منابع مشابه
Matrices that commute with their derivative . On a letter from Schur to Wielandt . † Olga Holtz
We examine when a matrix whose elements are differentiable functions in one variable commutes with its derivative. This problem was discussed in a letter from Issai Schur to Helmut Wielandt written in 1934, which we found in Wielandt’s Nachlass. We present this letter and its translation into English. The topic was rediscovered later and partial results were proved. However, there are many subt...
متن کاملCommutators Which Commute with One Factor
Let A and B be n × n matrices, let C = ABA−1B−1 be the multiplicative commutator of A and B, and assume AC = CA. Olga Taussky (1961) examined the structure of A and B for the case where A and B are unitary. Marcus and Thompson (1966) generalized her results to the case where A and C are assumed normal. We look at this problem for general A, with particular attention to the cases where A is diag...
متن کاملBlock Matrices over Skew Fields
In this paper, we give the existence and the representation of the group inverse for circulant block matrix M = ( A B B A ) (A, B ∈ Kn×n, andA = A, B = B) over skew field . Some relative additive results are also given. Mathematics Subject Classification: 47H09; 47H10
متن کاملDifferentials over Differential Fields
Given an algebraA over a differential fieldK, we study derivations on A that are compatible with the derivation on K. There is a universal object, which is a twisted version of the usual module of differentials, and we establish some of its basic properties. In the context of differential algebraic geometry, one gets a sheaf of these τ -differentials which can be interpreted as certain natural ...
متن کاملInteger Sequences and Matrices Over Finite Fields
In this expository article we collect the integer sequences that count several different types of matrices over finite fields and provide references to the Online Encyclopedia of Integer Sequences (OEIS). Section 1 contains the sequences, their generating functions, and examples. Section 2 contains the proofs of the formulas for the coefficients and the generating functions of those sequences i...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1993
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)90230-l