- LinearEquationsSolution
- LinearEquationsSolutionSy
- LinearEquationsSolutionComplexSy
- LinearEquationsSolutionSyPD
- LinearEquationsSolutionGeTri
- LinearEquationsSolutionSyTriPD
Linear Equations
Раздел предназначен для решения систем линейных уравнений вида A·X = B, где A — квадратная матрица коэффициентов, B — правая часть, а X — искомая матрица или вектор решений. Методы поддерживают различные типы данных: double, float, complex, complexf, и предоставляют реализацию на основе LAPACK-функций, обеспечивая высокую точность и производительность.
Функции разделены по типу матрицы A. Каждая функция имеет перегрузки для матричного и векторного представления правой части (B) и результата (X).
Function |
Action |
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Computes the solution to the system of linear equations with a square coefficient matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n general matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack function GESV. |
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Computes the solution to the system of linear equations with a symmetric or Hermitian conjugated matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n symmetric or unitary matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack functions SYSV, HESV. |
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Computes the solution to the system of linear equations with a complex symmetric (not Hermitian conjugated!) matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n complex symmetric matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack function SYSV. |
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Computes the solution to the system of linear equations with a symmetric or Hermitian conjugated positive-definite matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n symmetric or unitary positive-definite matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack function POSV. |
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Computes the solution to the system of linear equations with a general (nonsymmetric) tridiagonal coefficient matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n general tridiagonal matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack function GESV. |
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Computes the solution to the system of linear equations with a symmetric tridiagonal positive-definite coefficient matrix A and multiple right-hand sides. A*X = B, where A is an n-by-n symmetric tridiagonal matrix, the columns of matrix B are individual right-hand sides, and the columns of X are the corresponding solutions. Lapack function GESV. |