[usol,idmn,zn,zm,pertb]=minsol(usol,idmn,zn,zm,pertb);

function [usol,idmn,zn,zm,pertb]=minsol(usol,idmn,zn,zm,pertb);
persistent ete i ifnl ii istr j jfnl jj jstr pertrb ute ; 

global splpcm_5; if isempty(splpcm_5), splpcm_5=0; end;
global splpcm_6; if isempty(splpcm_6), splpcm_6=0; end;
global splpcm_7; if isempty(splpcm_7), splpcm_7=0; end;
global splpcm_8; if isempty(splpcm_8), splpcm_8=0; end;
global splpcm_15; if isempty(splpcm_15), splpcm_15=0; end;
global splpcm_19; if isempty(splpcm_19), splpcm_19=0; end;
global splpcm_16; if isempty(splpcm_16), splpcm_16=0; end;
global splpcm_20; if isempty(splpcm_20), splpcm_20=0; end;
if isempty(ete), ete=0; end;
if isempty(pertrb), pertrb=0; end;
global splpcm_17; if isempty(splpcm_17), splpcm_17=0; end;
global splpcm_18; if isempty(splpcm_18), splpcm_18=0; end;
if isempty(ute), ute=0; end;
if isempty(i), i=0; end;
if isempty(ifnl), ifnl=0; end;
if isempty(ii), ii=0; end;
global splpcm_11; if isempty(splpcm_11), splpcm_11=0; end;
if isempty(istr), istr=0; end;
if isempty(j), j=0; end;
if isempty(jfnl), jfnl=0; end;
if isempty(jj), jj=0; end;
global splpcm_13; if isempty(splpcm_13), splpcm_13=0; end;
if isempty(jstr), jstr=0; end;
global splpcm_3; if isempty(splpcm_3), splpcm_3=0; end;
global splpcm_1; if isempty(splpcm_1), splpcm_1=0; end;
global splpcm_2; if isempty(splpcm_2), splpcm_2=0; end;
global splpcm_4; if isempty(splpcm_4), splpcm_4=0; end;
global splpcm_9; if isempty(splpcm_9), splpcm_9=0; end;
global splpcm_12; if isempty(splpcm_12), splpcm_12=0; end;
global splpcm_10; if isempty(splpcm_10), splpcm_10=0; end;
global splpcm_14; if isempty(splpcm_14), splpcm_14=0; end;
%***BEGIN PROLOGUE  MINSOL
%***SUBSIDIARY
%***PURPOSE  Subsidiary to SEPELI
%***LIBRARY   SLATEC
%***TYPE      SINGLE PRECISION (MINSOL-S)
%***AUTHOR  (UNKNOWN)
%***DESCRIPTION
%
%     This subroutine orthogonalizes the array USOL with respect to
%     the constant array in a weighted least squares norm.
%
%     Entry at MINSOL occurs when the final solution splpcm_11
%     to be minimized with respect to the weighted
%     least squares norm.
%
%***SEE ALSO  SEPELI
%***ROUTINES CALLED  (NONE)
%***COMMON BLOCKS    SPLPCM
%***REVISION HISTORY  (YYMMDD)
%   801001  DATE WRITTEN
%   891214  Prologue converted to Version 4.0 format.  (BAB)
%   900402  Added TYPE section.  (WRB)
%***end PROLOGUE  MINSOL
%
% common :: ;
%% common /splpcm/ kswx , kswy , k , l , ait , bit , cit , dit ,mit , nit , is , ms , js , ns , dlx , dly ,tdlx3 , tdly3 , dlx4 , dly4;
%% common /splpcm/ splpcm_1 , splpcm_2 , splpcm_3 , splpcm_4 , splpcm_5 , splpcm_6 , splpcm_7 , splpcm_8 ,splpcm_9 , splpcm_10 , splpcm_11 , splpcm_12 , splpcm_13 , splpcm_14 , splpcm_15 , splpcm_16 ,splpcm_17 , splpcm_18 , splpcm_19 , splpcm_20;
usol_shape=size(usol);usol=reshape([usol(:).',zeros(1,ceil(numel(usol)./prod([idmn])).*prod([idmn])-numel(usol))],idmn,[]);
zn_shape=size(zn);zn=reshape(zn,1,[]);
zm_shape=size(zm);zm=reshape(zm,1,[]);
%***FIRST EXECUTABLE STATEMENT  MINSOL
istr = 1;
ifnl = fix(splpcm_3);
jstr = 1;
jfnl = fix(splpcm_4);
%
%     COMPUTE WEIGHTED INNER PRODUCTS
%
ute = 0.0;
ete = 0.0;
for i = splpcm_11 : splpcm_12;
ii = fix(i - splpcm_11 + 1);
for j = splpcm_13 : splpcm_14;
jj = fix(j - splpcm_13 + 1);
ete = ete + zm(ii).*zn(jj);
ute = ute + usol(i,j).*zm(ii).*zn(jj);
end; j = fix(splpcm_14+1);
end; i = fix(splpcm_12+1);
%
%     SET PERTURBATION PARAMETER
%
pertrb = ute./ete;
%
%     SUBTRACT OFF CONSTANT PERTRB
%
for i = istr : ifnl;
for j = jstr : jfnl;
usol(i,j) = usol(i,j) - pertrb;
end; j = fix(jfnl+1);
end; i = fix(ifnl+1);
usol_shape=zeros(usol_shape);usol_shape(:)=usol(1:numel(usol_shape));usol=usol_shape;
zn_shape=zeros(zn_shape);zn_shape(:)=zn(1:numel(zn_shape));zn=zn_shape;
zm_shape=zeros(zm_shape);zm_shape(:)=zm(1:numel(zm_shape));zm=zm_shape;
end
%DECK MPADD2