Features:

Bug Fixes/Re-organization:

Samples:

IdeaDRIP:

	- Sylvester Equation - Roth's Removal Rule #1 (1-6)
	- Sylvester Equation - Numerical Solutions #1 (7-12)
	- Sylvester Equation - Introduction (13-24)
	- Sylvester Equation - Existence and uniqueness of the solutions (25-58)
	- Sylvester Equation - Roth's Removal Rule #2 (59-66)
	- Sylvester Equation - Numerical Solutions #2 (67-72)
	- Triangular Matrix (73-77)
	- Triangular Matrix Description (78-85)
	- Triangular Matrix Description - Example (86)
	- Triangular Matrix Forward and Back Substitution (87-92)
	- Triangular Matrix Forward and Back Substitution - (93-106)
	- Triangular Matrix Forward and Back Substitution - Applications (107)
	- Triangular Matrix Properties (108-119)
	- Triangular Matrix Special Forms - Unitriangular (120)

NumericalAnalysisLibrary.md

@@ -11,7 +11,7 @@ Numerical Analysis Library contains the supporting Functionality for Numerical M
 
  |        Document         | Link |
  |-------------------------|------|
- | Technical Specification | [*Latest*](https://github.com/lakshmiDRIP/DROP/blob/master/Docs/Internal/NumericalAnalysis/NumericalAnalysis_v6.39.pdf) [*Previous*](https://github.com/lakshmiDRIP/DROP/blob/master/Docs/Internal/NumericalAnalysis) |
+ | Technical Specification | [*Latest*](https://github.com/lakshmiDRIP/DROP/blob/master/Docs/Internal/NumericalAnalysis/NumericalAnalysis_v6.40.pdf) [*Previous*](https://github.com/lakshmiDRIP/DROP/blob/master/Docs/Internal/NumericalAnalysis) |
  | User Guide              |  |
  | API                     | [*Javadoc*](https://lakshmidrip.github.io/DROP/Javadoc/index.html)|
 
@@ -349,6 +349,11 @@ Numerical Analysis Library contains the supporting Functionality for Numerical M
 	* Crank–Nicolson for nonlinear problems
 	* Application in financial mathematics
 	* References
+ * Sylvester equation
+	* Existence and uniqueness of the solutions
+	* Roth's removal rule
+	* Numerical solutions
+	* References
 
 
 ## DROP Specifications

ReleaseNotes/01_29_2024.txt

@@ -0,0 +1,21 @@
+
+Features:
+
+Bug Fixes/Re-organization:
+
+Samples:
+
+IdeaDRIP:
+
+	- Alternating-direction implicit method ADI for matrix equations - Shift-parameter selection and the ADI error equation (1-8)
+	- Alternating-direction implicit method ADI for matrix equations - Near-optimal shift parameters (9-22)
+	- Alternating-direction implicit method ADI for matrix equations - Heuristic shift-parameter strategies (23-26)
+	- Alternating-direction implicit method ADI for matrix equations - Factored (27-36)
+	- Alternating-direction implicit method ADI for parabolic equations (37-39)
+	- Alternating-direction implicit method ADI for parabolic equations - Example 2D Diffusion (39-60)
+	- Alternating-direction implicit method ADI for parabolic equations - Generalizations (61-66)
+	- Alternating-direction implicit method Fundamental ADI (FADI) - Simplification of to (67-69)
+	- Alternating-direction implicit method Fundamental ADI (FADI) - Relations to other implicit methods (70-72)
+	- Sylvester Equation - Introduction (73-84)
+	- Sylvester Equation - Existence and uniqueness of the solutions (85-118)
+	- Sylvester Equation - Roth's Removal Rule (119-120)

ReleaseNotes/01_30_2024.txt

@@ -0,0 +1,23 @@
+
+Features:
+
+Bug Fixes/Re-organization:
+
+Samples:
+
+IdeaDRIP:
+
+	- Sylvester Equation - Roth's Removal Rule #1 (1-6)
+	- Sylvester Equation - Numerical Solutions #1 (7-12)
+	- Sylvester Equation - Introduction (13-24)
+	- Sylvester Equation - Existence and uniqueness of the solutions (25-58)
+	- Sylvester Equation - Roth's Removal Rule #2 (59-66)
+	- Sylvester Equation - Numerical Solutions #2 (67-72)
+	- Triangular Matrix (73-77)
+	- Triangular Matrix Description (78-85)
+	- Triangular Matrix Description - Example (86)
+	- Triangular Matrix Forward and Back Substitution (87-92)
+	- Triangular Matrix Forward and Back Substitution - (93-106)
+	- Triangular Matrix Forward and Back Substitution - Applications (107)
+	- Triangular Matrix Properties (108-119)
+	- Triangular Matrix Special Forms - Unitriangular (120)