complex symmetric matrix diagonalizable
Is every complex symmetric (NOT unitary) matrix M diagonalizable in the form U^T M U, where U is a unitary matrix? Why? ,We describe a matrix diagonalization algorithm for complex symmetric (not Hermitian) matrices, A ̲ = A ̲ T , which is based on a two-step algorithm involving ... ,At any rate, a complex symmetric matrix M is diagonalizable if and only if its eigenvector matrix A can be chosen so that ATMA=D and ATA=I, where D is the ... ,Abstract. We present a new fast and efficient algorithm for computing the eigenvalues and eigenvectors of large-size nondefective complex symmetric matrices. , TakeA=(00i001i10). Its characteristic polynomial is −x3 and therefore, if it was diagonalizable, it would be the null matrix. But it isn't. Therefore ..., The complex symmetric matrix (1ii−1). is not diagonalizable, because trace and determinant are zero, but the matrix is not zero. Now try the ...,(1ii−1). How did I find this? Non-diagonalizable means that there is some Jordan block of size greater than 1. I decided to hunt for something with Jordan form ... ,Complex symmetry is a purely algebraic property, and it has no effect on the spectrum of the ... A complex symmetric matrix may not even be diagonalizable. ,
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 complex symmetric matrix diagonalizable 相關參考資料
Diagonalization of complex symmetric matrices | Physics Forums
Is every complex symmetric (NOT unitary) matrix M diagonalizable in the form U^T M U, where U is a unitary matrix? Why? https://www.physicsforums.com Diagonalization of complex symmetric matrices: Generalized ...
We describe a matrix diagonalization algorithm for complex symmetric (not Hermitian) matrices, A ̲ = A ̲ T , which is based on a two-step algorithm involving ... https://www.sciencedirect.com Diagonalizing a Complex Symmetric Matrix - MathOverflow
At any rate, a complex symmetric matrix M is diagonalizable if and only if its eigenvector matrix A can be chosen so that ATMA=D and ATA=I, where D is the ... https://mathoverflow.net FAST DIAGONALIZATION OF LARGE AND DENSE ...
Abstract. We present a new fast and efficient algorithm for computing the eigenvalues and eigenvectors of large-size nondefective complex symmetric matrices. https://pdfs.semanticscholar.o linear algebra - Is a complex symmetric square matrix with zero ...
TakeA=(00i001i10). Its characteristic polynomial is −x3 and therefore, if it was diagonalizable, it would be the null matrix. But it isn't. Therefore ... https://math.stackexchange.com linear algebra - Why a complex symmetric matrix is not ...
The complex symmetric matrix (1ii−1). is not diagonalizable, because trace and determinant are zero, but the matrix is not zero. Now try the ... https://math.stackexchange.com Non-diagonalizable complex symmetric matrix - MathOverflow
(1ii−1). How did I find this? Non-diagonalizable means that there is some Jordan block of size greater than 1. I decided to hunt for something with Jordan form ... https://mathoverflow.net Properties of Complex Symmetric Matrices - The Netlib
Complex symmetry is a purely algebraic property, and it has no effect on the spectrum of the ... A complex symmetric matrix may not even be diagonalizable. http://www.netlib.org What condition gives a complex symmetric matrix ...
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