release 2.0.1 update

CHANGELOG.md

+## version 2.0.1
+
+### Changed
+- many function headers and help texts got improved/completed
+
+### Fixed
+- DAE_1 usfs failed for certain systems with non-symmetric A.
+- LTV BDF could break in certain situations and was not following the
+  general naming scheme for some variables.
+- mess_res2_norms would break when more than 4 output arguments were requested
+
 ## version 2.0
+
+### Added
 - New RADI iteration for AREs
 - New splitting methods for autonomous DREs
 - New splitting and BDF methods for non-autonomous DREs
 - New operator manager only requires non-empty functions and replaces
   non-existent ones with a general `mess_do_nothing` function 
+- CI testing
+  - demos serve as system tests 
+  - additional unit tests for the smaller building blocks and backend routines
+
+### Changed
 - improved Riccati iteration
-- updated minimum required/recommended Matlab and octave versions
+- updated minimum required/recommended Matlab and Octave versions
   (see `DEPENDENCIES.md`)
 - unified function interfaces for top level calls
 - unified handling of low rank updated operators. Now always A+UV' is
-  used. (Note the sign of the update and the transposition in V) 
+  used. (Note the sign of the update and the transposition in V)
 - major updates in the MOR routines
-- some resturcturing in the opts structure. 
+- some restructuring in the opts structure.
   * `opts.adi.shifts` has moved to `opts.shifts` such that also RADI
     can use it independent of ADI
   *  opts.norm now determines the norm for all methods rather than
      having to consistently specifiy the same norm in each substructure
   * initial feedbacks for the Riccati solvers are now stored in the
-    `opts` structure for the method rather than `eqn` 
-- The projection shift routine uses the flag `opts.shifts.implicitVtAV`. 
+    `opts` structure for the method rather than `eqn`
+- The projection shift routine uses the flag `opts.shifts.implicitVtAV`.
   Default is `true`. If set to `false` A*V is computed explicitly.
-- several consistency updates and bug fixes
-- general code cleaning and pretty printing
 - redesign of the demos
   - turned scripts into actual demo functions
   - new demos for indefinite AREs and H-infinity control
+
+### Fixed
+- several consistency updates and bug fixes
+- general code cleaning and pretty printing
+
+## version 1.0.1
+
+### Changed
+- updated documentation 
+- Removed replacements directory since its content was not needed for
+  Matlab after release 2010b and Octave after 4.0. 
+
+### Fixed
+- Minor consistency and bug fixes and improved integrity of metafiles.
 - CI testing
-  - demos serve as system tests 
+  - demos serve as system tests
   - additional unit tests for the smaller building blocks and backend routines
 
----
 ## version 1.0.1
 - Minor consistency and bug fixes and improved integrity of metafiles.
-- updated documentation 
+- updated documentation
 - Removed replacements directory since its content was not needed for
-  Matlab after release 2010b and Octave after 4.0. 
+  Matlab after release 2010b and Octave after 4.0.
+
 
----
 ## version 1.0
 Compared to the predecessor lyapack a couple of things have changed.
+
 - The user supplied functions are now managed by an operator manager
 - The low rank ADI now has:
   - optimized treatment of E matrices in generalized equations
   - more choices for shift selection, including completely automatic
-    generation of shifts 
+    generation of shifts
   - improved stopping criteria based on low rank factors of the current residual
   - automatic generation of real low rank factors also for complex shifts
 - The Newton-Kleinman iteration features:
@@ -56,4 +86,5 @@ Compared to the predecessor lyapack a couple of things have changed.
 - The SRM routine for balanced truncation is only available for
   none-DAE systems. Still, DAE versions are included in the
   corresponding DEMOS. 
-- A tangential IRKA implementation for none-DAE systems was added
+- A tangential IRKA implementation for non-DAE systems was added
+

CITATION.md

@@ -10,17 +10,19 @@ release will receive a DOI for proper citation there. The DOI for this
 version and a sample BibTeX entry can be found below.
 
