Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Inner-gMP and gMP-inner inverses
View through CrossRef
Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and *gMP inverse, we define the inner-*gMP and *gMP-inner inverses which are new extensions of 1MP, MP1 and *gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-*gMP and *gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.
Hacettepe University
Title: Inner-gMP and gMP-inner inverses
Description:
Solving some systems of operator equations, new kinds of generalized inverses are introduced.
Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses.
In this way, the concepts of gMP, 1MP and MP1 inverses are generalized.
Various representations and characterizations of inner-gMP and gMP-inner inverses are presented.
Using the inner and *gMP inverse, we define the inner-*gMP and *gMP-inner inverses which are new extensions of 1MP, MP1 and *gMP inverses.
We apply inner-gMP and gMP-inner inverses as well as inner-*gMP and *gMP-inner inverses to solve several kinds of linear equations.
Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution.
Numerical examples are given to illustrate our results.
Related Results
Optogenetic Manipulation of Cyclic Di-GMP (c-di-GMP) Levels Reveals the Role of c-di-GMP in Regulating Aerotaxis Receptor Activity in Azospirillum brasilense
Optogenetic Manipulation of Cyclic Di-GMP (c-di-GMP) Levels Reveals the Role of c-di-GMP in Regulating Aerotaxis Receptor Activity in Azospirillum brasilense
ABSTRACT
Bacterial chemotaxis receptors provide the sensory inputs that inform the direction of navigation in changing environments. Recently, we described t...
Effects of magnesium on cyclic GMP hydrolysis by the bovine retinal rod cyclic GMP phosphodiesterase
Effects of magnesium on cyclic GMP hydrolysis by the bovine retinal rod cyclic GMP phosphodiesterase
Knowledge of the kinetics of the rod cyclic GMP phosphodiesterase is essential for understanding the kinetics and gain of the light response. Therefore, the interactions between Mg...
Ligand-Mediated Biofilm Formation via Enhanced Physical Interaction Between a Diguanylate Cyclase and Its Receptor
Ligand-Mediated Biofilm Formation via Enhanced Physical Interaction Between a Diguanylate Cyclase and Its Receptor
Abstract
The second messenger, cyclic dimeric GMP (c-di-GMP) regulates biofilm formation for many bacteria. The binding of c-d¡-GMP by the inner-...
When Does a Dual Matrix Have a Dual Generalized Inverse?
When Does a Dual Matrix Have a Dual Generalized Inverse?
This paper deals with the existence of various types of dual generalized inverses of dual matrices. New and foundational results on the necessary and sufficient conditions for vari...
Pharmaceutical Industry in Uganda: A Review of the Common GMP Non-conformances during Regulatory Inspections
Pharmaceutical Industry in Uganda: A Review of the Common GMP Non-conformances during Regulatory Inspections
The prevalence of substandard medicines in Africa is high but not well documented. Low and Middle-Income Countries (LMICs) are likely to face considerable challenges with substanda...
Improving the Outcome of GMP Inspections by Improving Proficiency of Inspectors through Consistent GMP Trainings
Improving the Outcome of GMP Inspections by Improving Proficiency of Inspectors through Consistent GMP Trainings
Approximately 90% of the pharmaceutical inspectors in a pharmacy practice regulatory agency in West Africa have not updated their training on Good Manufacturing Practice (GMP) insp...
Compliance to GMP guidelines for Herbal Manufacturers in East Africa: A Position Paper
Compliance to GMP guidelines for Herbal Manufacturers in East Africa: A Position Paper
With the global increase in the use of traditional and complementary remedies for the prevention and treatment of illness, the quality and safety of these medicines have become a s...
PROTAC GMP Services v1
PROTAC GMP Services v1
BOC Sciences’ GMP production sites were designed in strict accordance to US-FDA guidelines for GMP Manufacturing. It has passed US-FDA inspections. We provide standard QC tests bef...