linear Minimum Variance .. Initialization Classical Method Optimal interpolations A Bayesian Formation-3D-VAR methods Linear Stochastic Dynamics - Kalman Filter Linear Stochastic Dynamics - Kalman Filter Co.. Linear Stochastic Dynamics - Kalman Filter Co.. Covariance Square Root Filter Nonlinear Filtering Ensemble Reduced Rank Filter Basic nudging methods Deterministic predictability Predictability A stochastic view and Summary
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