This estimation reference text thoroughly describes matrix factorization methods successfully employed by numerical analysts, familiarizing readers with the techniques that lead to efficient, economical, reliable, and flexible estimation algorithms. Geared toward advanced undergraduates and graduate students, this pragmatically oriented presentation is also a useful reference, featuring numerous appendixes. 1977 edition.
This estimation reference text thoroughly describes matrix factorization methods successfully employed by numerical analysts, familiarizing readers with the techniques that lead to efficient, economical, reliable, and flexible estimation algorithms. Geared toward advanced undergraduates and graduate students, this pragmatically oriented presentation is also a useful reference, featuring numerous appendixes. 1977 edition.
1. Introduction 2. Review of Least Squares Data Processing and the Kalman Filter Algorithm 3. Positive Definite Matrices, the Cholesky Decomposition, and Some Applications 4. Householder Orthogonal Transformations 5. Sequential Square Root Data Processing 6. Inclusion of Mapping Effects and Process Noise 7. Treatment of Biases and Correlated Process Noise 8. Covariance Analysis of Effects Due to Mismodeled Variables and Incorrect Filter a Priori Statistics 9. SRIF Error Analysis of Effects Due to Mismodeled Variables and Incorrect Filter a Prior Statistics 10. Square Root Information Smoothing Bibliography Index
1. Introduction 2. Review of Least Squares Data Processing and the Kalman Filter Algorithm 3. Positive Definite Matrices, the Cholesky Decomposition, and Some Applications 4. Householder Orthogonal Transformations 5. Sequential Square Root Data Processing 6. Inclusion of Mapping Effects and Process Noise 7. Treatment of Biases and Correlated Process Noise 8. Covariance Analysis of Effects Due to Mismodeled Variables and Incorrect Filter a Priori Statistics 9. SRIF Error Analysis of Effects Due to Mismodeled Variables and Incorrect Filter a Prior Statistics 10. Square Root Information Smoothing Bibliography Index
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