4 papers
A Polynomial Description of the Rijndael Advanced Encryption Standard
Joachim Rosenthal
The paper gives a polynomial description of the Rijndael Advanced Encryption Standard recently adopted by the National Institute of Standards and Technology. Special attention is g…
Output Feedback Invariants
M. S. Ravi, Joachim Rosenthal, Uwe Helmke
The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a…
The Multiplicative Inverse Eigenvalue Problem over an Algebraically Closed Field
Joachim Rosenthal, Xiaochang Wang
Let be a square matrix and let be a monic polynomial of degree . Let be a set of matrices. The multiplicative inverse eigenvalue problem asks for the…
Zero Assignment, Pole Placement and Matrix Extension Problems: A Common Point of View
Meeyoung Kim, Joachim Rosenthal, Xiaochang Alex Wang
The paper studies a general inverse eigenvalue problem which contains as special cases many well studied pole placement and matrix extension problems. It is shown that the studied…