diff --git a/go.mod b/go.mod
index 9f032423..835c2324 100644
--- a/go.mod
+++ b/go.mod
@@ -3,7 +3,7 @@ module gonum.org/v1/netlib
 require (
 	github.com/remyoudompheng/bigfft v0.0.0-20190728182440-6a916e37a237 // indirect
 	golang.org/x/exp v0.0.0-20190312203227-4b39c73a6495
-	gonum.org/v1/gonum v0.6.0
+	gonum.org/v1/gonum v0.6.2
 	modernc.org/cc v1.0.0
 	modernc.org/golex v1.0.0 // indirect
 	modernc.org/mathutil v1.0.0 // indirect
diff --git a/go.sum b/go.sum
index 01654adb..3ac09b1b 100644
--- a/go.sum
+++ b/go.sum
@@ -24,6 +24,8 @@ golang.org/x/tools v0.0.0-20190312151545-0bb0c0a6e846/go.mod h1:LCzVGOaR6xXOjkQ3
 gonum.org/v1/gonum v0.0.0-20180816165407-929014505bf4/go.mod h1:Y+Yx5eoAFn32cQvJDxZx5Dpnq+c3wtXuadVZAcxbbBo=
 gonum.org/v1/gonum v0.6.0 h1:DJy6UzXbahnGUf1ujUNkh/NEtK14qMo2nvlBPs4U5yw=
 gonum.org/v1/gonum v0.6.0/go.mod h1:9mxDZsDKxgMAuccQkewq682L+0eCu4dCN2yonUJTCLU=
+gonum.org/v1/gonum v0.6.2 h1:4r+yNT0+8SWcOkXP+63H2zQbN+USnC73cjGUxnDF94Q=
+gonum.org/v1/gonum v0.6.2/go.mod h1:9mxDZsDKxgMAuccQkewq682L+0eCu4dCN2yonUJTCLU=
 gonum.org/v1/netlib v0.0.0-20190313105609-8cb42192e0e0/go.mod h1:wa6Ws7BG/ESfp6dHfk7C6KdzKA7wR7u/rKwOGE66zvw=
 gonum.org/v1/plot v0.0.0-20190515093506-e2840ee46a6b/go.mod h1:Wt8AAjI+ypCyYX3nZBvf6cAIx93T+c/OS2HFAYskSZc=
 modernc.org/cc v1.0.0 h1:nPibNuDEx6tvYrUAtvDTTw98rx5juGsa5zuDnKwEEQQ=
diff --git a/lapack/netlib/lapack.go b/lapack/netlib/lapack.go
index f18105a2..e513a836 100644
--- a/lapack/netlib/lapack.go
+++ b/lapack/netlib/lapack.go
@@ -573,8 +573,14 @@ func (impl Implementation) Dlantr(norm lapack.MatrixNorm, uplo blas.Uplo, diag b
 		panic(badUplo)
 	case diag != blas.Unit && diag != blas.NonUnit:
 		panic(badDiag)
+	case m < 0:
+		panic(mLT0)
+	case uplo == blas.Upper && m > n:
+		panic(mGTN)
 	case n < 0:
 		panic(nLT0)
+	case uplo == blas.Lower && n > m:
+		panic(nGTM)
 	case lda < max(1, n):
 		panic(badLdA)
 	}
@@ -593,7 +599,8 @@ func (impl Implementation) Dlantr(norm lapack.MatrixNorm, uplo blas.Uplo, diag b
 	}
 
 	if norm == lapack.MaxRowSum && len(work) < m {
-		// Unfortunately we have to allocate work for LAPACKE.
+		// Allocate new work to be on the safe side because the expectation of LAPACKE on
+		// row-major input is unclear.
 		work = make([]float64, m)
 	}
 	return lapacke.Dlantr(byte(norm), byte(uplo), byte(diag), m, n, a, lda, work)