diff --git a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.js b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.js
index 22a6a4b1316c..526169a16a72 100644
--- a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.js
+++ b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.js
@@ -23,9 +23,40 @@
 var tape = require( 'tape' );
 var sqrt = require( '@stdlib/math/base/special/sqrt' );
 var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
 var dnrm2 = require( './../lib/dnrm2.js' );
 
 
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+	var delta;
+	var tol;
+	var i;
+
+	t.strictEqual( actual.length, expected.length, 'returns expected value' );
+	for ( i = 0; i < expected.length; i++ ) {
+		if ( actual[ i ] === expected[ i ] ) {
+			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+		} else {
+			delta = abs( actual[ i ] - expected[ i ] );
+			tol = rtol * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+}
+
+
 // TESTS //
 
 tape( 'main export is a function', function test( t ) {
@@ -53,6 +84,33 @@ tape( 'the function calculates the L2-norm of a vector', function test( t ) {
 	z = dnrm2( x.length, x, 1 );
 	t.strictEqual( z, 4.0, 'returns expected value' );
 
+	x = new Float64Array( [ 1.0e150, 1.0e150, 1.0e150, 1.0e150 ] );
+
+	z = dnrm2( x.length, x, 1 );
+	t.strictEqual( z, 2.0e+150, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e-155, 1.0e-155, 1.0e-155 ] );
+
+	z = dnrm2( x.length, x, 1 );
+	t.strictEqual( z, 2.0e-155, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e150, 1.0e50, 1.0e150, 1.0e50 ] );
+
+	x = new Float64Array( [ 1.0e150, 1.0e50, 1.0e150, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e150, 1.0 );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e50, 1.0e-155, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e50, 1.0 );
+
+	x = new Float64Array( [ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 2.4839480006885204e-154, 1.0 );
+
 	t.end();
 });
 
diff --git a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.native.js b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.native.js
index 9441031a1b28..0b265ce7667f 100644
--- a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.native.js
+++ b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.native.js
@@ -24,6 +24,8 @@ var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var sqrt = require( '@stdlib/math/base/special/sqrt' );
 var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 
 
@@ -35,6 +37,35 @@ var opts = {
 };
 
 
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+	var delta;
+	var tol;
+	var i;
+
+	t.strictEqual( actual.length, expected.length, 'returns expected value' );
+	for ( i = 0; i < expected.length; i++ ) {
+		if ( actual[ i ] === expected[ i ] ) {
+			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+		} else {
+			delta = abs( actual[ i ] - expected[ i ] );
+			tol = rtol * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+}
+
+
 // TESTS //
 
 tape( 'main export is a function', opts, function test( t ) {
@@ -62,6 +93,31 @@ tape( 'the function calculates the L2-norm of a vector', opts, function test( t
 	z = dnrm2( x.length, x, 1 );
 	t.strictEqual( z, 4.0, 'returns expected value' );
 
+	x = new Float64Array( [ 1.0e150, 1.0e150, 1.0e150, 1.0e150 ] );
+
+	z = dnrm2( x.length, x, 1 );
+	t.strictEqual( z, 2.0e+150, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e-155, 1.0e-155, 1.0e-155 ] );
+
+	z = dnrm2( x.length, x, 1 );
+	t.strictEqual( z, 2.0e-155, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e150, 1.0e50, 1.0e150, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e150, 1.0 );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e50, 1.0e-155, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e50, 1.0 );
+
+	x = new Float64Array( [ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 2.4839480006885204e-154, 1.0 );
+
 	t.end();
 });
 
diff --git a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.js
index 1962dcf9419e..d006f32794ea 100644
--- a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.js
+++ b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.js
@@ -23,9 +23,40 @@
 var tape = require( 'tape' );
 var sqrt = require( '@stdlib/math/base/special/sqrt' );
 var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
 var dnrm2 = require( './../lib/ndarray.js' );
 
 
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+	var delta;
+	var tol;
+	var i;
+
+	t.strictEqual( actual.length, expected.length, 'returns expected value' );
+	for ( i = 0; i < expected.length; i++ ) {
+		if ( actual[ i ] === expected[ i ] ) {
+			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+		} else {
+			delta = abs( actual[ i ] - expected[ i ] );
+			tol = rtol * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+}
+
+
 // TESTS //
 
 tape( 'main export is a function', function test( t ) {
@@ -53,6 +84,31 @@ tape( 'the function calculates the L2-norm of a vector', function test( t ) {
 	z = dnrm2( x.length, x, 1, 0 );
 	t.strictEqual( z, 4.0, 'returns expected value' );
 
+	x = new Float64Array( [ 1.0e150, 1.0e150, 1.0e150, 1.0e150 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	t.strictEqual( z, 2.0e+150, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e-155, 1.0e-155, 1.0e-155 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	t.strictEqual( z, 2.0e-155, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e150, 1.0e50, 1.0e150, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e150, 1.0 );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e50, 1.0e-155, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e50, 1.0 );
+
+	x = new Float64Array( [ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 2.4839480006885204e-154, 1.0 );
+
 	t.end();
 });
 
diff --git a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.native.js b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.native.js
index 541af646c82e..bef281bbf0ce 100644
--- a/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.native.js
+++ b/lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.native.js
@@ -24,6 +24,8 @@ var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var sqrt = require( '@stdlib/math/base/special/sqrt' );
 var Float64Array = require( '@stdlib/array/float64' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 
 
@@ -35,6 +37,35 @@ var opts = {
 };
 
 
+// FUNCTIONS //
+
+/**
+* Tests for element-wise approximate equality.
+*
+* @private
+* @param {Object} t - test object
+* @param {Collection} actual - actual values
+* @param {Collection} expected - expected values
+* @param {number} rtol - relative tolerance
+*/
+function isApprox( t, actual, expected, rtol ) {
+	var delta;
+	var tol;
+	var i;
+
+	t.strictEqual( actual.length, expected.length, 'returns expected value' );
+	for ( i = 0; i < expected.length; i++ ) {
+		if ( actual[ i ] === expected[ i ] ) {
+			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
+		} else {
+			delta = abs( actual[ i ] - expected[ i ] );
+			tol = rtol * EPS * abs( expected[ i ] );
+			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
+		}
+	}
+}
+
+
 // TESTS //
 
 tape( 'main export is a function', opts, function test( t ) {
@@ -62,6 +93,31 @@ tape( 'the function calculates the L2-norm of a vector', opts, function test( t
 	z = dnrm2( x.length, x, 1, 0 );
 	t.strictEqual( z, 4.0, 'returns expected value' );
 
+	x = new Float64Array( [ 1.0e150, 1.0e150, 1.0e150, 1.0e150 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	t.strictEqual( z, 2.0e+150, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e-155, 1.0e-155, 1.0e-155 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	t.strictEqual( z, 2.0e-155, 'returns expected value' );
+
+	x = new Float64Array( [ 1.0e150, 1.0e50, 1.0e150, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e150, 1.0 );
+
+	x = new Float64Array( [ 1.0e-155, 1.0e50, 1.0e-155, 1.0e50 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 1.4142135623730951e50, 1.0 );
+
+	x = new Float64Array( [ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ] );
+
+	z = dnrm2( x.length, x, 1, 0 );
+	isApprox( t, z, 2.4839480006885204e-154, 1.0 );
+
 	t.end();
 });