What is the meaning of resolvent?

What is the meaning of resolvent?

Definition of resolvent : a means of solving something (such as an equation)

What is resolvent of an operator?

In linear algebra and operator theory, the resolvent set of a linear operator is a set of complex numbers for which the operator is in some sense “well-behaved”. The resolvent set plays an important role in the resolvent formalism.

What is resolvent analysis?

The resolvent is a linear operator that governs how harmonic forcing inputs are amplified by the linear dynamics of a system and mapped onto harmonic response outputs. Resolvent analysis refers to the inspection of this operator to find the most responsive inputs, their gains and the most receptive outputs.

What is the resolvent matrix?

The resolvent matrix of a matrix A is defined as. RA(s)=(sI−A)−1. R A. ⁢ ⁢ Note: I is the identity matrix.

What is the synonym of solution?

answer, result, resolution, way out, panacea. key, formula, guide, clue, pointer, gloss. explanation, explication, clarification, interpretation, elucidation, exposition.

What is the synonym of resolve?

decide
Some common synonyms of resolve are decide, determine, rule, and settle.

What is resolvent kernel?

[ri′zäl·vənt ′kər·nəl] (mathematics) A function appearing as an integrand in an integral representation for a solution of a linear integral equation which often completely determines the solutions.

What is spectral mapping theorem?

The Spectral Mapping Theorem. Let A be an operator on an n-dimensional real or complex vector space V and let q(x) be any polynomial. Then the spectrum of the polynomial operator q(A) is the image of the spectrum of A under q, i.e., sp(q(A)) = q(sp(A)).

What is state transition matrix in control system?

In control theory, the state-transition matrix is a matrix whose product with the state vector at an initial time gives at a later time. . The state-transition matrix can be used to obtain the general solution of linear dynamical systems.

What is the opposite of solution?

Opposite of a solution to a problem or dilemma. dilemma. conundrum. indecision. predicament.

What’s another name for solutions in math?

What is another word for solution?