By H. T. Lau
This can be a large library of c exercises to do exactly approximately something. the one sore spots are many of the vector and matrix workouts. they're divided up in order that a few extremely simple operations require numerous workouts. in fact this used to be performed for flexibility, yet a few might locate that writing their very own is extra effective. additionally, the 2 aspect boundary price challenge solvers are very restricted and the DE part purely includes consistent time-step solvers. The precise functionality part is superb, besides the fact that. however, regardless of the constraints, i've got chanced on this to be a gold mine of exercises and a very worthwhile publication. i will usually locate stuff the following that's nearly most unlikely to discover in other places.
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Additional info for A Numerical Library in C for Scientists and Engineers
Function Parameters: void symresvec (Ir, ur,lc,uc,a,b,c,x) r r : int; lower and upper bound of the row-index, Ir 1 1; Ic,uc: int; lower and upper bound of the column-index, Ic 2 1; a : float a[l:u]; where I = min (Ir(1r-1)/2+lc, Ic(1c-I)R+lr), u = max (ur(ur-1)/2+uc, uc(uc-1)/2+ur) and the (ij)-th element of the symmetric matrix should be given in b: float b[lc:uc]; the vector; x: float; the value of the multiplying scalar; c: float c[lr:ur]; the result a*b+x*c is overwritten on c. 6 Real matrix matrix products A.
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).
R ; j=Ic,. ,ur) . Function Parameters: Copyright 1995 by CRC Press, Inc void hshrowmat (lr, ur,lc,uc, i,x,u,a) int; lower and upper row indices; r r : Ic,uc: int; lower and upper column indices; i: int; the row index of the Householder vector; x: float; the Householder constant; u: float u[i:i,lr:ur]; the Householder vector; the matrix to be premultiplied by the Householder matrix. a: float a[lr:ur,lc:uc]; Functions used: matmat, elmcolrow. ,uc), u,-,+, =u, (i=lc,. , uc) . Function Parameters: void hshvectam (Ir, ur,lc, uc,x,u,a) int; lower and upper row indices; r r : lc,uc: int; lower and upper column indices; x: float; the Householder constant; u: float u[lc:uc]; the Householder vector; the matrix to be postmultiplied by the Householder matrix.