diff --git a/src/Math-Matrix-Tests/PMQRTest.class.st b/src/Math-Matrix-Tests/PMQRTest.class.st
index b8b5d7b..4f1e753 100644
--- a/src/Math-Matrix-Tests/PMQRTest.class.st
+++ b/src/Math-Matrix-Tests/PMQRTest.class.st
@@ -31,7 +31,6 @@ PMQRTest >> assert: inverse isMoorePenroseInverseOf: aMatrix [
 { #category : 'tests' }
 PMQRTest >> testDecompositionOfMatrixCausingErraticFailure [
 
-	<expectedFailure>
 	| a qrDecomposition matricesAndPivot q r expectedMatrix pivot |
 	a := PMSymmetricMatrix rows:
 		     #( #( 0.41929313699681925 0.05975350554089691
diff --git a/src/Math-Matrix/PMQRDecomposition.class.st b/src/Math-Matrix/PMQRDecomposition.class.st
index b361301..5fc426c 100644
--- a/src/Math-Matrix/PMQRDecomposition.class.st
+++ b/src/Math-Matrix/PMQRDecomposition.class.st
@@ -8,7 +8,8 @@ Class {
 		'matrixToDecompose',
 		'colSize',
 		'r',
-		'q'
+		'q',
+		'comparisonPrecision'
 	],
 	#category : 'Math-Matrix',
 	#package : 'Math-Matrix'
@@ -21,6 +22,18 @@ PMQRDecomposition class >> of: matrix [
 	^ self new of: matrix
 ]
 
+{ #category : 'constants' }
+PMQRDecomposition >> comparisonPrecision [
+
+	^ comparisonPrecision ifNil: [ self defaultComparisonPrecision ]
+]
+
+{ #category : 'accessing' }
+PMQRDecomposition >> comparisonPrecision: anObject [
+
+	comparisonPrecision := anObject
+]
+
 { #category : 'arithmetic' }
 PMQRDecomposition >> decompose [
 	"
@@ -108,7 +121,7 @@ PMQRDecomposition >> decomposeWithPivot [
 			positionOfMaximum := (vectorOfNormSquareds
 				       copyFrom: rank + 1
 				       to: vectorOfNormSquareds size) max.
-			(positionOfMaximum closeTo: 0) ifTrue: [ positionOfMaximum := 0 ].
+			(positionOfMaximum closeTo: 0 precision: self comparisonPrecision) ifTrue: [ positionOfMaximum := 0 ].
 			positionOfMaximum := positionOfMaximum > 0
 				      ifTrue: [ 
 				      vectorOfNormSquareds indexOf: positionOfMaximum startingAt: rank + 1 ]
@@ -128,6 +141,12 @@ PMQRDecomposition >> decomposeWithPivot [
 	^ Array with: q with: r with: pivot
 ]
 
+{ #category : 'constants' }
+PMQRDecomposition >> defaultComparisonPrecision [
+
+	^ 0.0001
+]
+
 { #category : 'private' }
 PMQRDecomposition >> householderReflectionOf: columnVector atColumnNumber: columnNumber [