 ##DOI
-The DOI for version 2.0 is
-[10.5281/zenodo.3368844](http://doi.org/10.5281/zenodo.3368844)
+The DOI for version 2.0.1 is
+[10.5281/zenodo.3606345](http://doi.org/10.5281/zenodo.3606345)
 
 ##BibTeX
-@Misc{SaaKB19-mmess-2.0,
+```
+@Misc{SaaKB19-mmess-2.0.1,
   key =			 {MMESS},
   author =		 {Saak, J. and K\"{o}hler, M. and Benner, P.},
-  title =		 {{M-M.E.S.S.}-2.0 -- The Matrix Equations Sparse
+  title =		 {{M-M.E.S.S.}-2.0.1 -- The Matrix Equations Sparse
                   Solvers library}, 
-  howpublished = {DOI:10.5281/zenodo.3368844},
-  month =		 aug,
-  year =		 2019,
+  howpublished = {DOI:10.5281/zenodo.3606345},
+  month =		 feb,
+  year =		 2020,
   note =		 {see also:\url{www.mpi-magdeburg.mpg.de/projects/mess}}
 }
+```

CODE

 name: Matrix Equations Sparse Solvers
 shortname: M.E.S.S.
-version: 2.0
-release-date: 2019-08-23
-id: 10.5281/zenodo.3368844
+version: 2.0.1
+release-date: 2020-02-??
+id: 10.5281/zenodo.3606345
 id-type: doi
 authors: MESS developer community
 copyright holders: Jens Saak, Martin Köhler, Peter Benner
@@ -15,6 +15,6 @@ repository: private development / public releases
 repository-type: git
 languages: Matlab
 dependencies: GNU Octave >= 4.0, MATLAB >= 2014a
-systems: Linux, Windows
+systems: Linux, Windows, MacOS
 website: https://gitlab.mpi-magdeburg.mpg.de/mess/mmess-releases
 keywords: symmetric matrix equations, LR-ADI, Newton Kleinman, BDF methods, Rosenbrock methods, splitting methods, Riccati iteration, balanced trunation, IRKA

CONTRIBUTORS.md

@@ -7,7 +7,12 @@
 - Dr. Jens Saak 
 - Martin Köhler
 
----
+# Version 2.0.1
+- Bjoern Baran       (DRE method fixes)
+- Christian Himpe    (code review and documentation fixes)
+- Jens Saak          (improved MOR functions, partial release automation)
+- Steffen Werner     (fixed DAE_1 usfs)
+
 # Version 2.0
 - Bjoern Baran       (BDF methods for non-autonomous DREs, system tests)
 - Patrick Kuerschner (RADI)
@@ -17,7 +22,6 @@
 - Steffen Werner     (RADI, improved Operator Manager, 
                       improved Riccati iteration)
 
----
 # Version 1.0 & 1.0.1
 ## Student Assistants and Interns
 - Bjoern Baran    (LDL^T based Algorithms and Differential Equations)

DEMOS/DAE1/LQR_DAE1.m

@@ -31,7 +31,7 @@ function LQR_DAE1(istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 %%
 if nargin<1, istest=0; end
@@ -91,7 +91,7 @@ outnm = mess_lrnm(eqn, opts, oper);
 toc;
 if istest
     if min(outnm.res)>=opts.nm.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result in LRNM'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result in LRNM'); 
     end
 else
     figure(1);
@@ -128,7 +128,7 @@ toc;
 
 if istest
     if min(outradi.res)>=opts.radi.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result in RADI'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result in RADI'); 
     end
 else
     figure(2);

DEMOS/DAE1/bt_mor_DAE1_tol.m

@@ -28,7 +28,7 @@ function bt_mor_DAE1_tol(istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 
 %%
@@ -81,7 +81,7 @@ toc;
 
 if istest
     if min(outB.res)>=opts.adi.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure;
@@ -103,7 +103,7 @@ toc;
 
 if istest
     if min(outC.res)>=opts.adi.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure;
@@ -161,11 +161,11 @@ end
 opts.sigma.fmin=-3;
 opts.sigma.fmax=4;
 
-err = mess_sigma_plot(eqn, opts, oper, ROM);
+out = mess_sigma_plot(eqn, opts, oper, ROM); err = out.err;
 
 if istest
     if max(err)>5e-3
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end   
 else
     figure;

