Menu
Close
Ask an Engineer
Quote list
0
Quote list
Products Overview
Ask an Engineer
Quote List / Send Request to PI
Search Blog Posts by Tag
Content
Ask an Engineer
Quote list
0
Quote list
Products Overview
Ask an Engineer
Quote List / Send Request to PI
Tag: Fast Algorithms for Optimization
Close
Home
Product Quick View
Product Categories
Back
Product Categories
Product Finder
Back
Product Finder
Product Finder
Customized Products
Product Demonstrators
Air Bearings / Stages
Back
Air Bearings / Stages
Precision Air Bearing Stages, Components, Systems Overview
Linear Air Bearing Stages, Linear Air Bearings
Air Bearing Rotary Tables - Precision Air Bearing Rotation Stages
XYZ Stage for Ultrafast Laser Material Processing
Multi-Axis Alignment Stage for Silicon Photonics Applications
Gantries / Cartesian Robots
Hexapod 6-Axis Stages
Back
Hexapod 6-Axis Stages
6-Axis Hexapods / Parallel Positioners Overview
Control of Hexapod / Stewart Platforms: Hexapod Motion Controllers & Simulation Software
Vacuum Stages & Actuators
Motorized Actuators
Back
Motorized Actuators
Overview All Actuator Types
High Speed Actuators / Modules
Voice Coil Actuators
Piezo Motor Actuators
Piezo Flexure Actuators
Vacuum Stages & Actuators
Linear Stages: X ... XYZ
Back
Linear Stages: X ... XYZ
Linear Stages Overview
Miniature Stages
Voice Coil Stages
Fast Linear Stages (Direct Drive)
Industrial Linear Stages
Z-Stages
XY Stages
XYZ / XY-Theta Stages
Granite Systems, Automation
6-Axis Stages
Vacuum Stages & Actuators
Motion Controllers
Rotary Stages, Goniom.
Back
Rotary Stages, Goniom.
Rotary Stages Overview
Stepper Motor Rotation Stages
Miniature Rotary Stages
Direct Drive Rotary Tables Precision Rotation Stages
Vacuum Stages & Actuators
Tip/Tilt Stages
Piezo Flexure Stages <1mm
Back
Piezo Flexure Stages <1mm
Overview - Piezo Flexure Stages
Linear Piezo Flexure Stages
Vertical & Z-Tip-Tilt Stages
Fast Steering Mirrors
Nano-Focus Motors & Stages
Back
Nano-Focus Motors & Stages
Overview - Nanofocusing Stages
Next Generation Fast Focus Stages
XY Piezo Flexure Stages
XYZ Piezo Flexure Stages
6-Axis Piezo Flexure Stages
Vacuum Stages & Actuators
Nanopositioning Tutorial
Piezo Motion Control Wiki
Piezo Motors / Stages >1mm
Back
Piezo Motors / Stages >1mm
Piezo Motors Overview
Linear Actuators with Piezo Motors
Linear Stages with Piezo Motors
XY Stages with Piezo Motors
Rotary Stages with Piezo Motors
Vacuum Stages & Actuators
Piezo Motor Types: How to Choose
Piezo Actuators: Motion, Force
Back
Piezo Actuators: Motion, Force
Piezo Motion: Actuators, Stacks, Chips, Benders, Tubes, Shear…
Amplified Piezo Actuators
Value-Added Piezo Assemblies
Piezo Motion Control Wiki
Vacuum Stages & Actuators
Piezo Transducers: Sensing, Ultrasound
Back
Piezo Transducers: Sensing, Ultrasound
Overview: Piezo Ceramic Components & Transducers for OEMs
Value-Added Piezo Assemblies
Ultrasonic Transducers
DuraAct Patch Transducers
Disks, Rods and Cylinders
Plates and Blocks
Tubes
Bending Elements
Rings
Spheres and Hemispheres
PICMA® Piezo Linear Actuators
Nano-Measuring Sensors
Laser Beam Steering, Mirrors
Microscopy, Imaging, LSc
Back
Microscopy, Imaging, LSc
Stages for Microscopy & Bio-Imaging Overview
Application Stories: Medical & Life Sciences
Motorized Microscope Stages for Automation
Photonics Alignment Systems
Solutions for Semiconductor Manufacturing
Products for Astronomy
