volume 10 linear algebra

...                                                                       10 00 00 , 01 00 00 , 00 10 00 , 00 01 00 , 00 00 10 , 00 00 01 . Now we just proceed on to recall the definition of linear algebra. D EFINITION 1.1.5: Let F be a field. A linear algebra ... commutative linear algebra over F....

Ngày tải lên: 27/03/2014, 11:49

... Reinsch, C. 1971, Linear Algebra ,vol.IIof Handbook for Automatic Com- putation (New York: Springer-Verlag), Chapter I/1. Gill, P.E., Murray, W., and Wright, M.H. 1991, Numerical Linear Algebra and ... Addison-Wesley), §9. [10] Golub, G.H., and Van Loan, C.F. 1989, Matrix Computations , 2nd ed. (Baltimore: Johns Hopkins University Press), Chapters 4 and 10, particularly § 10. 2 10....

Ngày tải lên: 21/01/2014, 18:20

... trade@cup.cam.ac.uk (outside North America). Chapter 2. Solution of Linear Algebraic Equations 2.0 Introduction A set of linear algebraic equations looks like this: a 11 x 1 + a 12 x 2 + a 13 x 3 + ... wrong: • While not exact linear combinations of each other, some of the equations may be so close to linearly dependent that roundoff errors in the machine render them linearly dependent...

Ngày tải lên: 15/12/2013, 04:15

... Moler, C.B. 1967, Computer Solution of Linear Algebraic Systems (Engle- wood Cliffs, NJ: Prentice-Hall). Wilkinson, J.H., and Reinsch, C. 1971, Linear Algebra ,vol.IIof Handbook for Automatic ... 36 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... e...

Ngày tải lên: 15/12/2013, 04:15

... to 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 ... Reinsch, C. 1971, Linear Algebra ,vol.IIof Handbook for Automatic Com- putation (New York: Springer-Verlag), Chapter I/1. Gill, P.E., Murray, W., and Wright, M.H. 1991, Numerical Linear...

Ngày tải lên: 15/12/2013, 04:15

... 1525 (H 1 (H 2 H 3 ))H 4 100 0 + 250 + 25 = 1275 (H 1 H 2 )(H 3 H 4 ) 100 0 + 100 + 100 = 1200 H 1 (H 2 (H 3 H 4 )) 100 + 200 + 50 = 350 H 1 ((H 2 H 3 )H 4 ) 100 0 + 50 + 50 = 1100 10 Linear Algebra, by Hefferon solves a 1,1 x 1 + ... method −3ρ 1 +ρ 2 −→ −ρ 1 +ρ 3 −2ρ 1 +ρ 4 x − 3y = b 1 10y = −3b 1 + b 2 10y = −b 1 + b 3 10y = −2b 1 + b 4 −ρ 2 +ρ 3 −→ −ρ 2 +ρ 4 x − 3y = b 1 10y =...

Ngày tải lên: 15/12/2013, 21:17

... elimination. 42 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... for example in support of full pivoting. CITED REFERENCES AND FURTHER READING: Wilkinson, J.H. 1965, The Algebraic Eigenvalue Problem (New York:Oxford University Press). [1] Carnahan, B., Lu...

Ngày tải lên: 24/12/2013, 12:16

... −2, ,1 (2.3.7) 44 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... stability of Crout’s 46 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 19...

Ngày tải lên: 24/12/2013, 12:16

... 50 Chapter 2. Solution of Linear Algebraic Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... 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 (N...

Ngày tải lên: 24/12/2013, 12:16