求解線性和非線性方程組的Kaczmarz類方法

1 Kaczmarz Method and Its Variants 1
11 Algebraic Reconstruction Technique 1
111 Kaczmarz Method 1
112 The Simultaneous Iteration Reconstruction Technique 5
12 Coordinate Descent Method 9
13 Maximal Correction Kaczmarz Method 12
131 MCK For Linear Problem 12
132 Finite Termination of MCK Method14
14 Kaczmarz Method with Oblique Projection 15
15 Coordinate Descent Method with Oblique Direction 25
16 General Oblique Projection Method27
17 Block Kaczmarz Method and Block CD Method 35
18 Greedy Block Kaczmarz Method 36
19 Greedy Block Gauss-Seidel Method 41
2 Random Kaczmarz Method and Its Variants 46
21 Random Kaczmarz Method46
22 New Random Kaczmarz Method for 51
23 New Random Kaczmarz Method for 55
24 Greedy Randomized Kaczmarz Method 63
25 RGS and GRGS 68
26 REK and REGS 77
27 RK and RGS with Oblique Projection81
271 Random Kaczmarz Method with Oblique Projection 81
272 RGS with Oblique Projection86
273 GRK and GRGS with Oblique Projection 90
274 Maximal Weighted Residual KO and GSO Methods 96
28 Residua-Based REK100
281 Partially Randomized Extended Kaczmarz Method with Residuals 101
282 Maximum-distance Extended Kaczmarz Method 113