Ominaisarvomenetelmiä
Ominaisarvomenetelmiä, often translated as eigenvalue methods, are a class of numerical algorithms used to compute eigenvalues and eigenvectors of a matrix. These methods are fundamental in various fields of science and engineering, including quantum mechanics, structural analysis, and data analysis. The core idea is to find scalar values, known as eigenvalues, and corresponding non-zero vectors, known as eigenvectors, that satisfy the equation Av = λv, where A is a square matrix, v is a non-zero vector, and λ is a scalar.
Commonly used eigenvalue methods include the power iteration, the inverse iteration, and the QR algorithm. The
The choice of method depends on the specific problem, including the size and properties of the matrix,