Tài liệu Solution of Linear Algebraic Equations part 4 docx

... β 22 β 23 β 24 00β 33 β 34 000β 44   =   a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44   (2.3.2) We can use a decomposition such as (2.3.1) to solve the linear set A ... case of a 4 × 4 matrix A, for example, equation (2.3.1) would look like this:   α 11 000 α 21 α 22 00 α 31 α 32 α 33 0 α 41 α 42 α 43 α 44   · ...

Ngày tải lên: 24/12/2013, 12:16

... 1-800-872- 742 3 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 2. Solution of Linear Algebraic Equations 2.0 Introduction A set of linear algebraic equations ... equations as unknowns, and there is a good chance of solving for a unique solution set of x j ’s. Analytically, there can fail to be a unique solution if one o...

Ngày tải lên: 15/12/2013, 04:15

... 1967, Computer Solution of Linear Algebraic Systems (Engle- wood Cliffs, NJ: Prentice-Hall), Chapters 9, 16, and 18. Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New ... matrix         3100000 41 50000 9265000 0358900 0079320 0003 846 0000 244         (2 .4. 4) which has N =7,m 1 =2,andm 2 =1, is stored co...

Ngày tải lên: 24/12/2013, 12:16

... making the same permutation of the columns of U,elementsofW,andcolumnsofV(or rows of V T ), or (ii) forming linear combinations of any columns of U and V whose corresponding elements of W happen to be ... also be aware of some of the special sparse forms that occur in the solutionof partial differential equations in two or more dimensions. See Chapter 19. If your particula...

Ngày tải lên: 24/12/2013, 12:16

... also be aware of some of the special sparse forms that occur in the solutionof partial differential equations in two or more dimensions. See Chapter 19. If your particular pattern of sparsity is ... transpose and a vector. As 84 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5...

Ngày tải lên: 24/12/2013, 12:16

... specially, because that particular type of linear system admits a solution in only of order N operations, rather than of order N 3 for the general linear problem. When such particular types exist, ... 90 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-19...

Ngày tải lên: 21/01/2014, 18:20

... 1967, Computer Solution of Linear Algebraic Systems (Engle- wood Cliffs, NJ: Prentice-Hall), §19. [1] Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New ... specially, because that particular type of linear system admits a solution in only of order N operations, rather than of order N 3 for the general linear probl...

Ngày tải lên: 21/01/2014, 18:20

... equation   a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44   ·     x 11 x 21 x 31 x 41      x 12 x 22 x 32 x 42      x 13 x 23 x 33 x 43      y 11 y 12 y 13 y 14 y 21 y 22 y 23 y 24 y 31 y 32 y 33 y 34 y 41 y 42 y 43 y 44     =     b 11 b 21 b 31 b 41      b 12 b 22 b 32 b 42      b...

Ngày tải lên: 15/12/2013, 04:15

... solve linear systems. In many applications only the part (2.10 .4) of the algorithm is needed, so we separate it off into its own routine rsolv. 100 Chapter 2. Solution of Linear Algebraic Equations Sample ... 98 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyrigh...

Ngày tải lên: 15/12/2013, 04:15

... case of a single right-hand side vector):    a  11 a  12 a  13 a  14 0 a  22 a  23 a  24 00a  33 a  34 000a  44    ·    x 1 x 2 x 3 x 4    =    b  1 b  2 b  3 b  4    (2.2.1) Here ... termed Gaussian elimination. 42 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUT...

Ngày tải lên: 24/12/2013, 12:16