matrix techniques

USAGE SUMMARY

The phrase "matrix techniques" is correct and usable in written English.
It can be used in contexts related to mathematics, computer science, or data analysis, where specific methods or approaches involving matrices are discussed. Example: "The research paper focuses on various matrix techniques for solving linear equations efficiently."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

29 human-written examples

We will also discuss applications of random matrix techniques to problems in engineering and science.

Massachusetts Institute of Technology

Sparse matrix techniques are further integrated into AHI to achieve high computational efficiency.

Combustion and Flame

Concentrations were determined using a combination of singular value decomposition matrix techniques and fitting of rotational line sequences.

Proceedings of the Combustion Institute

Sparse matrix techniques had been investigated for solving non-linear least squares fits with such a big number of parameters.

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Forward and backward transfer matrix techniques are utilized in the analytical formulation of solutions for the multilayered half space.

International Journal of Solids and Structures

In our parallel hybrid DC (PHDC) algorithm, MMM is accelerated by using HSS matrix techniques when the intermediate matrix is large.

Journal of Computational and Applied Mathematics

Human-verified similar examples from authoritative sources

Similar Expressions

31 human-written examples

Transfer matrix technique is used to study the layered materials.

Ultrasonics

The transfer matrix technique is an efficient tool for calculating sound transmission through multilayered structures.

Journal of Sound and Vibration

The boundary values of vorticity are determined using an influence matrix technique.

Journal of Computational Physics

The influence matrix technique is used to transform these systems into decoupled parabolic and elliptic problems.

Journal of Computational Physics

The accuracy of these is verified using a monodromy matrix technique.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When writing about "matrix techniques", be specific about the type of matrices and their application to enhance clarity. For example, specify if you're referring to "sparse matrix techniques" or "transfer matrix techniques".

Common error

Avoid using "matrix techniques" as a catch-all term. Instead, identify the specific technique or method being employed to ensure clarity and avoid ambiguity. For example, instead of saying "matrix techniques were used," specify if it was "singular value decomposition" or "sparse matrix techniques".

Linguistic Context

The phrase "matrix techniques" primarily functions as a noun phrase. It refers to a set of methods or procedures that utilize matrices to solve mathematical, scientific, or engineering problems. Ludwig examples showcase its use in describing specific computational approaches.

Expression frequency: Common

Frequent in

Science

76%

Academia

20%

Formal & Business

4%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "matrix techniques" is a grammatically correct and commonly used term, especially within scientific and academic domains. As Ludwig AI confirms, it is suitable for describing methods or procedures that involve matrices. The analysis reveals that the phrase functions primarily as a noun phrase, serving to identify specific methods in computational and analytical processes. Its register is formal and scientific, consistent with its frequent use in academic papers and scientific publications. Related phrases include "matrix methods", "matrix approaches", and "linear algebra techniques". When using the phrase, it's best practice to be specific about the type of matrices and applications to avoid overgeneralization. The most common sources mentioning "matrix techniques" are ScienceDirect, Journal of Computational Physics, and Journal of Sound and Vibration.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

matrix methods

Replaces "techniques" with "methods", a more general term for procedures.

matrix approaches

Substitutes "techniques" with "approaches", emphasizing a broader strategy.

linear algebra techniques

Specifies that the techniques are related to linear algebra.

matrix algorithms

Replaces "techniques" with "algorithms", implying a more structured and computational procedure.

matrix-based methods

Uses a compound adjective to describe methods based on matrices.

matrix computation methods

Emphasizes the computational aspect of the matrix techniques.

use of matrix algebra

Focuses on the application of matrix algebra.

application of matrix theory

Highlights the theoretical aspect and its practical application.

matrix manipulation methods

Emphasizes the manipulation of matrices to achieve a desired result.

computational matrix procedures

Highlights that the methods are computational and procedural.

FAQs

What are some common examples of "matrix techniques"?

Common examples of "matrix techniques" include singular value decomposition, sparse matrix techniques, and transfer matrix techniques. The specific technique depends on the application.

How do I use "matrix techniques" in a sentence?

You can use "matrix techniques" in a sentence like this: "The study employs various "matrix techniques" to solve complex linear equations efficiently."

What's the difference between "matrix techniques" and "matrix methods"?

"Matrix techniques" and "matrix methods" are often used interchangeably. However, "matrix techniques" may imply a slightly more sophisticated or specialized approach compared to the broader term "matrix methods".

Are "matrix algorithms" a type of "matrix techniques"?

Yes, "matrix algorithms" are a subset of "matrix techniques". Algorithms are specific, step-by-step procedures, whereas "matrix techniques" encompasses a broader range of methods and approaches.