singular values

There are two types of singular values, one in the context of elliptic integrals, and the other in linear algebra. For a square matrix A, the square roots of the eigenvalues of A^H A, where A^H is the conjugate transpose, are called singular values. The so-called singular value decomposition of a complex matrix A is given by A = U D V^H, where U and V are unitary matrices and D is a diagonal matrix whose elements are the singular values of A (Golub and Van Loan 1996, pp. 70 and 73). Singular values are returned by the command SingularValueList[m].

elliptic integral of the first kind | elliptic integral singular value | elliptic lambda function | elliptic modulus | singular value decomposition