Abstract: Solving the eigenvalues of matrices is an open problem which is often related to scientific computation. With the increasing of the order of matrices, traditional sequential algorithms are ...

An algebraic procedure for overcoming the multiple degeneracy problem in eigenvalue (root) determination of the characteristic polynomial of 3-fold symmetrical molecular graphs is given. This leads to ...

QR decomposition method is used to find eigenvalues. Matrix-to-Hessenberg matrix reduction to speed up finding eigenvalues. The method of the inverse iterations is realized to find eigenvectors.

I'm interested in ShiftAndInvertReal. Maybe I misunderstood shifts_f, and I saw that shift-invert mode will determine a few minimum eigenvalues if sigma assigned in some books. I'm major in geophysics ...

In reference [1], for large scale nonlinear equations , a new ODE solving method was given. This paper is a continuous work. Here has gradient structure i.e. , is a scalar function. The eigenvalues of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.