Results 71 to 80 of about 1,655,330 (212)
A Test Matrix for an Inverse Eigenvalue Problem
We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2.
G. M. L. Gladwell +2 more
doaj +1 more source
High Relative Accuracy Computations With Covariance Matrices of Order Statistics
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz +3 more
wiley +1 more source
On an infinite family of unipotent Sylvester–Kac-like matrices [PDF]
Classical Sylvester-Kac matrices are tridiagonal integral matrices with positive off-diagonal entries and fully integral spectra. Here, by relaxing the positivity requirement and using a lower Pascal triangle framework, we define, for each positive ...
Zhibin Du, Carlos M. da Fonseca
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ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids ( TiO2–water and Cu–water) flow over a vertical moving permeable plate. The model integrates thermal source, chemical reactions, porous resistance, and thermal radiation. The water‐based nanofluids mixing
B. Prabhakar Reddy +2 more
wiley +1 more source
Determinants of block tridiagonal matrices [PDF]
An identity is proven that evaluates the determinant of a block tridiagonal matrix with (or without) corners as the determinant of the associated transfer matrix (or a submatrix of it)
L.G. Molinari
core +1 more source
Eigenvalues and eigenvectors of a certain complex tridiagonal matrix family
In this paper, we obtain the eigenvalues and eigenvectors of a certaincomplex tridiagonal matrix family in terms of the Chebyshev polynomials of the first ...
Akbulak, Mehmet, Öteleşan, Ahmet
core +1 more source
New norm equalities and inequalities for operator matrices
We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
doaj +1 more source
Inequalities on the elements of the inverse of a certain tridiagonal matrix
Inequalities are obtained for the elements in the inverse of a tridiagonal matrix with positive off-diagonal elements.
D. Kershaw
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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries.
Gusein Sh. Guseinov
doaj +1 more source
A note on the eigenvalue free intervals of some classes of signed threshold graphs
We consider a particular class of signed threshold graphs and their eigenvalues. If Ġ is such a threshold graph and Q(Ġ ) is a quotient matrix that arises from the equitable partition of Ġ , then we use a sequence of elementary matrix operations to prove
Anđelić Milica +2 more
doaj +1 more source