Vacuum Products
Back
Vacuum Products
Vacuum Technology / Products Overview
Vacuum
Software Suite
Back
Software Suite
Communication Concept & Platform-Independent Interfaces
Motion Control Software
Simulation & Emulation
Programming, Interfaces, and Integration
3rd Party Integrations
Scan and Alignment Tasks
Controllers, Drivers, Software
Back
Controllers, Drivers, Software
Overview - Controllers, Drivers, Software
Piezo Controllers and Amplifiers
Motion Controllers for Motorized Stages
Hexapod Controllers
ACS Motion Control
Software for Motion Controllers
Multi-Axis Positioners
Accessories: Adapters & Cables
More Products
Back
More Products
More Products Overview
Air Bearings & Stages
Linear Stage - Precision Positioners Overview
Back
Linear Stage - Precision Positioners Overview
Ultra-High Precision Linear Translation Stage
Motorized Stages and Actuators
Linear Stages
Back
Linear Stages
Stages with Magnetic Direct-Drive Linear Motor
Stages with Stepper, DC & Brushless DC (BLDC) Motors
Vertical Stages with Stepper, DC & Brushless DC (BLDC) Motors
Miniature Linear Stages
Motorized Linear Slides
Motorized Stages Overview
Micropositioning Stages
Miniature Rotation Stages
Multi Axis Motion Systems
Back
Multi Axis Motion Systems
Hexapod Motion Controllers
Miniature Hexapods
Simulation & Emulation
Fast Multi-Channel Photonics Alignment
Nanopositioning Piezo Flexure Stages
Back
Nanopositioning Piezo Flexure Stages
Multi-Axis Piezo Flexure Stages
PIFOC® Objective & PInano® Sample Scanners for Microscopy
Linear Piezo Flexure Stages
XY Piezo Flexure Stages
XYZ Piezo Flexure Scanners
Piezo Flexure Tilting Mirrors
Piezoelectric Transducers & Actuators
Back
Piezoelectric Transducers & Actuators
Disks, Rods and Cylinders
Plates and Blocks
Rings
Tubes
Spheres and Hemispheres
Piezoceramic Composites
Bending Elements
PICMA® Piezo Linear Actuators
PICMA® Piezo Bender Actuators
PICA Piezoelectric Stack Actuators
DuraAct Patch Transducers
Picoactuator® Piezoelectric Crystal
PZT Components
Back
PZT Components
Piezoceramic Disks and Micro Disks
Piezoelectric Plates and Block Transducers
Piezoelectric Spheres & Hemisphere Transducers
Piezoelectric Ceramic Rings
Piezoelectric Tubes, Scanner Tubes
Piezoelectric Bending Elements
Nanopositioning Piezo Actuators
Linear Actuators
Back
Linear Actuators
PiezoMike for Long-Term Stability
Linear Actuators with Stepper & DC Servo Motors
Voice Coil Actuators with High Dynamics & Force Control Option
PiezoMove Lever Actuators
Nanopositioning Piezo Actuators
PiezoWalk® Actuators with High Force & Stability
PIRest Active Piezo Shims
PiezoWalk® Actuators with High Force & Stability
Rotation Stages
Voice Coil Actuators with High Dynamics & Force Control Option
XY Stages
XY Piezo Flexure Stages
Legacy Products
Back
Legacy Products
Legacy Products Overview
Piezo Controllers
Piezo Actuators
Piezo Stages
Fast Steering Mirrors
Micropositioning Stages
Rotary Stages
Photonics
Motorized Controllers
Applications
Back
Applications
Photonics Alignment Solutions
Semiconductor Manufacturing
Laser Processing
Free-Space Optical Comm
Life Sciences, Imaging, Microscopy
Precision Automation
Aerospace
Astronomy
Product Demos
Markets
Tech Blog
Expertise
Back
Expertise
Competencies
Back
Competencies
Piezo Technology
Nano Positioning
Performance Automation
Markets
Back
Markets
Industrial Automation
Back
Industrial Automation
