chore: code revieww

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---

Author: aayush0325

lib/node_modules/@stdlib/lapack/base/dgttrf/README.md

@@ -24,7 +24,7 @@ limitations under the License.
 
 <section class="intro">
 
-The `dgttrf` routine computes an LU factorization of a real n-by-n tridiagonal matrix A using elimination with partial pivoting and row interchanges. The factorization has the form:
+The `dgttrf` routine computes an LU factorization of a real n-by-n tridiagonal matrix `A` using elimination with partial pivoting and row interchanges. The factorization has the form:
 
 <!-- <equation class="equation" label="eq:lu_decomposition" align="center" raw="A = L U" alt="Equation for LU factorization."> -->
 
@@ -36,9 +36,9 @@ A = L U
 
 <!-- </equation> -->
 
-where L is a product of permutation and unit lower bidiagonal matrices and U is upper triangular with nonzeros in only the main diagonal and first two superdiagonals.
+where `L` is a product of permutation and unit lower bidiagonal matrices and `U` is upper triangular with nonzeros in only the main diagonal and first two superdiagonals.
 
-For a tridiagonal matrix A, its elements are stored in three arrays:
+For a tridiagonal matrix `A`, its elements are stored in three arrays:
 
 <!-- <equation class="equation" label="eq:matrix_a" align="center" raw="A = \begin{bmatrix}
     d_1    & du_1   & 0      & \cdots & 0      \\
@@ -70,17 +70,17 @@ A = \begin{bmatrix}
 
 where:
 
--   `dl` contains the subdiagonal elements
--   `d` contains the diagonal elements
--   `du` contains the superdiagonal elements
+-   `dl` contains the subdiagonal elements.
+-   `d` contains the diagonal elements.
+-   `du` contains the superdiagonal elements.
 
-After factorization, the elements of L and U overwrite the input arrays, where:
+After factorization, the elements of `L` and `U` overwrite the input arrays, where:
 
--   `dl` contains the multipliers that define unit lower bidiagonal matrix L
--   `d` contains the diagonal elements of U
--   `du` and `du2` contain the elements of U on the first and second superdiagonals
+-   `dl` contains the multipliers that define unit lower bidiagonal matrix `L`.
+-   `d` contains the diagonal elements of `U`.
+-   `du` and `du2` contain the elements of `U` on the first and second superdiagonals.
 
-The resulting L and U matrices have the following structure:
+The resulting `L` and `U` matrices have the following structure:
 
 <!-- <equation class="equation" label="eq:matrix_l" align="center" raw="L = \begin{bmatrix}
     1      & 0      & 0      & \cdots & 0      \\

lib/node_modules/@stdlib/lapack/base/dgttrf/lib/base.js

@@ -87,9 +87,6 @@ function dgttrf( N, DL, strideDL, offsetDL, D, strideD, offsetD, DU, strideDU, o
 		return 0;
 	}
 
-	idl = offsetDL;
-	id = offsetD;
-	idu = offsetDU;
 	idu2 = offsetDU2;
 	ip = offsetIPIV;
 
@@ -109,6 +106,9 @@ function dgttrf( N, DL, strideDL, offsetDL, D, strideD, offsetD, DU, strideDU, o
 	// Set the pointers to the starting indices
 	idu2 = offsetDU2;
 	ip = offsetIPIV;
+	idl = offsetDL;
+	id = offsetD;
+	idu = offsetDU;
 
 	for ( i = 0; i < N-2; i++ ) {
 		if ( abs( D[ id ] ) >= abs( DL[ idl ] ) ) { // No row interchange required, eleminate ith element of DL
@@ -137,13 +137,8 @@ function dgttrf( N, DL, strideDL, offsetDL, D, strideD, offsetD, DU, strideDU, o
 	}
 
 	if ( N > 1 ) {
+		// Perform the final (N-2)th iteration separately for the last two rows
 		i = N - 2;
-		idl = offsetDL + ( strideDL * i );
-		id = offsetD + ( strideD * i );
-		idu = offsetDU + ( strideDU * i );
-		idu2 = offsetDU2 + ( strideDU2 * i );
-		ip = offsetIPIV + ( strideIPIV * i );
-
 		if ( abs( D[ id ] ) >= abs( DL[ idl ] ) ) {
 			if ( D[ id ] !== 0 ) {
 				fact = DL[ idl ] / D[ id ];
@@ -163,7 +158,7 @@ function dgttrf( N, DL, strideDL, offsetDL, D, strideD, offsetD, DU, strideDU, o
 
 	id = offsetD;
 
-	// Check for a 0 on the diagonal of U
+	// Check if U is singular
 	for ( i = 0; i < N; i++ ) {
 		if ( D[ id ] === 0.0 ) {
 			return i;