iterative method for

USAGE SUMMARY

The phrase "iterative method for" is correct and usable in written English.
You can use it when discussing a process or technique that involves repetition or refinement in problem-solving or analysis. Example: "The iterative method for solving complex equations allows researchers to gradually improve their results through successive approximations."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

A fourth-order iterative method for quadratic equations is presented.

Journal of Computational and Applied Mathematics

This modification problem requires an iterative method for its solution.

Journal of Sound and Vibration

Third, make a discussion about the convergence of the new iterative method for root.Forth, introduce the calculation steps of the new iterative method for root.

Procedia Engineering

Second, make the explanation of the new iterative method for root.

Procedia Engineering

A simple iterative method for finding the Dantzig selector, designed for linear regression problems, is introduced.

Computational Statistics & Data Analysis

The Kaczmarz method is an iterative method for solving overcomplete linear systems of equations Ax="b.

Linear Algebra and its Applications

The traditional iterative method for solving the transcendental equation is avoided.

European Journal of Mechanics - A-Solids

We propose a new iterative method for post-processing through casing resistivity (TCR) measurements.

Journal of Applied Geophysics

We present a randomized iterative method for approximating unknown function sequentially on arbitrary point set.

Journal of Computational Physics

We employ Anderson extrapolation to accelerate the classical Jacobi iterative method for large, sparse linear systems.

Journal of Computational Physics

An approximate analytical solution is found with a certain iterative method for a flat punch.

International Journal of Solids and Structures

Expert writing Tips

Best practice

When describing a process that refines results through repetition, use "iterative method for" to clearly convey the systematic and incremental nature of the approach.

Common error

Avoid using "iterative method for" when the process involves a single step or a linear sequence without feedback or repetition. Using it in the wrong context could make the text confusing.

Linguistic Context

The phrase "iterative method for" functions as a prepositional phrase, often serving as an adjective modifying a noun. It specifies the type of method used, emphasizing its repetitive and refining nature. According to Ludwig, the phrase is correct and usable.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "iterative method for" is a prepositional phrase, used to describe a method that involves repetitive steps to achieve a desired outcome. As Ludwig AI confirms, this phrase is grammatically correct and widely used, especially in scientific and technical contexts. The analysis reveals that it’s most commonly found in the field of science and is used to convey a systematic process of gradual improvement. To ensure clarity, it's best to use "iterative method for" when the process indeed involves repetition and refinement. For alternative expressions, consider using "repetitive technique for" or "cyclic process for".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

iterative approach to

Switches the preposition from "for" to "to", slightly altering the emphasis.

repetitive technique for

Replaces "method" with "technique", emphasizing the systematic procedure involved.

repeating algorithm for

Replaces "method" with "algorithm", suitable in computational contexts.

cyclic process for

Substitutes "iterative" with "cyclic", highlighting the recurring nature of the process.

step-by-step approach for

Replaces "iterative method" with a more descriptive phrase, focusing on the gradual progression.

incremental strategy for

Focuses on the gradual improvement achieved through iteration.

successive approximation technique for

Highlights the approximation aspect of the iterative process.

recursive procedure for

Uses "recursive" to emphasize the self-referential nature of the method.

feedback loop method for

Highlights the feedback aspect inherent in iterative processes.

trial-and-error process for

Emphasizes the exploratory nature of the method involving repeated attempts.

FAQs

How can I use "iterative method for" in a sentence?

Use "iterative method for" to describe a process that involves repeated steps to achieve a desired outcome, such as "The iterative method for solving complex equations involves successive approximations."

What are some alternatives to "iterative method for"?

You can use alternatives like "repetitive technique for", "cyclic process for", or "step-by-step approach for", depending on the specific context.

When is it appropriate to use "iterative method for"?

Use "iterative method for" when you want to emphasize that a solution or result is achieved through repeated cycles of refinement or improvement.

What's the difference between "iterative method for" and "direct method for"?

An "iterative method for" involves repeated steps to converge on a solution, while a "direct method for" aims to find the solution in a single step or a fixed number of steps without repetition.