Some observations on the Youla form and conjugate-normal matrices

Smith Normal Form and acyclic matrices

An approach, based on the Smith Normal Form, is introduced to study the spectra of symmetric matrices with a given graph. The approach serves well to explain how the path cover number (resp. diameter of a tree T ) is related to the maximal multiplicity MaxMult(T ) occurring for an eigenvalue of a symmetric matrix whose graph is T (resp. the minimal number q(T ) of distinct eigenvalues over the ...

On Positive Matrices Which Have a Positive Smith Normal Form

It is known that any symmetric matrix M with entries in R[x] and which is positive semi-definite for any substitution of x ∈ R, has a Smith normal form whose diagonal coefficients are constant sign polynomials in R[x]. We generalize this result by considering a symmetric matrix M with entries in a formally real principal domain A, we assume that M is positive semi-definite for any ordering on A...

Some observations on the feeding of the guinea pig

study the effects of low level laser diode on no production and healing of diabetic and cortisone acetate and normal wounded sd rats

nitric oxide (no) is a small molecule synthesized by most of mammalian cells with diverse biological activities including vasodilatation, host defense and wound healing. impaired wound healing is a common occurrence among diabetics and patients receiving glucocorticoid therapy. on the other hand the application of laser in biomedical area have been increased. thus, the current studies were desi...

On some geometry and equivalence classes of normal form games

Equivalence classes of normal form games are de ned using the discontinuities of correspondences of standard equilibrium concepts like correlated Nash and robust equilibrium or risk dominance and rationalizability Resulting equivalence classes are fully character ized and compared across di erent equilibrium concepts for games larger games are also considered It is argued that the proce dure le...