docs: add intro section

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---

Author: aayush0325

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

@@ -22,6 +22,32 @@ limitations under the License.
 
 > LAPACK routine to multiply a double-precision floating-point M-by-N matrix `A` by a double-precision floating-point scalar.
 
+<section class="intro">
+
+The `dlascl` routine multiplies each element of an M-by-N matrix `A` by a scalar `α`
+
+<!-- <equation class="equation" label="eq:scaling_operation" align="center" raw="B = \alpha \cdot A = \alpha \cdot \left[ a_{1,1} a_{1,2} \ldots a_{0,N} \quad \ldots \right] = \left[ \alpha a_{1,1} \alpha a_{1,2} \ldots \alpha a_{0,N} \quad \ldots \right]" alt="Equation for matrix scaling operation."> -->
+
+```math
+B = \alpha \cdot A = \alpha \cdot \left[ a_{1,1} a_{1,2} \ldots a_{0,N} \quad \ldots \right] = \left[ \alpha a_{1,1} \alpha a_{1,2} \ldots \alpha a_{0,N} \quad \ldots \right]
+```
+
+<!-- </equation> -->
+
+In order to more readily avoid underflow/overflow, this routine chooses to represent `α` as the product of
+
+<!-- <equation class="equation" label="eq:alpha_representation" align="center" raw="\alpha = \beta \cdot \frac{1}{\gamma}" alt="Equation for alpha representation as beta over gamma."> -->
+
+```math
+\alpha = \beta \cdot \frac{1}{\gamma}
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
 <section class="usage">
 
 ## Usage
@@ -56,8 +82,6 @@ The function has the following parameters:
 -   **A**: input [`Float64Array`][mdn-float64array].
 -   **LDA**: stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`).
 
-If `type` is `'banded'`, `'symmetric-banded-lower'`, or `'symmetric-banded-upper'`, the matrix should be stored in the [band storage][lapack-band-storage] format.
-
 Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
 
 <!-- eslint-disable stdlib/capitalized-comments -->
@@ -102,7 +126,6 @@ The function has the following parameters:
 -   **strideA2**: stride of the second dimension of `A`.
 -   **offsetA**: starting index for `A`.
 
-If `type` is `'banded'`, `'symmetric-banded-lower'`, or `'symmetric-banded-upper'`, the matrix should be stored in the [band storage][lapack-band-storage] format.
 
 While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example,
 
@@ -124,7 +147,7 @@ dlascl.ndarray( 'general', 0, 0, 1.0, 2.0, 3, 2, A, 2, 1, 1 );
 ## Notes
 
 -   `dlascl()` corresponds to the [LAPACK][lapack] routine [`dlascl`][lapack-dlascl].
--   If `type` is `banded`, `symmetric-banded-lower` or `symmetric-banded-upper` the matrix should be stored in the [`Band storage`][lapack-band-storage] format.
+-   If `type` is `'banded'`, `'symmetric-banded-lower'`, or `'symmetric-banded-upper'`, the matrix should be stored in the [band storage][lapack-band-storage] format.
 
 </section>