By H. T. Lau

ISBN-10: 084937376X

ISBN-13: 9780849373763

It is a large library of c workouts to do exactly approximately whatever. the single sore spots are many of the vector and matrix exercises. they're divided up in order that a few extremely simple operations require numerous exercises. after all this was once performed for flexibility, yet a few may possibly locate that writing their very own is extra effective. additionally, the 2 element boundary worth challenge solvers are very restricted and the DE part in basic terms comprises consistent time-step solvers. The unique functionality part is superb, notwithstanding. however, regardless of the restrictions, i've got came across this to be a gold mine of exercises and an incredibly important publication. i will frequently locate stuff the following that's nearly most unlikely to discover somewhere else.

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**Additional resources for A Numerical Library in C for Scientists and Engineers**

**Example text**

U. I I Function Parameters: int maxelrnrow (I, u, i,j,a,b,x) maxelmrow: delivers the index of the maximal element after elimination step upon a; 1,u: int; lower and upper bound of the running subscript; i: int; row-index of a; j : int; row-index of b; a, b: float a[i:i, l:u], b[i: i, l:u]; x: float; elimination factor. 8 Real vector and matrix - Interchanging A. ,u). Function Parameters: void ichvec (I, u,shift,a) 1,u: int; lower and upper bound of the running subscript; shift: int; index-shifting parameter; Copyright 1995 by CRC Press, Inc a: float a[p:q]; p and q should satisfy: p sf,q 2 u, p ll+shift, q qlu+shift.

Void elmrowvec (int 1, int u, int i, float **a, float b[] , float x) { for ( ; lc=u; I++) a [il [ll += b [ll *x; 1 H. , u). Function Parameters: void elmcolrow (I, u, ij,a, b,x) 1,u: int; lower and upper bound of the running subscript; i: int; column-index of a; j: int; row-index of b; a,b: float a[l:u,i:i], b/jg,l:u], when a=b then correct elimination is guaranteed only when the row and column are disjunct; x: float; elimination factor. void elmcolrow(int 1, int u, int i, int j, float **a, float **b, float x) { for (; l<=u; I++) a[l] [il += b [ j l [ll *x; 1 I.

0) ar [ll [ j1 =h; else { arc11 [jl =arlj + *c * *k; *k; ai [ll [jI =ailj + *s . 0; return (0); C. ,u of the j-th column of a are zero. Function Parameters: void hshcomprd (i, ii,l,u,j,ar,ai, br, bi, t ) i I , u: int; the complex matrix to be premultiplied must be given in the I-th to u-th column from row i to row ii of a complex matrix; int; the complex vector c of the Householder matrix must be given in the j-th column j: from row i to row ii of a complex matrix given in (br, bi). ar, ai: float ar[i: ii, I: u], ai[i: ii,l:u]; entry: the real part and the imaginary part of the vector to be premultiplied must be given in the arrays a r and ai, respectively; exit: the real part and the imaginary part of the resulting matrix are delivered in the arrays a r and ai, respectively, otherwise the arrays a r and a i are unaltered; br, bi: float br[i:ii,jj:j], bi[i:ii,jj:j]; Copyright 1995 by CRC Press, Inc entry: t: float; entry: the real part and the imaginary part of the complex vector c of the Householder matrix must be given in the arrays br and bi, respectively; the scalar t above of the Householder matrix (for example, as delivered by hshcomcol).

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