Results 41 to 50 of about 22,900 (243)
Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
doaj +1 more source
Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
In this paper, we deal mainly with a class of periodic tridiagonal Toeplitz matrices with perturbed corners. By matrix decomposition with the Sherman–Morrison–Woodbury formula and constructing the corresponding displacement of matrices we derive the ...
Yunlan Wei +3 more
doaj +1 more source
Inversion of Jacobi's tridiagonal matrix
Explicit formulae are given for the elements of the inverse of a tridiagonal matrix (symmetric or not). The expressions contain elements of the original matrix, determinants of its principal minors and a related sequence of quantities defined inductively from the elements of the original matrix.
openaire +2 more sources
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley +1 more source
ClimaLand: A Land Surface Model Designed to Enable Data‐Driven Parameterizations
Abstract Land surface models (LSMs) are essential tools for simulating the coupled climate system, representing the dynamics of water, energy, and carbon fluxes on land and their interaction with the atmosphere. However, parameterizing sub‐grid processes at the scales relevant to climate models (∼ ${\sim} $10–100 km) remains a considerable challenge ...
Katherine Deck +21 more
wiley +1 more source
Co-operatives as an Aid to Small Business in Germany [PDF]
Tridiagonal parametrizations of linear state-space models are proposed for multivariable system identification. The parametrizations are surjective, i.e. all systems up to a given order can be described.
Fassnacht, Bertel, Weisser, Gerhard
core +1 more source
Matrix methods for Pad\'e approximation: numerical calculation of poles, zeros and residues
A representation of the Pad\'e approximation of the $Z$-transform of a signal as a resolvent of a tridiagonal matrix $J$ is given. Several formulas for the poles, zeros and residues of the Pad\'e approximation in terms of the matrix $J$ are proposed ...
Perotti, Luca, Wojtylak, Michal
core +1 more source
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
The Darboux transformation and the complex Toda lattice [PDF]
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J(t). Under certain restrictions, it is possible to obtain some new solution by using the Darboux transformation of J(t) ¡ CI. Our goal is the extension of
Barrios Rolania, Maria Dolores +2 more
core +1 more source
Nucleon-nucleon interaction in the $J$-matrix inverse scattering approach and few-nucleon systems
The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in the oscillator
A. I. Baz +47 more
core +1 more source

