Results 251 to 260 of about 8,210 (289)

The Valence of Abstraction: A Paradox Revisited. [PDF]

J Psycholinguist Res
Iliev R, Smirnova A.
europepmc   +1 more source

On the Unitary Similarity of Matrix Families [PDF]

Mathematical Notes, 2003
The classical Specht criterion for the unitary similarity between two complex n × n matrices is extended to the unitary similarity between two normal matrix sets of cardinality m. This property means that the algebra generated by a set is closed with respect to the conjugate transpose operation.
Yu A Al'Pin, Kh D Ikramov, Al'Pin Yu A
exaly   +5 more sources

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Eigenvalues of the Sum of Matrices from Unitary Similarity Orbits

SIAM Journal on Matrix Analysis and Applications, 2008
For a fixed (complex) matrix \(A\), its unitary similarity orbit is defined as \({\mathcal U}(A)=\{U^*AU: U~\text{unitary}\}\). The Davis-Wielandt (DW) shell of \(A\) is \[ \text{DW}(A)=\{(x^*Ax,x^*A^*Ax), \;x\in{\mathbb C}^n,\;\|x\|=1\}\subset {\mathbb C}\times {\mathbb R} \] which can be considered as an object in \({\mathbb R}^3\).
Chi-Kwong Li, Yiu-Tung Poon, Nung-Sing Sze   +2 more
exaly   +2 more sources

Unitary similarity of entrywise conjugate matrices and unitary decomplexification

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
exaly   +2 more sources

Unitary Similarity Preserving Linear Maps on B(H)

Integral Equations and Operator Theory, 2014
Let \(\mathcal{B(H)}\) be the algebra of all bounded linear operators on a Hilbert space \(\mathcal{H}\). For \(A,B\in \mathcal{B(H)}\) we say that \(A\) and \(B\) are unitarily similar whenever there exists a unitary operator \(U\in \mathcal{B(H)}\) such that \(A=U^{\ast }BU\). In the paper under review, the authors prove the following result.
Tatjana Petek, Ali Taghavi, Taghavi Ali   +2 more
exaly   +3 more sources

Unitary similarity of algebras generated by pairs of orthoprojectors [PDF]

Journal of Mathematical Sciences, 2006
Summary: It is shown that the unitary similarity of two matrix algebras generated by pairs of orthoprojectors \(\{P_1,Q_1\}\) and \(\{P_2,Q_2\}\) can be verified by comparing the traces of \(P_1\), \(Q_1\), and \((P_1 Q_1)^i\), \(i= 1,2,\dots,n\), with those of \(P_2\), \(Q_2\), and \((P_2Q_2)^i\).
Al'pin Y., Ikramov K.
openaire   +5 more sources

Finite algorithms for verifying unitary similarity and unitary congruence for a pair of complex matrices

Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh D Ikramov, Ikramov Kh D
exaly   +3 more sources

Image hiding using unitary similarity transformation

2011 International Conference on Image Information Processing, 2011
A different and efficient method of image hiding is proposed here. It is based on unitary similarity transformation, involving calculation of eigen values and eigen vectors of a matrix and then transforming it into a diagonal matrix. Only secret image needs to be transformed and is then embedded to the cover image. Inverse transformation can be used to
Amit Kaul
exaly   +2 more sources

On the number of unitary similarity classes in a C-S equivalence class: the normal case

Linear Algebra and Its Applications, 2002
A matrix B∈Mn is C-S equivalent to A∈Mn if B is both congruent and similar to A. We study the question of how many unitary similarity classes lie in the C-S equivalence class of a given matrix A.
Susana Furtado
exaly   +2 more sources