TABLE OF CONTENTS The page and equation references given below point to the location where the particular symbol or acronym is introduced or defined.
| Symbol | Name | Page | Equation |
|---|---|---|---|
| A | m n matrix | 12 |
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| A | standard-form matrix | 38 | (2.35) |
| A | pseudoinverse of A | 21 | (2.3) |
| A# | regularized inverse | 78 | (4.17) |
| A k | truncated SVD matrix | 49 | (3.10) |
| A alg k | "alg"-based approximation to A k |
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| A L,k | truncated GSVD matrix | 55 | (3.28) |
| A # L,k | truncated GSVD regularized inverse | 100 | (5.32) |
| A # ? | Tikhonov regularized inverse | 100 | (5.3), (5.33) |
| b | right-hand side vector | 12 |
|
| b | standard-form right-hand side | 38 | (2.35) |
| b exact | exact right-hand side |
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| B | bidiagonal standard-form matrix | 101 | (5.5) |
| B k | bidiagonal ( k + 1) k Lanczos matrix | 143 | (6.15), (6.17) |
| cond( A) | condition number of A | 22 | (2.5) |
| diag( ) | diagonal matrix |
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| e | perturbation vector |
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| e ( n) i | ith unit vector of length n |
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| E | perturbation matrix |
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| ?( ) | expected value |
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| f i | filter factor | 72 |
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| f( t) | solution function | 5 | (1.1), (1.2) |
| | approximate solution function | 11 |
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| F | diagonal filter matrix | 72 |
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| g( s) | right-hand side function | 5 | (1.1), (1.2) |
| | GCV function | 184 | (7.17) |
| I n | identity matrix of order n |
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| J( t 0, t) | Backus Gilbert criteria function | 118 |
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| k | discrete regularization parameter |
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| k i( t |