DEMOS/DAE2/LQR_DAE2.m

@@ -35,7 +35,7 @@ function LQR_DAE2(problem,lvl,re,istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 %% Set operations
 oper = operatormanager('dae_2');
@@ -79,6 +79,8 @@ switch lower(problem)
     end
     eqn.C=mat.mat_v.C{lvl};
     eqn.st=mat.mat_mg.nv(lvl);
+    otherwise
+      error('input ''problem'' must be either ''NSE'' or ''Stokes''');
 end
 %%
 % First we run the Newton-ADI Method
@@ -156,7 +158,7 @@ outradi = mess_lrradi(eqn, opts, oper);
 toc;
 
 if not(istest)
-    figure(2);
+    figure();
     semilogy(outradi.res);
     title('0= C^TC + A^TXM + M^TXA -M^TXBB^TXM');
     xlabel('number of iterations');
@@ -165,10 +167,10 @@ end
 
 %% compare
 if istest
-    if min(outnm.res)>=opts.nm.res_tol, error('MESS:TEST:accuracy','unexpectedly innacurate result'); end
-    if min(outradi.res)>=opts.radi.res_tol, error('MESS:TEST:accuracy','unexpectedly innacurate result'); end
+    if min(outnm.res)>=opts.nm.res_tol, error('MESS:TEST:accuracy','unexpectedly inaccurate result'); end
+    if min(outradi.res)>=opts.radi.res_tol, error('MESS:TEST:accuracy','unexpectedly inaccurate result'); end
 else
-    figure(3);
+    figure();
     ls_nm=[outnm.adi.niter];
     ls_radi=1:outradi.niter;
     

DEMOS/DAE2/bt_mor_DAE2.m

@@ -24,7 +24,7 @@ function bt_mor_DAE2(problem,lvl,re,istest)
 % P. Benner, J. Saak, M. M. Uddin, Balancing based model reduction for 
 % structured index-2 unstable descriptor systems with application to flow
 % control, Numerical Algebra, Control and Optimization 6 (1) (2016) 1–20. 
-% https://doir.org/10.3934/naco.2016.6.1.
+% https://doi.org/10.3934/naco.2016.6.1.
 
 
 % This program is free software; you can redistribute it and/or modify
@@ -41,7 +41,7 @@ function bt_mor_DAE2(problem,lvl,re,istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others
-%               2009-2019
+%               2009-2020
 %
 
 % ADI tolerance and maximum iteration number
@@ -91,6 +91,8 @@ switch lower(problem)
         st=eqn.st;
         eqn.haveE=1;
         n=size(eqn.E_,1);
+    otherwise 
+        error('input ''problem'' must be either ''NSE'' or ''Stokes''');
 end
 %%
 eqn.type='N';
@@ -116,7 +118,7 @@ outB = mess_lradi(eqn,opts,oper);
 toc;
 
 if not(istest)
-    figure(1);
+    figure();
     semilogy(outB.res);
     title('AXM^T + MXA^T = -BB^T');
     xlabel('number of iterations');
@@ -156,7 +158,7 @@ outC = mess_lradi(eqn, opts, oper);
 toc;
 
 if not(istest)
-    figure(2);
+    figure();
     semilogy(outC.res);
     title('A^TXM + M^TXA = -C^TC');
     xlabel('number of iterations');
@@ -217,12 +219,12 @@ end
 opts.sigma.fmin=-3;
 opts.sigma.fmax=4;
 
-err = mess_sigma_plot(eqn, opts, oper, ROM);
+out = mess_sigma_plot(eqn, opts, oper, ROM); err = out.err;
 
 toc;
 %%  
 if istest
-    if max(err)>=opts.srm.tol, error('MESS:TEST:accuracy','unexpectedly innacurate result'); end
+    if max(err)>=opts.srm.tol, error('MESS:TEST:accuracy','unexpectedly inaccurate result'); end
 else
     figure;
     semilogy(hsv);

