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- Israel Gohberg

Mathematics

Israel

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
65
Citations
20,754
604
World Ranking
271
National Ranking
4

2023 - Research.com Mathematics in Israel Leader Award

2022 - Research.com Mathematics in Israel Leader Award

- Eigenvalues and eigenvectors
- Invertible matrix
- Hilbert space

Israel Gohberg works mostly in the field of State space, limiting it down to topics relating to Statistics and, in certain cases, Realization (probability). Vandermonde matrix and Symmetric matrix are the areas that his Eigenvalues and eigenvectors study falls under. Israel Gohberg carries out multidisciplinary research, doing studies in Vandermonde matrix and Eigenvalues and eigenvectors. Many of his studies on Pure mathematics involve topics that are commonly interrelated, such as Canonical form. He frequently studies issues relating to Pure mathematics and Algebra over a field. Israel Gohberg integrates several fields in his works, including Quantum mechanics and Applied mathematics. Israel Gohberg performs multidisciplinary study in Applied mathematics and Statistics in his work. His Mathematical analysis study frequently draws parallels with other fields, such as Linear system. His work blends Geometry and Discrete mathematics studies together.

- On a new class of structured matrices (146 citations)
- Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure (117 citations)
- Complexity of multiplication with vectors for structured matrices (117 citations)

As part of one scientific family, Israel Gohberg deals mainly with the area of Algebra over a field, narrowing it down to issues related to the Pure mathematics, and often Toeplitz matrix and Rational function. His work on Pure mathematics as part of general Toeplitz matrix research is often related to Algebra over a field, thus linking different fields of science. His Mathematical analysis study frequently links to adjacent areas such as Polynomial. His research on Composite material frequently connects to adjacent areas such as Matrix (chemical analysis). His research brings together the fields of Composite material and Matrix (chemical analysis). In his study, he carries out multidisciplinary Applied mathematics and Quantum mechanics research. In his works, Israel Gohberg performs multidisciplinary study on Quantum mechanics and Applied mathematics. Many of his studies involve connections with topics such as Factorization and Algorithm. His study connects Algorithm and Factorization.

- Pure mathematics (85.53%)
- Algebra over a field (62.89%)
- Mathematical analysis (52.20%)

- Pure mathematics (91.67%)
- Algebra over a field (75.00%)
- Quantum mechanics (75.00%)

His work in Theory of computation covers topics such as Algorithm which are related to areas like State (computer science). His study brings together the fields of Algorithm and State (computer science). His biological study deals with issues like Matrix (chemical analysis), which deal with fields such as Composite material. His Matrix (chemical analysis) research extends to the thematically linked field of Composite material. His study looks at the relationship between Property (philosophy) and topics such as Epistemology, which overlap with Simple (philosophy). His research combines Epistemology and Simple (philosophy). His study on Pure mathematics is mostly dedicated to connecting different topics, such as Commutative property. His work on Algebra over a field is being expanded to include thematically relevant topics such as Pure mathematics. He frequently studies issues relating to Jump and Quantum mechanics.

- Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices (45 citations)
- Computations with quasiseparable polynomials and matrices (31 citations)
- Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials (23 citations)

- Polynomial
- Orthogonal polynomials
- Eigenvalues and eigenvectors

Israel Gohberg regularly links together related areas like Rank (graph theory) in his Combinatorics studies. His Pure mathematics study frequently links to adjacent areas such as Algebra over a field. His research is interdisciplinary, bridging the disciplines of Pure mathematics and Algebra over a field. His work often combines Quantum mechanics and Applied mathematics studies. In his works, Israel Gohberg undertakes multidisciplinary study on Applied mathematics and Quantum mechanics. He undertakes multidisciplinary investigations into Eigenvalues and eigenvectors and Tridiagonal matrix in his work. He incorporates Tridiagonal matrix and Eigenvalues and eigenvectors in his studies. His research links Exponential function with Mathematical analysis. His Exponential function study frequently links to related topics such as Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Introduction to the theory of linear nonselfadjoint operators

M. G. Kreĭn;Israel Gohberg.

Published in <b>1969</b> in Providence RI) by American mathematical society **(1969)**

2388 Citations

Classes of Linear Operators

Israel Gohberg;Seymour Goldberg;Marius A. Kaashoek.

**(1990)**

1267 Citations

Convolution Equations and Projection Methods for Their Solution

Israel Gohberg;I. A. Felʹdman.

**(1974)**

961 Citations

Interpolation of Rational Matrix Functions

Joseph A. Ball;Israel Gohberg;Leiba Rodman.

**(1990)**

921 Citations

Minimal Factorization of Matrix and Operator Functions

Harm Bart;Israel Gohberg;M. A. Kaashoek.

**(1979)**

753 Citations

Unbounded Linear Operators

Israel Gohberg;Seymour Goldberg;Marinus A. Kaashoek.

**(1966)**

730 Citations

Theory and applications of Volterra operators in Hilbert space

I. Gohberg;M. Krein.

Translations of Mathematical#N# Monographs **(2004)**

703 Citations

Factorization of Matrix Functions and Singular Integral Operators

Kevin F. Clancey;Israel Gohberg.

**(1980)**

605 Citations

Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space

I. Gohberg;M. Kreĭn.

**(1969)**

443 Citations

Matrices and indefinite scalar products

Peter Lancaster;Israel Gohberg;L. Rodman.

**(1983)**

418 Citations

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