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Description
Introduction to Linear OptimizationThe book presents a graduate level, rigorous, and self contained introduction to linear optimization (LO), the presented topics being expressive abilities of LO; geometry of LO structure of polyhedral sets, LO duality and its applications; traditional LO algorithms primal and dual simplex methods, and network simplex method; polynomial time solvability of LO via ellipsoid algorithm; conic programming with emphasis on expressing abilities of second
The book presents a graduate level, rigorous, and self-contained introduction to linear optimization (LO), the presented topics being
- expressive abilities of LO;
- geometry of LO - structure of polyhedral sets, LO duality and its applications;
- traditional LO algorithms - primal and dual simplex methods, and network simplex method;
- polynomial time solvability of LO via ellipsoid algorithm;
- conic programming with emphasis on expressing abilities of second order and semidefinite optimization, and polynomial time primal-dual interior point algorithms for linear and semidefinite optimization.
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4.1 ★★★★★
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Product Reviews
★★★★★ 5
Easy to Hang
Color: Black, Size: 3 Pack
This shelf is easy to hang, comes with great anchors and looks perfect. The quality looks nice and is was an easy hanging process compared to other shelves. Worth it for the price.
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Reviewed in the United States on May 18, 2026
★★★★★ 5
One of the best deals available!
Color: White, Size: 2 Pack
Extremely sturdy, good looking and easy to install. I have a couple of dozen feet of assorted lengths in the kitchen, bedroom, living room and foyer. Holding all sorts of antique clocks, audio equipment and cooking stuff from my flours and assorted cornmeals to cases of powdered “lemonade”.
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Reviewed in the United States on April 18, 2026
★★★★★ 3
Mounting system doesn’t align on one of three shelves.
Color: Walnut, Size: 3 Pack
Nice shelves. Install was super easy except on one of the three shelves. The main mounting shelf holes were off so the shelf will not slip onto horizontal mounting poles unless I modify the shelf. So a 20 minute job becomes a two hour job.
The mounting system does appear very sturdy just not aligned.
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Reviewed in the United States on January 4, 2026
★★★★★ 5
Solid Floating Shelves 🛠️🏠
Color: Black, Number Of Shelves: 4, Size: 15.7in
I have installed four sets of the black floating shelves in my office. They are made of high quality materials, featuring a sophisticated black woodgrain finish with a natural texture. Supposedly, each unit can handle up to 22 pounds, though I would not recommend testing that limit with your vintage bowling ball collection if you value your flooring. They are awesome.
The value is good for a set of two. Each shelf measures 22x7x1 (56x17x3 cm) inches, providing a decent amount of storage for books or decor. The installation was straightforward since the hardware for multiple wall types was included. They work well in the kitchen for spices or in the bedroom for personal belongings.
One tip for a secure fit: use a level during installation and make sure the bracket is flush against the wall before sliding the shelf on, or your photos might look like they are sliding off a mountain 📐
These shelves offer a clean, modern look and stay stable once mounted correctly. They are a practical choice for adding functional display space to any room 🖼️
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Reviewed in the United States on May 4, 2026
★★★★★ 5
Good looking shelves and easy install - skip the included drywall anchors
Color: Black, Number Of Shelves: 2, Size: 22in
I installed these shelves in a bedroom to get things off my dresser and some decor. Once mounted they look really nice. The black finish looks clean and modern and they blend in well with the room.
Installation was pretty straightforward. The metal bracket mounts to the wall first and then the shelf slides over the bracket. As long as you take your time lining things up it’s a simple project.
One thing I strongly recommend is not using the white plastic self-drilling drywall anchors that come with the kit. I’ve used that style before on other projects and they tend to strip out easily and leave larger holes in drywall. I used better anchors instead and the shelves mounted much more securely.
The rest of the hardware worked fine and once installed the shelves feel solid and hold items well.
Pros
- Clean modern look
- Easy installation
- Feels solid once mounted
- Good size for books or decor
Cons
- The small level included isn’t very accurate — use your own level
- One of the metal brackets was slightly bent out of the box but straightened out easily
Helpful tip:
Use your own level and better drywall anchors if you have them. It makes installation easier and the shelves will mount much more securely.
Final thoughts:
For the price these are nice looking floating shelves that install easily and work well for light storage and decor.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 13, 2026
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