Laser Materials Processing
Electronics Manufacturing
Measurement, Test & Inspection
Flow Metering
Sensor Devices
Hydroacoustics
Industrial Dispensing
Industrial Printing
Microscopy and Life Sciences
Back
Microscopy and Life Sciences
Surgical Robots
Endoscopy & In Vivo Diagnostics
IVD In Vitro Diagnostics
Microscopy
Therapeutic and Surgical Instruments
Medical Sensors
Microfluidics
Diagnostic Imaging
Medical Implants
Semiconductor
Photonics
Back
Photonics
Silicon Photonics
Quantum Photonics
Free Space Optical Communication
Delay Line
Large-Scale Scientific Projects
Back
Large-Scale Scientific Projects
Astronomy
Beamline Instrumentation
Customers
Back
Customers
OEM
OEM Piezo Ceramics
Technologies
Back
Technologies
Piezo Technology
Back
Piezo Technology
Fundamentals of Piezo Technology
Properties of Piezo Actuators
Generating Ultrasound
Piezoceramic Materials
Manufacturing Technology
PICMA® Technology
Integrated Piezo Actuators
DuraAct Patch Transducer Technology
PIRest Actuators
Piezoelectric Drives
Back
Piezoelectric Drives
Piezo Actuators
PiezoWalk® Walking Drives
PILine® Ultrasonic Piezomotors
Piezo Inertia Drives
PiezoMike Linear Actuators
Comparison: Piezo Motors & Drive Technologies
Electromagnetic Drives
Back
Electromagnetic Drives
Rotating Electric Motors
Magnetic Direct Drives
PIMag® 6-D Magnetic Levitation
Hybrid Concept
Parallel Kinematics
Back
Parallel Kinematics
Piezo Positioning Systems with Parallel Kinematics
Multi-Axis Positioners
Hexapod as Motion Simulator
Hexapods in Microproduction
Sensor Technologies
Back
Sensor Technologies
Capacitive Sensors
Incremental Sensors
PIOne Optical Nanometrology Encoder
Comparison: Position Sensor Technologies
Controllers & Software
Back
Controllers & Software
Digital & Analog Interfaces
EtherCAT Connectivity of PI Products
Control of Piezo Actuators
Digital Motion Controllers
Software
Active Alignment
Guiding Systems & Force Transmission
Back
Guiding Systems & Force Transmission
Classical Guiding Systems
Flexure Guiding Systems
Magnetic Bearings
PIglide Air Bearing Technology
Vacuum
Knowledge Center
Back
Knowledge Center
Tech Blog
Glossary
Demos/Videos
Back
Demos/Videos
Application Demos
Expert Interviews
Educational Videos
Product and System Demonstrators
Webinars
Knowledge Exchange
Back
Knowledge Exchange
It's Possible Sessions – Laser World of PI
It’s Possible Sessions – Enabling the Technologies for Semicon
It’s Possible Sessions – Unleashing the Power of Photonics
Register Now! Joint Webinar Averna & PI
Tutorials
Back
Tutorials
Piezo Motion Control Tutorial
Nanopositioning Basics
Product Demos
Expert Interviews
Educational Videos
Downloads
Additional Resources
Back
Additional Resources
Ask an Engineer (direct email request)
User Manuals, Software, Whitepapers
Catalogs, Brochures & Certificates
Catalog Preview & Download
ISO 90001 Certificates
Metric Tolerances & Thread Pitch
Motion Control Software
Technical Papers / Whitepapers
Videos & Animations
About PI
Back
About PI
About PI USA Overview
Capabilities
Back
Capabilities
Capabilities in Production Overview
Sustainable Investment
The PI Group
Back
The PI Group
About ACS Motion Control
About PI Ceramic
About PI miCos
About push4impact
News / Events / Tradeshows
Careers
Locations & Addresses
ITAR / Export Controlled Applications
Contact / Service
Ask An Engineer
Customers
News
Careers
Technology Demos