Results 61 to 70 of about 2,374 (146)
Changes in signature induced by the Lyapunov mapping LA : X → AX + XAA±
, 1989 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 503-506, 1989.
Tyler Haynes
wiley +1 more source
On $k$-circulant matrices involving the Fibonacci numbers
, 2018 Let k be a nonzero complex number. In this paper we consider a k-circulant matrix whose first row is .F1;F2; : : : ;Fn/, where Fn is the nth Fibonacci number, and investigate the eigenvalues and Euclidean (or Frobenius) norm of that matrix.
Biljana Radicic
semanticscholar +1 more source
Inequalities for certain powers of positive definite matrices
Mathematical Inequalities & Applications, 2019 Let A,B, and X be n× n matrices such that A,B are positive definite and X is Hermitian. If a and b are real numbers such that 0 < a sn (A) and 0 < b sn (B) , then it is shown, among other inequalities, that ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣AX +XBa ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ (1 ...
Fadi Alrimawi, O. Hirzallah, F. Kittaneh
semanticscholar +1 more source
Inequalities for certain powers of several positive definite matrices
Mathematical Inequalities & Applications, 2019 Let Ai, i = 1, ...,m, and X be n×n matrices such that each Ai is positive definite with 0 < ai sn (Ai) and X is Hermitian. Then it is shown that ∣∣∣∣ ∣∣∣∣ ∣∣∣∣ ( m ∑ i=1 A am+1−i i ) X +X ( m ∑ i=1 Ai m+1−i ∣∣∣∣ ∣∣∣∣ ∣∣∣∣ m(1+ l2) |||X ||| , for every ...
Fadi Alrimawi
semanticscholar +1 more source
A Method for Fast Diagonalization of a 2x2 or 3x3 Real Symmetric Matrix [PDF]
, 2015 A method is presented for fast diagonalization of a 2x2 or 3x3 real symmetric matrix, that is determination of its eigenvalues and eigenvectors. The Euler angles of the eigenvectors are computed.
Kronenburg, M. J.
core
Explicit determinantal formula for a class of banded matrices
Open Mathematics, 2020 In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
Amanbek Yerlan +5 more
doaj +1 more source
How to determine the eigenvalues of g-circulant matrices
, 2018 For a given nonnegative integer g, a matrix Cn,g of size n is called g -circulant if Cn,g = [a(r−gs)modn]n−1 r,s=0 . Such matrices arise in wavelet analysis, subdivision algorithms, and more generally when dealing with multigrid/multilevel methods for ...
E. Ngondiep
semanticscholar +1 more source
Further refinements of the Cauchy-Schwarz inequality for matrices [PDF]
, 2014 Let $A, B$ and $X$ be $n\times n$ matrices such that $A, B$ are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration techniques and various refinements of the Hermite--Hadamard inequality ...
Bakherad, Mojtaba
core
New iterative codes for 𝓗-tensors and an application
Open Mathematics, 2016 New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given.
Wang Feng, Sun Deshu
doaj +1 more source
Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse
, 2013 In this paper, some new inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse are given. These inequalities are sharper than the well-known results.
G. Cheng, Qin Tan, Zhuan-De Wang
semanticscholar +1 more source