The concepts of off-diagonalizing vectors, matrix amplitude, which is given in terms of the eigenvalues, and partially complementary matrices are introduced. This leads to a geometrical interpretation ...

Matrix diagonalization (or termed, matrix eigen-decomposition) is a vital part of matrix theory. Different from static matrix diagonalization problem, in this paper, the more challenging problem, i.e.

This is a simple C++ program for computing the eigenvalues and eigenvectors of any square matrix using the LAPACK library. Diagonalization is handled by the "diagonalization" class, which is defined ...

The project applied a recently developed exact diagonalization method which allows precise calculations of up to a trillion matrix elements, but requires large scale high performance computing.

To design this type of filter bank, we adopted a family of iterative algorithms i) Sequential matrix diagonalization (SMD) ii) Maximum element sequential matrix diagonalization (ME-SMD). The potential ...

Mark Lotkin, The Diagonalization of Certain Normal Matrices, The American Mathematical Monthly, Vol. 67, No. 9 (Nov., 1960), pp. 861-865 ...

To verify our analytical solution in equation (79), once again we compare it with the brute-force diagonalization of the finite matrix representation of the Hamiltonian.

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