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  2. Conjugate gradient method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_gradient_method

    Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite.

  3. Gauss–Seidel method - Wikipedia

    en.wikipedia.org/wiki/Gauss–Seidel_method

    In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a system of linear equations. It is named after the German mathematicians Carl Friedrich Gauss and Philipp Ludwig von Seidel. Though it can be applied to any matrix with non ...

  4. Structural similarity index measure - Wikipedia

    en.wikipedia.org/wiki/Structural_similarity...

    Structural similarity index measure. The structural similarity index measure ( SSIM) is a method for predicting the perceived quality of digital television and cinematic pictures, as well as other kinds of digital images and videos. It is also used for measuring the similarity between two images. The SSIM index is a full reference metric; in ...

  5. Comparison matrix - Wikipedia

    en.wikipedia.org/wiki/Comparison_matrix

    Comparison matrix. In linear algebra, let A = (aij) be a n × n complex matrix. The comparison matrix M(A) = (αij) of complex matrix A is defined as. [1]

  6. Tridiagonal matrix algorithm - Wikipedia

    en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm

    Tridiagonal matrix algorithm. In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas ), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as. where and .

  7. Comparison of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_numerical...

    free view-only version. $50-$250/free v3.0 (academic) Proprietary. Visual language for simulation and Model Based Design. Used in business, science and engineering. Performs complex scalar or matrix based ODE solving with parametric optimization. Has 2D and 3D plotting, 3D animation, and state transition built in.

  8. Alternating-direction implicit method - Wikipedia

    en.wikipedia.org/wiki/Alternating-direction...

    Alternating-direction implicit method. In numerical linear algebra, the alternating-direction implicit (ADI) method is an iterative method used to solve Sylvester matrix equations. It is a popular method for solving the large matrix equations that arise in systems theory and control, [1] and can be formulated to construct solutions in a memory ...

  9. COMPARISON OF MATLAB AND SPSS SOFTWARE IN THE PREDICTION OF ACADEMIC ACHIEVEMENT WITH ARTIFICIAL NEURAL NETWORKS: MODELING FOR ELEMENTARY SCHOOL STUDENTS. Research Article. Mustafa Çevik Karamanoğlu Mehmetbey University. facevik@kmu.edu.trGizem Tabaru-Örnek Karamanoğlu Mehmetbey Universitygizemtabaru@kmu.edu.trMu.