DEMOS/DAE2/private/closed_step.m

 function closed_step(eqn,Ar,Br,Cr,problem,K,Kr,istest)
+% Simple validation of the DAE2 MESS closed loop example via a basic
+% step response computation 
 %
+%  ope_step(eqn,Ar,Br,Cr,problem, istest)
+%
+% INPUTS:
+% eqn          The original system equation structure
+% Ar,Br,Cr     The reduced order system matrices
+% K,Kr         full and reduced order feedback matrices
+% problem      'NSE' or 'Stokes' switching between the Stokes demo or the
+%               linearized Navier-Stokes-Equation
+% istest        flag to determine whether this demo runs as a CI test or 
+%               interactive demo
 
 %
 % This program is free software; you can redistribute it and/or modify
@@ -16,7 +28,7 @@ function closed_step(eqn,Ar,Br,Cr,problem,K,Kr,istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 x0=zeros(size(eqn.A_,1),1);
 xr0=zeros(size(Ar,1),1);
@@ -39,13 +51,17 @@ relerr=abs(abserr./y);
  
 %%
 if istest
-    if max(abserr)>=1e-6
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+    maerr = max(abserr);
+    if maerr>=1e-6
+        error('MESS:TEST:accuracy',['unexpectedly inaccurate result ' ...
+                            'in closed loop simulation. Maximum ' ...
+                            'absolute error %e > 1e-6'], maerr); 
+
     end
 else
     colors=['y','m','c','r','g','b','k'];
     
-    figure(20);
+    figure();
     hold on;
     for j=1:size(eqn.C,1)
         plot(T(range),y(j,range),colors(j));
@@ -63,10 +79,8 @@ else
             'out4','out4 red','out5','out5 red','Location','EastOutside');
     end
     hold off;
-    figure(20);
     %%
-    figure(21);
-    
+    figure();    
     for j=1:size(eqn.C,1)
         semilogy(T(range),abserr(j,range),colors(j));
         if j==1, hold on; end
@@ -82,7 +96,7 @@ else
     end
     hold off;    
     
-    figure(22);
+    figure();
     
     for j=1:size(eqn.C,1)
         semilogy(T(range),relerr(j,range),colors(j));

DEMOS/DAE2/private/impeuler.m

@@ -33,7 +33,7 @@ function [y,yr] = impeuler(E,A,B,C,Er,Ar,Br,Cr,tau,tmin,tmax,x0,xr0,alpha)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 
   [L,U,P,Q] = lu(E-tau*A);

DEMOS/DAE2/private/impeuler_closed.m

@@ -34,7 +34,7 @@ function [y,yr] = impeuler_closed(E,A,B,C,Er,Ar,Br,Cr,K,Kr,tau,tmin,tmax,x0,xr0,
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 
  [L,U,P,Q] = lu(E-tau*A);

DEMOS/DAE2/private/open_step.m

 function open_step(eqn,Ar,Br,Cr,problem,istest)
+% Simple validation of the DAE2 MESS open loop example via a basic
+% step response computation 
 %
-
+%  ope_step(eqn,Ar,Br,Cr,problem, istest)
+%
+% INPUTS:
+% eqn          The original system equation structure
+% Ar,Br,Cr     The reduced order system matrices
+% problem      'NSE' or 'Stokes' switching between the Stokes demo or the
+%               linearized Navier-Stokes-Equation
+% istest        flag to determine whether this demo runs as a CI test or 
+%               interactive demo
+ 
 %
 % This program is free software; you can redistribute it and/or modify
 % it under the terms of the GNU General Public License as published by
@@ -16,7 +27,7 @@ function open_step(eqn,Ar,Br,Cr,problem,istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 x0=zeros(size(eqn.A_,1),1);
 xr0=zeros(size(Ar,1),1);
@@ -38,8 +49,11 @@ abserr=abs(y-yr);
 relerr=abs(abserr./y);
 %% 
 if istest
-    if max(abserr)>=1e-6
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+    maerr = max(abserr);
+    if maerr>=1e-6
+        error('MESS:TEST:accuracy',['unexpectedly inaccurate result ' ...
+                            'in open loop simulation. Maximum ' ...
+                            'absolute error %e > 1e-6'], maerr); 
     end
 else
 

