Engineering↗
LLL-Based Hermite Normal Form Computation
Using lattice reduction to control entry growth during Hermite normal form computation, and when this beats the modular approach.
Tag
coefficient growth
Every page in the KEVOS library tagged coefficient growth. 5 pages.
Engineering↗
Matrix Representation and Cost Model
Dense and sparse matrix representations, the cost model for exact linear algebra, and why coefficient growth rather than operation count usually decides performance.
Engineering↗
Polynomial GCD over a Unique Factorisation Domain
Computing polynomial GCDs over the integers, the growth problem in remainder sequences, and the modular approach that sidesteps it.
Engineering↗
The Extended Euclidean Algorithm and Bezout Coefficients
Computing Bezout coefficients alongside the GCD, modular inversion as its principal application, and controlling coefficient growth.
Engineering↗
The Sub-Resultant GCD Algorithm
The sub-resultant remainder sequence: predicting the divisible factor at each step to keep coefficients near minimal without content computation.
Related
Other tags in the library.
mathematics 387
abstract algebra 252
Machine Design 184
business 179
project management 158
Computational Number Theory 123
algebra handbook 85
graduate mathematics 85
handbook 79
templates and examples 78
History of Engineering 77
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algebra and trigonometry 74
universal algebra 62
algebra 60
project delivery 60
principles of project management 58
advanced algebra 53
Fasteners and Joints 53
Civil Engineering 48
CAD 42
Context and scope 42
Machine Elements 40
Threading and Gaging 37
Mechanical Engineering 35
Power Transmission 34
template 34
Operational Excellence 32
example 31
project leadership 31
project teams 31
strategy 31
Business Expansion 29
Metrology 29
project management research 29
Sales & Marketing 29
personal development 27
behaviour change 26
habits 26
systems 26