766 Chapter 17.Two Point Boundary Value Problems (a)DD D AA A DDDAA V A DDDAA A (b)100SS V 010sS V 001SS Figure 17.3.3.Reduction process for the first (upper left)block of the matrix in Figure 17.3.1.(a) Original form of the block,(b)final form.(See text for explanation.) (a)100SS V 83 010SS 001SS D ZZZ DDDD DA A V A ZZZ D DDD DA A V g 111800-672 Z ZZ DD DD D AA A to any ZZZD DDD DA A A NUMERICAL RECIPES IN C: ZZZD DD D DA A A (b)100SS V v -7423 (North America server computer, e University Press. THE 010SS 001SS V 00010000SS V 00001000sS V only),or Programs 00000100SS 00000010SS V 00000001SS email to dir Copyright (C) Figure 17.3.4.Reduction process for intermediate blocks of the matrix in Figure 17.3.1.(a)Original form,(b)final form.(See text for explanation.) (a)00010000SS V 00001000SS ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) 00000100SS V 00000010SS D 1988-1992 by Numerical Recipes 00000001SS V ZZZDD A ZZZDD A (b)00010000SS V Software. 00001000SS @cambridge.org(outside North America). 00000100SS V 00000010SS v 00000001SS V 00010 V 00001 Figure 17.3.5.Reduction process for the last (lower right)block of the matrix in Figure 17.3.1.(a) Original form,(b)final form.(See text for explanation.)766 Chapter 17. Two Point Boundary Value Problems Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copyin Copyright (C) 1988-1992 by Cambridge University Press. Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) g of machine￾readable files (including this one) to any server computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website http://www.nr.com or call 1-800-872-7423 (North America only), or send email to directcustserv@cambridge.org (outside North America). (a) (b) D D D 1 0 0 D D D 0 1 0 D D D 0 0 1 A A A S S S A A A S S S V V V V V V A A A S S S Figure 17.3.3. Reduction process for the first (upper left) block of the matrix in Figure 17.3.1. (a) Original form of the block, (b) final form. (See text for explanation.) (a) 1 0 0 Z Z Z Z Z V V V V V V V V S S S A A A A A (b) 1 0 0 0 0 0 0 0 0 0 1 0 0 V V V V V V V V S S S S S S S S 0 1 0 Z Z Z Z Z 0 0 1 Z Z Z Z Z S S S D D D D D S S S D D D D D D D D D D D D D D D D D D D D A A A A A A A A A A 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 S S S 1 0 0 0 0 S S S 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 S S S S S S S S S S Figure 17.3.4. Reduction process for intermediate blocks of the matrix in Figure 17.3.1. (a) Original form, (b) final form. (See text for explanation.) (a) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 Z Z 0 0 0 1 0 Z Z 0 0 0 0 1 Z Z S S S S S D D S S S S S D D V V V V V V V S S S S S A A (b) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 S S S S S 1 0 S S S S S 0 1 V V V V V V V S S S S S S S Figure 17.3.5. Reduction process for the last (lower right) block of the matrix in Figure 17.3.1. (a) Original form, (b) final form. (See text for explanation.)