DEMOS/DAE2_SO/LQR_DAE2_SO.m

@@ -21,7 +21,7 @@ function LQR_DAE2_SO(istest)
 %     ARGESIM-Reports, Vienna Univ. of Technology, ARGE Simulation News,
 %     Vienna, Austria, 2009, pp. 1232–1243, iSBN/ISSN: 978-3-901608-35-3.   
 %
-% [3] P. Benner, P. Kürschner, J. Saak, Improved second-order balanced
+% [3] P. Benner, P. Kürschner, J. Saak, Improved second-order balanced
 %     truncation for symmetric systems, IFAC Proceedings Volumes (7th
 %     Vienna International Conference on Mathematical Modelling) 45 (2)
 %     (2012) 758–762. https://doi.org/10.3182/20120215-3-AT-3016.00134. 
@@ -47,7 +47,7 @@ function LQR_DAE2_SO(istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 
 %%
@@ -121,7 +121,7 @@ toc;
 
 if istest
     if min(outnm.res)>=opts.nm.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure(1);
@@ -161,7 +161,7 @@ toc;
 
 if istest
     if min(outradi.res)>=opts.radi.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure(2);

DEMOS/DAE3_SO/BT_DAE3_SO.m

@@ -65,7 +65,7 @@ function BT_DAE3_SO(model, tol, max_ord, maxiter, istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 
 %% Input checks
@@ -265,7 +265,7 @@ eqnu.haveE = 1;
 
 operu = operatormanager('so_1');
 
-err = mess_sigma_plot(eqnu, opts, operu, ROM);
+out = mess_sigma_plot(eqnu, opts, operu, ROM); err = out.err;
 
 toc;
 %% final accuracy test used in the continuous integration system or
@@ -274,7 +274,7 @@ if istest
     % the errors are not always perfect in this example, but let's see
     % wether they are "good enough"...
     if (max(err) > 50*tol)
-        error('MESS:TEST:accuracy', ['unexpectedly innacurate result ' ...
+        error('MESS:TEST:accuracy', ['unexpectedly inaccurate result ' ...
                             'for %s %g %d %d (%g)'], model, tol, ...
               max_ord, maxiter,max(err));  
     end

DEMOS/DAE3_SO/LQR_DAE3_SO.m

@@ -25,8 +25,7 @@ function LQR_DAE3_SO(model,istest)
 %     Reduction of Large-Scale Systems, volume 45 of Lecture Notes in 
 %     Computational Science and Engineering, pages 83–115. Springer-Verlag, 
 %     Berlin/Heidelberg, 2005.
-%
-%
+
 % This program is free software; you can redistribute it and/or modify
 % it under the terms of the GNU General Public License as published by
 % the Free Software Foundation; either version 2 of the License, or
@@ -41,7 +40,7 @@ function LQR_DAE3_SO(model,istest)
 % along with this program; if not, see <http://www.gnu.org/licenses/>.
 %
 % Copyright (C) Jens Saak, Martin Koehler, Peter Benner and others 
-%               2009-2019
+%               2009-2020
 %
 %%
 narginchk(0,2);
@@ -111,7 +110,7 @@ toc;
 
 if istest
     if min(outnm.res)>=opts.nm.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure(1);
@@ -154,7 +153,7 @@ toc;
 
 if istest
     if min(outradi.res)>=opts.radi.res_tol
-        error('MESS:TEST:accuracy','unexpectedly innacurate result'); 
+        error('MESS:TEST:accuracy','unexpectedly inaccurate result'); 
     end
 else
     figure(2);

DEMOS/DAE3_SO/runme_BT_DAE3_SO.m

+%  Driver script for the results presented in:
+%
+%  J. Saak, M. Voigt, Model reduction of constrained mechanical systems
+%  in M-M.E.S.S., IFAC-PapersOnLine 9th Vienna International Conference
+%  on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21–23
+%  February 2018 51 (2) (2018) 661–666.
+%  https://doi.org/10.1016/j.ifacol.2018.03.112.      
+
+%
+% This program is free software; you can redistribute it and/or modify
+% it under the terms of the GNU General Public License as published by
+% the Free Software Foundation; either version 2 of the License, or
+% (at your option) any later version.