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Tag: Numerical Methods

eigenvalues of a matrix using lu decomposition

Eigenvalues of a Matrix: How to Find Them Using LU Decomposition

06/07/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

Eigenvalues of a matrix can be found not only through the characteristic polynomial. In numerical methods, another approach is often

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eigenvalues of a matrix faddeev method

Eigenvalues of a Matrix: How the Faddeev Method Works

29/06/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

Eigenvalues of a matrix can be found not only by directly calculating the characteristic determinant. One convenient approach is the

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eigenvalues of a matrix using leverrier method

Eigenvalues of a Matrix: Finding Them with the Leverrier Method

22/06/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

The Leverrier method is a way to find the eigenvalues of a matrix using the characteristic polynomial. Its advantage is

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eigenvectors of a matrix krylov method

Eigenvectors of a Matrix: Construction Using Krylov Vectors

15/06/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

Eigenvectors of a matrix can be found in different ways. One such approach is related to the Krylov method. Usually,

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eigenvalues of a matrix krylov method

Eigenvalues of a Matrix: Krylov Method Algorithm

08/06/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

Eigenvalues of a matrix can be found in different ways. One of these ways is the Krylov method. It is

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eigenvectors of a matrix danilevsky method

Eigenvectors of a Matrix: Computing Them Using the Danilevsky Method

01/06/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

The Danilevsky method allows us to find the eigenvectors of a matrix after the eigenvalues have already been found. This

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eigenvalues of a matrix danilevsky method

Eigenvalues of a Matrix: Danilevsky Method Step by Step

25/05/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

The Danilevsky method is a convenient way to find the eigenvalues of a matrix by constructing its characteristic polynomial. Its

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eigenvalues and eigenvectors of a matrix

Eigenvalues and Eigenvectors of a Matrix: The Characteristic Determinant Method

19/05/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

In numerical methods, eigenvalues and eigenvectors of a matrix help us understand how a square matrix acts on vectors. This

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gradient descent method

Gradient Descent Method: How to Reduce a Function Value Step by Step

11/05/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The gradient descent method is one of the basic numerical methods used to find the minimum of a function of

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coordinate descent method

Coordinate Descent Method: From Theory to a Practical Example

04/05/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The coordinate descent method is one of those numerical methods that are convenient to study gradually, step by step. Why

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Fundamentals of Matrix Algebra
  • Numerical Integration and Differentiation
  • Numerical Methods for Solving Single-Variable Equations
  • Solving Ordinary Differential Equations
  • Solving Systems of Linear Equations

Geometry

  • Area and Perimeter
  • Circle
  • Polygons
  • Solid Geometric Shapes
  • Surface Area and Volume of Geometric Shapes
  • Triangles

Mathematics

  • Derivative and Differential
  • Fractions
  • Function Research
  • Integral Calculus
  • Logarithmic equations
  • Quadratic equations

Python Programming Language

  • Basic Syntax
  • Conditional Statements
  • Introduction to Python
  • Loops

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