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New norm and numerical radius bounds for accretive-dissipative operator matrices / Sababheh, Mohammad (CC BY)

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Title:
Special matrices
Publication:
Warsaw: ˜Deœ Gruyter, Versita
Note:
Gesehen am 23.01.14
Open Access
Namensnennung 4.0 International
Scope:
Online-Ressource
ISSN:
2300-7451
ZDB-ID:
2753755-9 ZDB
VÖBB-Katalog:
35278167
Keywords:
Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Free Access
Title:
Special matrices
Publication:
Warsaw: ˜Deœ Gruyter, Versita
Note:
Gesehen am 23.01.14
Open Access
Namensnennung 4.0 International
Scope:
Online-Ressource
ISSN:
2300-7451
ZDB-ID:
2753755-9 ZDB
VÖBB-Katalog:
35278167
Keywords:
Zeitschrift
Classification:
Mathematik
Collection:
Mathematik
Copyright:
Rights reserved
Accessibility:
Free Access

Article

Author:
Sababheh, Mohammad
Moradi, Hamid Reza
Title:
New norm and numerical radius bounds for accretive-dissipative operator matrices
Publication:
Warsaw: ˜Deœ Gruyter, Versita, 2026
Language:
English
Information:
Abstract: In operator and matrix theory, obtaining sharper bounds for quantities such as the operator norm and the numerical radius is of central importance. The main goal of this paper is to present new novel bounds that work for the norm and numerical radius of accretive–dissipative operator matrices, with particular emphasis on the interaction between diagonal and off-diagonal blocks. The obtained results are compared with the existing literature, showing that the new bounds provide better estimates than some known results.
Scope:
Online-Ressource
Note:
Open Access
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
numerical radius ; operator matrix ; accretive-dissipative ; positive operator ; Primary 47A12 ; 47A30 ; Secondary 15A60 ; 47B15
Classification:
Mathematik
URN:
urn:nbn:de:101:1-2608120337565.928439092915
Collection:
Mathematik
Copyright:
CC BY
Accessibility:
Free Access
Author:
Sababheh, Mohammad
Moradi, Hamid Reza
Title:
New norm and numerical radius bounds for accretive-dissipative operator matrices
Publication:
Warsaw: ˜Deœ Gruyter, Versita, 2026
Language:
English
Information:
Abstract: In operator and matrix theory, obtaining sharper bounds for quantities such as the operator norm and the numerical radius is of central importance. The main goal of this paper is to present new novel bounds that work for the norm and numerical radius of accretive–dissipative operator matrices, with particular emphasis on the interaction between diagonal and off-diagonal blocks. The obtained results are compared with the existing literature, showing that the new bounds provide better estimates than some known results.
Scope:
Online-Ressource
Note:
Open Access
Archivierung/Langzeitarchivierung gewährleistet
Keywords:
numerical radius ; operator matrix ; accretive-dissipative ; positive operator ; Primary 47A12 ; 47A30 ; Secondary 15A60 ; 47B15
Classification:
Mathematik
URN:
urn:nbn:de:101:1-2608120337565.928439092915
Collection:
Mathematik
Copyright:
CC BY
Accessibility:
Free Access

