What is he best known for?
The fields of study Israel Gohberg is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date
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.
Israel Gohberg most often published in these fields:
- Pure mathematics (85.53%)
- Algebra over a field (62.89%)
- Mathematical analysis (52.20%)
What were the highlights of his more recent work (between 2004-2012)?
- Pure mathematics (91.67%)
- Algebra over a field (75.00%)
- Quantum mechanics (75.00%)
In recent works Israel Gohberg was focusing on the following fields of study:
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.
Between 2004 and 2012, his most popular works were:
- 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)
In his most recent research, the most cited works focused on:
- 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.
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