C S C I 5 3 0 4
Lecture Notes
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- Set number 8 : Full size:
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Posted on:
Mon 21 Oct 2024 06:45:22 PM CDT
Topics:
The Gram-Schmidt algorithms and the QR Factorization;
Least-squares problems; Applications; Data fitting;
Supplement: Solutions to exercises and more.
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- Set number 7 : Full size:
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Posted on:
Mon 14 Oct 2024 06:33:38 PM CDT
Topics:
Positive Definiteness; Symmetric Positive Matrices;
The LDLT and Cholesky factorizations.
Supplement: Solutions to exercises and more.
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- Set number 6 : Full size:
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Posted on:
Thu Oct 10 12:15:35 PM CDT 2024
Topics:
Perturbation theory for linear systems; sensitivity analysis;
Condition numbers; Error bounds; Norm-wise error analysis;
Estimating cond. numbers;
Estimating forward errors from residual norms.
Supplement: Solutions to exercises and more.
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- Set number 5 : Full size:
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Posted on:
Tue Oct 1 10:37:58 AM CDT 2024
Topics:
Concepts in floating point arithmetic; Error analysis
Forward and backward errors; Errors in inner products;
Application to linear systems.
Supplement: Solutions to exercises and more.
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- Set number 4 : Full size:
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Posted on:
Mon 23 Sep 2024 03:51:53 PM CDT
Topics:
Solving Linear Systems; Background;
Gaussian Elimination (review); Gauss-Jordan;
The LU factorization; Pivoting.
Supplement: Solutions to exercises and more.
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- Set number 3 : Full size:
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Posted on:
Tue Sep 10 10:02:30 AM CDT 2024
Topics:
Inner products and norms; Vector norms;
Convergence of vector sequences; Matrix norms.
Supplement: Solutions to exercises and more.
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- Set number 2 : Full size:
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Posted on:
Thu 05 Sep 2024 06:37:41 AM CDT
Topics:
Matrices. Types of matrices. Matrices with structure;
Special Matrices (Vandermonde, Toeplitz, Circulant, ..);
Introduction to tensors.
Supplement: Solutions to exercises and more.
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- Set number 1 : Full size:
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Posted on:
Mon 02 Sep 2024 10:00:39 AM CDT
Topics:
Introduction; Types of problems seen in this course ;
Math. background; Matrices; Eigenvalues and eigenvectors;
Null space and range; Rank;
Types of matrices; Special matrices.
Supplement: Solutions to exercises and more.
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csci 5304 - Fall 2024