JPISJuvenile Probation Information System (Montana)
JPISJoint Programme Identification Study (UNESCO)
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>> >> [JPId, SPJ] = getJPI (fun, m, n); [left arrow] JPI for direct >> bicoloring (default) method >> JPIs = getJPI ([], m, n, [], `s', SPJ); [left arrow] JPI for >> substitution bicoloring method >> JPIc = getJPI ([], m, n, [], `c', SPJ); [left arrow] JPI for >> column coloring method Similarly for Hessians:
>> x=ones(5,1); n = 5; >> fun=`examplefun'; JPI = getJPI (fun,n); >> [f,J]=evalJ (fun,x, [], [],JPI); >> f f = 7 2 2 2 2 The function call "getJPI" extracts sparsity/coloring information.
function [x,it,nf] = Newton (fun, xstart, tol, itbnd, JPI) % Initializations n=length (xstart); if (nargin < 3) tol=1e-5; end if (nargin < 4) itbnd=60; end n=length(xstart); x=xstart; % First Evaluation [f,J]=evalJ(fun,x, [], [],JPI); it=0; % The Newton Iteration while ((norm(f) > tol) & (it < itbnd)) delta= -J \f; x=x+delta; [f,J] =evalJ(fun,x, [], [],JPI); it=it+1; end nf=norm(f); The function Newton uses the ADMIT-1 driver function evalJ to compute the Jacobian matrix and use it in a subsequent Newton step computation.
The intention to target spending in a more concentrated manner and bundle numerous already existing programmes - European Research Area (ERA), joint programming initiatives (JPI), Strategic Energy Technology (SET) - under one heading will be part of the Council conclusions.