Title
Spectral Functions and Smoothing Techniques on Jordan Algebras: How algebraic techniques can help to design efficient optimizati,Used
Delivery time: 8-12 business days (International)
Convex optimization has witnessed a considerable progress, mainly due to the development of powerful algorithms and software. In fact, one class of convex problems, called selfscaled, can be particularly efficiently solved. This class encompasses a large amount of reallife convex optimization problems, including linear and semidefinite programming. This class is best described using an algebraic structure known as formally real (or Euclidean) Jordan algebra, which provides an elegant and powerful unifying framework for its study. This book proposes an extensive and selfcontained description of these algebras. Our work focuses on the socalled spectral functions on formally real Jordan algebras, a natural generalization of spectral functions of symmetric matrices. Based on an original variational analysis of eigenvalues in Jordan algebras, we discuss their most important properties, such as differentiability and convexity. We show how these results can be applied to extend several algorithms existing for linear or secondorder programming to the general class of selfscaled problems, e.g. the powerful smoothing techniques of Nesterov.
By changing our most important processes and
products, we have already made a big leap forward. This ranges from the
increased use of more sustainable fibers to the use of more
environmentally friendly printing processes to the development of
efficient waste management in our value chain.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.