A product integral representation of the generalized inverse
A remark on Koszul complexes.
A remark on the Čebyšev property
A strong complement property of Dedekind domains
A survey of certain trace inequalities
This paper concerns inequalities like TrA ≤ TrB, where A and B are certain Hermitian complex matrices and Tr stands for the trace. In most cases A and B will be exponential or logarithmic expressions of some other matrices. Due to the interest of the author in quantum statistical mechanics, the possible applications of the trace inequalities will be commented from time to time. Several inequalities treated below have been established in the context of Hilbert space operators or operator algebras....
A trace inequality for positive definite matrices.
A Unified Extension of Some Results of Thompson, Marcus and Moyls.
A unified treatment of the theories of matroids with coefficients and of -matroids with coefficients.
About a determinant of rectangular matrix and its geometric interpretation.
Advanced determinant calculus.
Algebraic complexity theory. I: An introduction. (Algebraische Komplexitätstheorie. I: Eine Einführung.)
Algebraic complexity theory. II: Tast matrix multiplication and combinatorics. (Algebraische Komplexitätstheorie. II: Schnelle Matrixmultiplikation und Kombinatorik.)
Algebraic complexity theory. III: On the complexity of the computation of permanents. (Algebraische Komplexitätstheorie. III: Zur Berechnungskomplexität von Permanenten.)
Algebraically solvable problems: describing polynomials as equivalent to explicit solutions.
Algorithms for Lambda-Matrices.
Almost commuting unitary elements in purely infinite simple C*-algebras.
Almost product evaluation of Hankel determinants.
An analysis of GCD and LCM matrices via the -factorization.
An explicit factorization of totally positive generalized Vandermonde matrices avoiding Schur functions.
An explicit formula of Hessian determinants of composite functions and its applications