diff --git a/docs/sphinx/changelog.rst b/docs/sphinx/changelog.rst
index 6af67fe..f8d486a 100644
--- a/docs/sphinx/changelog.rst
+++ b/docs/sphinx/changelog.rst
@@ -41,6 +41,7 @@ Internal Changes
 - Added an active set solver for quadratic problems (:pull:`167`). By `Nathan Miller`_.
 - Allow for initial values to be set for the micromorphic hydra base class (:pull:`168`). By `Nathan Miller`_.
 - Working towards improved convergence (:pull:`170`). By `Nathan Miller`_.
+- Set the initial estimate of the plastic multiplier to be positive in the case of yielding (:pull:`174`). By `Nathan Miller`_.
 
 Bug Fixes
 =========
diff --git a/src/cpp/tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp b/src/cpp/tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
index 275f331..ceb74bd 100644
--- a/src/cpp/tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
+++ b/src/cpp/tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
@@ -434,20 +434,47 @@ namespace tardigradeHydra{
             indices = std::vector< unsigned int >( getStateVariableIndices( )->begin( ) + offset,
                                                    getStateVariableIndices( )->end( ) );
 
-            indices += ( *hydra->getNumConfigurations( ) ) * ( *hydra->getConfigurationUnknownCount( ) );
-
             values  = std::vector< floatType >( 5, 0 );
 
             values[ 0 ] = std::fmax( 0, -( *get_macroYield( ) ) );
 
+            if ( ( *get_macroYield( ) ) > 0 ){
+
+                // Perturb the plastic multiplier
+                floatType delta = std::fmax( ( *get_plasticMultipliers( ) )[ 0 ], ( *hydra->getRelativeTolerance( ) ) * ( *get_macroYield( ) ) + ( *hydra->getAbsoluteTolerance( ) ) );
+                indices.push_back( ( *getStateVariableIndices( ) )[ 0 ] );
+                values.push_back( delta );
+
+            }
+
             values[ 1 ] = std::fmax( 0, -( *get_microYield( ) ) );
 
+            if ( ( *get_microYield( ) ) > 0 ){
+
+                // Perturb the plastic multiplier
+                floatType delta = std::fmax( ( *get_plasticMultipliers( ) )[ 1 ], ( *hydra->getRelativeTolerance( ) ) * ( *get_microYield( ) ) + ( *hydra->getAbsoluteTolerance( ) ) );
+                indices.push_back( ( *getStateVariableIndices( ) )[ 1 ] );
+                values.push_back( delta );
+
+            }
+
             for ( unsigned int i = 0; i < dim; i++ ){
 
                 values[ i + 2 ] = std::fmax( 0, -( *get_microGradientYield( ) )[ i ] );
 
+                if ( ( *get_microGradientYield( ) )[ i ] > 0 ){
+    
+                    // Perturb the plastic multiplier
+                    floatType delta = std::fmax( ( *get_plasticMultipliers( ) )[ i + 2 ], ( *hydra->getRelativeTolerance( ) ) * ( *get_microGradientYield( ) )[ i ] + ( *hydra->getAbsoluteTolerance( ) ) );
+                    indices.push_back( ( *getStateVariableIndices( ) )[ i + 2 ] );
+                    values.push_back( delta );
+    
+                }
+
             }
 
+            indices += ( *hydra->getNumConfigurations( ) ) * ( *hydra->getConfigurationUnknownCount( ) );
+
         }
 
     }
diff --git a/src/cpp/tests/test_tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp b/src/cpp/tests/test_tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
index 332bde9..d5e3a1a 100644
--- a/src/cpp/tests/test_tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
+++ b/src/cpp/tests/test_tardigrade_hydraMicromorphicDruckerPragerPlasticityOptimization.cpp
@@ -1658,9 +1658,9 @@ BOOST_AUTO_TEST_CASE( test_suggestInitialIterates, * boost::unit_test::tolerance
 
     unsigned int configuration_unknown_count = 45;
 
-    floatType tolr = 1e-2;
+    floatType tolr = 1e-9;
 
-    floatType tola = 1e-3;
+    floatType tola = 1e-9;
 
     unsigned int maxIterations = 24;
 
@@ -1808,9 +1808,15 @@ BOOST_AUTO_TEST_CASE( test_suggestInitialIterates, * boost::unit_test::tolerance
 
     R2.microGradientYield = -R.microGradientYield;
 
-    const std::vector< unsigned int > index_answer = { 100, 101, 102, 103, 104 };
+    const std::vector< unsigned int > index_answer1 = { 100, 101, 102, 103, 104, 90, 91, 92, 93, 94 };
+    const std::vector< unsigned int > index_answer2 = { 100, 101, 102, 103, 104 };
 
-    floatVector answer1( 5, 0 );
+    floatVector answer1( 10, 0 );
+    answer1[ 5 ] = 0.01;
+    answer1[ 6 ] = 0.02;
+    answer1[ 7 ] = 0.03;
+    answer1[ 8 ] = 0.04;
+    answer1[ 9 ] = 0.05;
 
     floatVector answer2( 5, 0 );
     answer2[ 0 ] = -R2.macroYield;
@@ -1826,7 +1832,7 @@ BOOST_AUTO_TEST_CASE( test_suggestInitialIterates, * boost::unit_test::tolerance
 
     BOOST_TEST( answer1 == value_result, CHECK_PER_ELEMENT );
 
-    BOOST_TEST( index_answer == index_result, CHECK_PER_ELEMENT );
+    BOOST_TEST( index_answer1 == index_result, CHECK_PER_ELEMENT );
 
     value_result.clear( );
     index_result.clear( );
@@ -1835,6 +1841,6 @@ BOOST_AUTO_TEST_CASE( test_suggestInitialIterates, * boost::unit_test::tolerance
 
     BOOST_TEST( answer2 == value_result, CHECK_PER_ELEMENT );
 
-    BOOST_TEST( index_answer == index_result, CHECK_PER_ELEMENT );
+    BOOST_TEST( index_answer2 == index_result, CHECK_PER_ELEMENT );
 
 }