Tài liệu Solution of Linear Algebraic Equations part 7 docx

... 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

... 1-800- 872 -74 23 (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...

Ngày tải lên: 15/12/2013, 04:15

... equation (2.3 .7) . sum=b[i]; for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; b[i]=sum/a[i][i]; Store a component of the solution vector X. } All done! } 48 Chapter 2. Solution of Linear Algebraic Equations Sample ... (i.e., selection of a salubrious pivot element for the division in equation 2.3.13) is absolutely essential for the stability of Crout’s 46 Chapter 2. Solution...

Ngày tải lên: 24/12/2013, 12:16

... 19 67, 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 ... 50 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... Cambrid...

Ngày tải lên: 24/12/2013, 12:16

... 1. 0. 0. 0. 4. 0. 0. 0. 0. 7. 5. 9. 0. 0. 0. 0. 0. 2. 0. 0. 0. 6. 5.      (2 .7. 27) 2 .7 Sparse Linear Systems 77 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... 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 patte...

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 0-521-43108-5) Copyright ... Vandermon...

Ngày tải lên: 21/01/2014, 18:20

... 19 67, 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 pro...

Ngày tải lên: 21/01/2014, 18:20

... G.E., and Moler, C.B. 19 67, Computer Solution of Linear Algebraic Systems (Engle- wood Cliffs, NJ: Prentice-Hall). Wilkinson, J.H., and Reinsch, C. 1 971 , Linear Algebra ,vol.IIof Handbook for Automatic ... right-hand side becomes the solution set, as one sees instantly from (2.1.2). 38 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIP...

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 0-521-43108-5) Copyright ....

Ngày tải lên: 15/12/2013, 04:15

... 298. Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New York: Wiley). Ralston, A., and Rabinowitz, P. 1 978 , A First Course in Numerical Analysis , ... point is termed Gaussian elimination. 42 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0...

Ngày tải lên: 24/12/2013, 12:16