Download e-book for iPad: A Numerical Library in C for Scientists and Engineers by H. T. Lau

By H. T. Lau

ISBN-10: 084937376X

ISBN-13: 9780849373763

This can be a large library of c workouts to just do approximately something. the single sore spots are a number of the vector and matrix exercises. they're divided up in order that a few extremely simple operations require a number of workouts. after all this was once performed for flexibility, yet a few may perhaps locate that writing their very own is extra effective. additionally, the 2 element boundary worth challenge solvers are very constrained and the DE part merely includes consistent time-step solvers. The specific functionality part is great, although. however, regardless of the constraints, i've got stumbled on this to be a gold mine of exercises and a very valuable booklet. i will be able to usually locate stuff right here that's nearly very unlikely to discover in different places.

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Extra resources for A Numerical Library in C for Scientists and Engineers

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The complex and pure real columns of the original matrix may be distinguished by inspection of the values stored in locations n l to n2 of the real vector im. ,n) where j runs through the column suffices of the stored columns of a. e. in each eigenvector an element of maximum modulus equals 1) are delivered in the corresponding columns of a; n: int; the number of rows of array a; nl,n2: int; the lower and upper bound of the column indices of array a ; im: float im[nl:n2]; the imaginary parts of the eigenvalues of which the eigenvectors are given in the corresponding columns of array a must be given in array im.

Function Parameters: 1,u: i: j: a, b: x: void elmcol (I, u, i,j,a,b,x) int; lower and upper bound of the running subscript; int; column-index of a; int; column-index of b; float a[l:u, i:i], b[l:u Jg]; float; elimination factor. void elmcol(int 1, int u, int i, int j, float **a, float **b, float x) { for ( ; lc=u; I++) a[ll [il += b[ll [jl*x; 1 C. elmrow Adds a constant multiple of part of a row of a rectangular matrix b to part of a row of a rectangular matrix a by setting a , , = a,,+xb,,, (k=l, l+l,..

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. a: float a[lr:ur,lc:uc]; Functions used: matvec, elrnrowvec. void hshvectam(int lr, int ur, int lc, int uc, float x, float u[l, float **a) { float matvec (int, int, int, float **, float [I) ; void elmrowvec (int, int, int, float * * , float [ I , float); for ; lrc=ur; lr++) elmrowvec (lc,uc,lr,a,u,matvec(lc,uc,lr,a,u)* x ) ; 1 E.

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A Numerical Library in C for Scientists and Engineers by H. T. Lau

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