matlab的矩陣左除（A B）是如何實現的？

1樓：Vurgit Young

超正定方程指的是A的列數比行數少嗎？這種情況下matlab會用最小二乘法算出乙個盡可能使得AX - B 為0的乙個X作為解，相當於lsqlin()。如果A是方陣，那基本上和inv沒有區別，但是據說數值穩定性更好。

2樓：

In the left division, the solution X is obtained numerically with a method that is based on Gauss elimination.

3樓：慧航

善用help:The mldivide AlgorithmThe mldivide operator employs different algorithms to handle different kinds of coefficient matrices. The various cases are diagnosed automatically by examining the coefficient matrix.

Permutations of Triangular Matrices

mldivide checks for triangularity by testing for zero elements. If a matrix A is triangular, MATLAB software uses a substitution to compute the solution vector x. If A is a permutation of a triangular matrix, MATLAB software uses a permuted substitution algorithm.

Square Matrices

If A is symmetric and has real, positive diagonal elements, MATLAB attemptsa Cholesky factorization. If the Cholesky factorization fails, MATLAB performsa symmetric, indefinite factorization. If A is upper Hessenberg, MATLAB uses Gaussian elimination to reduce the system to a triangular matrix.

If A is square but is neither permuted triangular, symmetric and positive definite, or Hessenberg, then MATLAB performs a general triangular factorization using LU factorization with partial pivoting (see lu).

Rectangular Matrices

If A is rectangular, mldivide returns a least-squares solution. MATLAB solves overdetermined systems with QR factorization (see qr). For an underdetermined system, MATLAB returns the solution with the maximum number of zero elements.

matlab的矩陣左除（A B）是如何實現的？

MATLAB中的遺傳演算法如何實現

證明如果A,B是兩個同階的非零矩陣,且AB O,則det A 0且det B 0？

APEC 藍是如何實現的？

其他用戶還看了：

matlab的矩陣左除（A B）是如何實現的？

MATLAB中的遺傳演算法如何實現

證明如果A,B是兩個同階的非零矩陣,且AB O,則det A 0且det B 0？

APEC 藍 是如何實現的？

其他用戶還看了：

APEC 藍是如何實現的？