Contents

Table of contents

  • Special matrices (Rights reserved)
  • Linear maps preserving the Cullis’ determinant. III / Guterman, Alexander (CC BY)
  • When does a matrix have a square root or a log? / Withers, Christopher S. (CC BY)
  • On the enumeration of symmetric tridiagonal matrices with prescribed determinant over commutative finite chain rings / Martinez-Moro, Edgar (CC BY)
  • Algebraic and metric structures of the geometric mean cone / Alzalg, Baha (CC BY)
  • New norm and numerical radius bounds for accretive-dissipative operator matrices / Sababheh, Mohammad (CC BY)
  • Characterization of real matrices A such that p (X) = A admits a real matrix solution for every nonconstant real polynomial p / Zhu, Chengyi (CC BY)
  • Distribution eigenvalues and temperature index of graphs / Oboudi, Mohammad Reza (CC BY)
  • 1-Sylvester matrices / Călugăreanu, Grigore (CC BY)
  • Lower and upper bounds for the eigenvalues of a pentadiagonal matrix arising in the Hodrick-Prescott filter / Yamada, Hiroshi (CC BY)
  • Universal realizability of left half-plane spectra / Soto, Ricardo L. (CC BY)
  • What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion / Estrada, Ernesto (CC BY)
  • ˜Theœ Jordan form of a triangular matrix / Withers, Christopher S. (CC BY)
  • Test matrices with specified eigenpairs for the symmetric positive definite generalized eigenvalue problem / Ozaki, Katsuhisa (CC BY)
  • A matrix variate inverse Lomax distribution / Nagar, Daya K. (CC BY)
  • Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal / Einollahzadeh, Mostafa (CC BY)
  • Block diagonalization of (p, q)-tridiagonal matrices / Manjunath, Hariprasad (CC BY)
  • A cospectral construction for the generalized distance matrix / Friesen, Ori (CC BY)
  • Spectral deviations of graphs / Stanić, Zoran (CC BY)
  • Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part / Kurmanbek, Bakytzhan (CC BY)
  • Unit group of the ring of negacirculant matrices over finite commutative chain rings / Naksing, Prarinya (CC BY)
  • On the permutation polytopes of some cyclic groups / Chen, Zhi (CC BY)
  • Matrices having a positive determinant and all other minors nonpositive / Hassuneh, Imad (CC BY)
  • On the maximal A a -index of graphs with a prescribed number of edges / Chang, Ting-Chung (CC BY)
  • Some results involving the A α -eigenvalues for graphs and line graphs / da Silva Júnior, João Domingos G. (CC BY)
  • Variations in the sub-defect of doubly substochastic matrices / Cao, Lei (CC BY)
  • Singular matrices possessing the triangle property / Priya, K. Kranthi (CC BY)
  • Computing the matrix exponential with the double exponential formula / Tatsuoka, Fuminori (CC BY)
  • ˜Theœ perturbation of Drazin inverse and dual Drazin inverse / Wang, Hongxing (CC BY)
  • Idempotents which are products of two nilpotents / Călugăreanu, Grigore (CC BY)
  • Complex Palais matrix and a new unitary transform with bounded component norms / Kudo, Shuhei (CC BY)
  • On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications / Kaddoura, Issam (CC BY)
  • Two-unitary complex Hadamard matrices of order 36 / Bruzda, Wojciech (CC BY)
  • Selected open problems in continuous-time quantum walks / Coutinho, Gabriel (CC BY)
  • Note on the product of the largest and the smallest eigenvalue of a graph / Abiad, Aida (CC BY)
  • Four-point condition matrices of edge-weighted trees / Azimi, Ali (CC BY)
  • Matrix equation representation of the convolution equation and its unique solvability / Satake, Yuki (CC BY)
  • Signed graphs with strong (anti-) reciprocal eigenvalue property / Belardo, Francesco (CC BY)
  • New constructions of nonregular cospectral graphs / Hamud, Suleiman (CC BY)
  • A linear algorithm for obtaining the Laplacian eigenvalues of a cograph / Chen, Guantao (CC BY)
  • Editorial Note for the Special Issue in honor of Frank J. Hall / Li, Zhongshan (CC BY)
  • On the spectrum of tridiagonal matrices with two-periodic main diagonal / Dyachenko, Alexander (CC BY)
  • A Laplacian eigenbasis for threshold graphs / Macharete, Rafael R. (CC BY)
  • Graphs whose Laplacian eigenvalues are almost all 1 or 2 / Mohammadian, Ali (CC BY)
  • Refined inertias of positive and hollow positive patterns / Berliner, Adam H. (CC BY)
  • ˜Theœ diameter of the Birkhoff polytope / Bouthat, Ludovick (CC BY)
  • γ -Inverse graph of some mixed graphs / Boulahmar, Wafa (CC BY)
  • On the minimum spectral radius of connected graphs of given order and size / Cioaba, Sebastian M. (CC BY)
  • Lih Wang's and Dittert's conjectures on permanents / Udayan, Divya K. (CC BY)
  • Eigenpairs of adjacency matrices of balanced signed graphs / Chen, Mei-Qin (CC BY)
  • On the Harary Estrada index of graphs / Oboudi, Mohammad Reza (CC BY)
  • On the spectral norm of a doubly stochastic matrix and level- k circulant matrix / Jiang, Zhao-Lin (CC BY)
  • On the Laplacian index of tadpole graphs / Braga, Rodrigo O. (CC BY)
  • ˜Theœ minimum exponential atom-bond connectivity energy of trees / Gao, Wei (CC BY)
  • Eigenvalues of complex unit gain graphs and gain regularity / Brunetti, Maurizio (CC BY)
  • Nonvanishing minors of eigenvector matrices and consequences / Emmrich, Tarek (CC BY)
  • A generalization of the Graham-Pollak tree theorem to even-order Steiner distance / Cooper, Joshua (CC BY)
  • Editorial to Special issue “Workshop on Spectral Graph Theory 2023 – In honor of Prof. Nair Abreu” / Anđelić, Milica (CC BY)
  • Determinants of tridiagonal matrices over some commutative finite chain rings / Jitman, Somphong (CC BY)
  • Disjoint sections of positive semidefinite matrices and their applications in linear statistical models / Eagambaram, N. (CC BY)
  • ˜Theœ smallest singular value anomaly: The reasons behind sharp anomaly / Dax, Achiya (CC BY)

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