complex symmetric matrix diagonalizable

We describe a matrix diagonalization algorithm for complex symmetric (not Hermitian) matrices, A ̲ = A ̲ T , which is ba...

complex symmetric matrix diagonalizable

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 ...

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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 ...

https://www.researchgate.net