C Library Functions - banslv (3)

from * a practical guide to splines * by c. de boor

companion routine to
banfac . it returns the solution x of the

linear system
a*x = b in place of b , given the lu-factorization

for a in the workarray w .

******

i n p u t ****** w, nroww,nrow,nbandl,nbandu.....describe the lu-factorization of a

banded matrix
	a of order nrow as constructed in banfac .
for details, see
	banfac . b.....right side of the system to be solved .

******

o u t p u t ******

b.....contains the solution
	x , of order nrow .

******

m e t h o d ******

(with

a = l*u, as stored in w,) the unit lower triangular system

l(u*x) = b

is solved for y = u*x, and y stored in b . then the

upper triangular system
	u*x = y is solved for x . the calcul- ations are so arranged that the innermost loops stay within columns.

Nemo Release 3.1

banslv (3)

June 29, 2025

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from	* a practical guide to splines * by c. de boor
companion routine to
	banfac . it returns the solution x of the
linear system
	a*x = b in place of b , given the lu-factorization
for	a in the workarray w .