Diagnosis and Instrument of the Financial Analysis

Considering the general point of view, the concept of diagnosis has assumed the identification of disfunctionalities specific to its activities, as well as the analysis of facts and responsibilities, identification of causes and measurements that have to lead towards the improvement of the economical-financial situation.Of the same mind, other specialists in the field have been aware of this, and whom opinion is summarized to the fact that analysis of a diagnosis has assumed the localization of symptoms, of disfunctionalities related to a company, the research and analysis of facts and responsibilities, identification of causes specific to disfunctionalities, the elaboration of certain programs of activity, where the recovery or amelioration of performances is being assured by using their practical applying.As a matter of fact, performing a company’s diagnosis can be motivated not only by the situation where this shows difficulties, or disfunctionalities respectively, but also when an enterprise proves a health state, but wishes its improvement.global diagnosis, financial diagnosis, financial analysis, enterprise

Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm

Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality holds (log y1)^2 + (log y2)^2 + (log y3)^2 >= (log a1)^2 + (log a2)^2 + (log a3)^2. This can also be stated in terms of real positive definite 3x3-matrices P1, P2: If their determinants are equal det P1 = det P2, then tr P1 >= tr P2 and tr Cof P1 >= tr Cof P2 implies norm(log P1) >= norm(log P2), where log is the principal matrix logarithm and norm(P) denotes the Frobenius matrix norm. Applications in matrix analysis and nonlinear elasticity are indicated