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Author: aayush0325

lib/node_modules/@stdlib/lapack/base/dlaqr1/README.md

@@ -20,7 +20,7 @@ limitations under the License.
 
 # dlaqr1
 
-> Given a 2-by-2 or a 3-by-3 matrix `H`, this LAPACK routine sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+> Compute the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 
 <section class="intro">
 

lib/node_modules/@stdlib/lapack/base/dlaqr1/docs/repl.txt

@@ -1,8 +1,9 @@
 
 {{alias}}( order, N, H, LDH, sr1, si1, sr2, si2, V )
-    Given a 2-by-2 or a 3-by-3 matrix `H`, this LAPACK routine sets `V` to a
-    scalar multiple of the first column of `K` where:
-        `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+    Computes the scalar multiple of the first column of `K` where
+    `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where
+    `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the
+    identity matrix.
 
     Indexing is relative to the first index. To introduce an offset, use typed
     array views.
@@ -56,10 +57,10 @@
 
 
 {{alias}}.ndarray( N, H, sh1, sh2, oh, sr1, si1, sr2, si2, V, sv, ov )
-    Given a 2-by-2 or a 3-by-3 matrix `H`, this LAPACK routine sets `V` to a
-    scalar multiple of the first column of `K` using alternative indexing
-    semantics where:
-        `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+    Computes the scalar multiple of the first column of `K` using alternative
+    indexing semantics where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3
+    matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`,
+    and `I` is the identity matrix.
 
     It is expected that either `sr1 = sr2` and `si1 + si2 = 0` or si1 = si2 = 0`
     (i.e., they represent complex conjugate values).

lib/node_modules/@stdlib/lapack/base/dlaqr1/docs/types/index.d.ts

@@ -27,7 +27,7 @@ import { Layout } from '@stdlib/types/blas';
 */
 interface Routine {
 	/**
-	* Given a 2-by-2 or a 3-by-3 matrix `H`, sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+	* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 	*
 	* ## Notes
 	*
@@ -58,7 +58,7 @@ interface Routine {
 	( order: Layout, N: number, H: Float64Array, LDH: number, sr1: number, si1: number, sr2: number, si2: number, V: Float64Array ): Float64Array;
 
 	/**
-	* Given a 2-by-2 or a 3-by-3 matrix `H`, sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)` using alternative indexing semantics.
+	* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` using alternative indexing semantics and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 	*
 	* ## Notes
 	*
@@ -93,7 +93,7 @@ interface Routine {
 }
 
 /**
-* Given a 2-by-2 or a 3-by-3 matrix `H`, sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 *
 * ## Notes
 *

lib/node_modules/@stdlib/lapack/base/dlaqr1/lib/base.js

@@ -26,7 +26,7 @@ var abs = require( '@stdlib/math/base/special/fast/abs' );
 // MAIN //
 
 /**
-* Given a 2-by-2 or a 3-by-3 matrix `H`, this function sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 *
 * ## Notes
 *

lib/node_modules/@stdlib/lapack/base/dlaqr1/lib/dlaqr1.js

@@ -31,7 +31,7 @@ var base = require( './base.js' );
 // MAIN //
 
 /**
-* Given a 2-by-2 or a 3-by-3 matrix `H`, this function sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 *
 * ## Notes
 *

lib/node_modules/@stdlib/lapack/base/dlaqr1/lib/index.js

@@ -19,7 +19,7 @@
 'use strict';
 
 /**
-* Given a 2-by-2 or a 3-by-3 matrix `H`, this LAPACK routine sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.
+* Compute the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 *
 * ## Notes
 *

lib/node_modules/@stdlib/lapack/base/dlaqr1/lib/ndarray.js

@@ -27,7 +27,7 @@ var base = require( './base.js' );
 // MAIN //
 
 /**
-* Given a 2-by-2 or a 3-by-3 matrix `H`, this function sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)` using alternative indexing semantics.
+* Computes the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` using alternative indexing semantics and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.
 *
 * ## Notes
 *

lib/node_modules/@stdlib/lapack/base/dlaqr1/package.json

@@ -1,7 +1,7 @@
 {
   "name": "@stdlib/lapack/base/dlaqr1",
   "version": "0.0.0",
-  "description": "Given a 2-by-2 or a 3-by-3 matrix `H`, this LAPACK routine sets `V` to a scalar multiple of the first column of `K` where `K = (H - (sr1 + i*si1)*I)*(H - (sr2 + i*si2)*I)`.",
+  "description": "Compute the scalar multiple of the first column of `K` where `K = (H - Z1)*(H - Z2)` for a 2-by-2 or a 3-by-3 matrix `H` and where `Z1 = z1*I`, `Z2 = z2*I`, `z1 = a + bi`, `z2 = c + di`, and `I` is the identity matrix.",
   "license": "Apache-2.0",
   "author": {
     "name": "The Stdlib Authors",