Results 211 to 220 of about 42,254 (264)

P-Invertibility of matrices and operators

Letters in Mathematical Physics, 1991
Let \(H\) be a complex Hilbert space with inner product \(\langle,\rangle\). Let \(P\) be an orthogonal projection. An operator \(A\) on \(H\) is said to be \(P\)-invertible if and only if there exists an operator \(B\) on \(H\) with the property: \(PAPB=BPAP=P\).
Grubb, A., Sharma, C. S.
openaire   +2 more sources

Graphical operation of vectors and matrices

Applied Mathematics and Computation, 2004
It is usually a big trouble and disadvantage for us to do the operation of vectors and matrices, for example, the inner or outer product of vectors and the multiplication of matrices or the transformation of vectors and matrices, especially the inverse transformation of matrices.
Tzong-Mou Wu, Cha'o-Kuang Chen
openaire   +1 more source

Operations on Interval Matrices

2007
We consider algebraic properties of interval matrices. Operations on interval matrices are strictly connected with interval-valued fuzzy sets. We examine lattice and semigroup properties of interval matrices. Next, we discuss asymptotic properties in semigroup of powers. In particular, a convergence of power sequence is examined.
openaire   +1 more source

Contractive completions of operator matrices

SUT Journal of Mathematics (Formerly TRU Mathematics), 1991
Let \([{{} \atop B}{A \atop C}]\) be an incomplete operator matrix whose entries are operators between Hilbert spaces. The original Parrott theorem gives a necessary and sufficient condition \((\|{A \brack C}\|,\|[B C]\|\leq 1)\) for the existence of an operator \(X\) such that \({{X A} \brack {B C}}\) is a contraction.
KIDERA, TORU, MIYAJIMA, SHIZUO
openaire   +2 more sources

Matrices, differential operators, and polynomials

Journal of Mathematical Physics, 1981
It is noted that the matrix Z, of order n, defined in terms of the n arbitrary numbers xj by the formula Zjk = δjk 𝒥′l = 1,η (xj−xl)−1 +(1−δjk)(xj−xk)−1, may be considered (in an appropriate framework) to correspond to the differential operator d/dx. There follow prescriptions to construct explicit matrices of (arbitrary) order n in terms of n (or more)
openaire   +3 more sources

On Unimodular Matrices of Difference Operators

2018
We consider matrices \(L \in \mathrm{Mat} _n(K[\sigma , \sigma ^{-1}])\) of scalar difference operators, where K is a difference field of characteristic 0 with an automorphism \(\sigma \). We discuss approaches to compute the dimension of the space of those solutions of the system of equations \(L(y)=0\) that belong to an adequate extension of K.
Sergei A. Abramov, Denis E. Khmelnov
openaire   +1 more source

On C-Normal Operator Matrices

Results in Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eungil Ko, Ji Eun Lee, Mee-Jung Lee
openaire   +2 more sources

Operations with Matrices

2011
Matrix, matrices... how many times have we used these words. It probably won’t surprise you that we will continue to use those words frequently. The matrix is one of the most useful mathematical objects we have at our disposal, a basic tool for those who use mathematics.
openaire   +1 more source

Numerical Radii of Operator Sums and Operator Matrices

Complex Analysis and Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sababheh, Mohammad, Moradi, Hamid Reza, Sahoo, Satyajit   +2 more
openaire   +2 more sources

Linear Operations on Matrices

The American Mathematical Monthly, 1962
(1962). Linear Operations on Matrices. The American Mathematical Monthly: Vol. 69, No. 9, pp. 837-847.
openaire   +1 more source